title:
Study of the decay
  $\bar{B}^{0}\rightarrow\Lambda_{c}^{+}\bar{p}\pi^{+}\pi^{-}$ and its
  intermediate states

abstract:
  We study the decay
$\bar{B}^{0}\rightarrow\Lambda_{c}^{+}\bar{p}\pi^{+}\pi^{-}$, reconstructing
the \Lambda_{c}^{+} baryon in the $p K^{-}\pi^{+}$ mode, using a data sample of
$467\times 10^{6}$ $B\bar{B}$ pairs collected with the BaBar detector at the
PEP-2 storage rings at SLAC. We measure branching fractions for decays with
intermediate $\Sigma_{c}$ baryons to be ${\cal
B}[\bar{B}^{0}\rightarrow\Sigma_{c}(2455)^{++}\bar{p}\pi^{-}]=(21.3 \pm 1.0 \pm
1.0 \pm 5.5) \times 10^{-5}$, ${\cal
B}[\bar{B}^{0}\rightarrow\Sigma_{c}(2520)^{++}\bar{p}\pi^{-}]=(11.5\pm 1.0 \pm
0.5 \pm 3.0)\times 10^{-5}$, ${\cal
B}[\bar{B}^{0}\rightarrow\Sigma_{c}(2455)^{0}\bar{p}\pi^{+}]=(9.1 \pm 0.7 \pm
0.4 \pm 2.4)\times10^{-5}$, and ${\cal
B}[\bar{B}^{0}\rightarrow\Sigma_{c}(2520)^{0}\bar{p}\pi^{+}]= (2.2 \pm 0.7 \pm
0.1\pm 0.6) \times 10^{-5}$, where the uncertainties are statistical,
systematic, and due to the uncertainty on the
$\Lambda_{c}^{+}\rightarrow\proton\Km\pi^{+}$ branching fraction, respectively.
For decays without $\Sigma_{c}(2455)$ or $\Sigma_{c}(2520)$ resonances, we
measure ${\cal
B}[\bar{B}^{0}\rightarrow\Lambda_{c}^{+}\bar{p}\pi^{+}\pi^{-}]_{\mathrm{non-\Sigma_{c}}}=(79
\pm 4 \pm 4 \pm 20)\times10^{-5}$. The total branching fraction is determined
to be ${\cal
B}[\bar{B}^{0}\rightarrow\Lambda_{c}^{+}\bar{p}\pi^{+}\pi^{-}]_{\mathrm{total}}=(123
\pm 5 \pm 7 \pm 32)\times10^{-5}$. We examine multibody mass combinations in
the resonant three-particle $\Sigma_{c}\bar{p}\pi$ final states and in the
four-particle $\Lambda_{c}^{+}\bar{p}\pi^{+}\pi^{-}$ final state, and observe
different characteristics for the $\bar{p}\pi$ combination in neutral versus
doubly-charged $\Sigma_{c}$ decays.


title: The bending of an elastic beam by a liquid drop: A variational approach

abstract:
  We study the interaction of a liquid drop with an elastic beam in the case
where bending effects dominate. We use a variational approach to derive
equilibrium equations for the system in the presence of gravity and in the
presence or absence of contact line pinning. We show that the derived
equilibrium equations for the beam subsystem reveal the external forces applied
on the beam by the liquid and vapor phases. Among these, the force applied at
the triple line (the curve where the three phases meet) is found to lie along
the liquid-vapor interface.


title:
Nonthermal emission properties of the northwestern rim of supernova
  remnant RX J0852-4622

abstract:
  The supernova remnant (SNR) RX J0852-4622 (Vela Jr., G266.6-1.2) is one of
the most important SNRs for investigating the acceleration of multi-TeV
particles and the origin of Galactic cosmic rays because of its strong
synchrotron X-ray and TeV gamma-ray emission, which show a shell-like
morphology similar to each other. Using the XMM-Newton archival data consisting
of multiple pointing observations of the northwestern rim of the remnant, we
investigate the spatial properties of the nonthermal X-ray emission as a
function of distance from an outer shock wave. All X-ray spectra are well
reproduced by an absorbed power-law model above 2 keV. It is found that the
spectra show gradual softening from a photon index 2.56 in the rim region to
2.96 in the interior region. We show that this radial profile can be
interpreted as a gradual decrease of the cutoff energy of the electron spectrum
due to synchrotron cooling. By using a simple spectral evolution model that
includes continuous synchrotron losses, the spectral softening can be
reproduced with the magnetic field strength in the post-shock flow to less than
several tens of uG. If this is a typical magnetic field in the SNR shell,
gamma-ray emission would be accounted for by inverse Compton scattering of
high-energy electrons that also produce the synchrotron X-ray emission. Future
hard X-ray imaging observations with Nustar and ASTRO-H and TeV gamma-ray
observations with the Cherenkov Telescope Array (CTA) will allow to us to
explore other possible explanations of the systematic softening of the X-ray
spectra.


title: Tensorial description of quantum mechanics

abstract:
  Relevant algebraic structures for the description of Quantum Mechanics in the
Heisenberg picture are replaced by tensorfields on the space of states. This
replacement introduces a differential geometric point of view which allows for
a covariant formulation of quantum mechanics under the full diffeomorphism
group.


title:
Coding multitype branching forests: application to the law of the total
  progeny of branching forest and to enumerations

abstract:
  By extending the breadth first search algorithm to any d-type critical or
subcritical irreducible branching forest, we show that such forests may be
encoded through d independent, integer valued, d-dimensional random walks. An
application of this coding together with a multivariate extension of the Ballot
Theorem which is proved here, allow us to give an explicit form of the law of
the total progeny, jointly with the number of subtrees of each type, in terms
of the offspring distribution of the branching process. We then apply these
results to some enumeration formulas of multitype forests with given degrees
and to a new proof of the Lagrange-Good inversion Theorem.


title: Convergence acceleration of Kaczmarz's method

abstract:
  The method of alternation projections (MAP) is an iterative procedure for
finding the projection of a point on the intersection of closed subspaces of an
Hilbert space. The convergence of this method is usually slow, and several
methods for its acceleration have already been proposed. In this work, we
consider a special MAP, namely Kaczmarz' method for solving systems of linear
equations. The convergence of this method is discussed. After giving its matrix
formulation and its projection properties, we consider several procedures for
accelerating its convergence. They are based on sequence transformations whose
kernels contain sequences of the same form as the sequence of vectors generated
by Kaczmarz' method. Acceleration can be achieved either directly, that is
without modifying the sequence obtained by the method, or by restarting it from
the vector obtained by acceleration. Numerical examples show the effectiveness
of both procedures.


title:
Energy-dependent crossover from anisotropic to isotropic magnetic
  dispersion in lightly-doped La1.96Sr0.04CuO4

abstract:
  Inelastic neutron scattering experiments have been performed on lightly-doped
La$_{1.96}$Sr$_{0.04}$CuO$_{4}$, which shows diagonal incommensurate spin
correlations at low temperatures. We previously reported that this crystal,
with a single orthorhombic domain, exhibits the "hourglass" dispersion at low
energies [Phys. Rev. Lett. 101, 197001 (2008)]. In this paper, we investigate
in detail the energy evolution of the magnetic excitations up to 65 meV. It is
found that the anisotropic excitations at low energies, dispersing only along
the spin modulation direction, crossover to an isotropic, conical dispersion
that resembles spin waves in the parent compound La$_2$CuO$_{4}$. The change
from two-fold to full symmetry on crossing the waist of the hourglass
reproduces behavior first identified in studies of underdoped
YBa$_2$Cu$_3$O$_{6+x}$. We discuss the significance of these results.


title:
On the Josephson effect in a Bose-Einstein condensate subject to a
  density dependent gauge potential

abstract:
  We investigate the coherent dynamics of a Bose-Einstein condensate in a
double well, subject to a density dependent gauge potential. Further, we derive
the nonlinear Josephson equations that allow us to understand the many-body
system in terms of a classical Hamiltonian that describes the motion of a
nonrigid pendulum with an initial angular offset. Finally we analyze the
phase-space trajectories of the system, and describe how the self-trapping is
affected by the presence of an interacting gauge potential.


title:
CV1 in the globular cluster M 22: confirming its nature through X-ray
  observations and optical spectroscopy

abstract:
  Context. Observations of cataclysmic variables in globular clusters appear to
show a dearth of outbursts compared to those observed in the field. A number of
explanations have been proposed, including low mass-transfer rates and/or
moderate magnetic fields implying higher mass white dwarfs than the average
observed in the field. Alternatively this apparent dearth may be simply a
selection bias. Aims. We examine multi-wavelength data of a new cataclysmic
variable, CV1, in the globular cluster M 22 to try to constrain its period and
magnetic nature, with an aim at understanding whether globular cluster
cataclysmic variables are intrinsically different from those observed in the
field. Methods. We use the sub-arcsecond resolution of the Chandra ACIS-S to
identify the X-ray counterpart to CV1 and analyse the X-ray spectrum to
determine the spectral model that best describes this source. We also examine
the low resolution optical spectrum for emission lines typical of cataclysmic
variables. Cross correlating the Halpha line in each individual spectrum also
allows us to search for orbital motion. Results. The X-ray spectrum reveals a
source best-fitted with a high-temperature bremsstrahlung model and an X-ray
unabsorbed luminosity of 1.8e32 erg/s (0.3-8.0 keV), which are typical of
cataclysmic variables. Optical spectra reveal Balmer emission lines, which are
indicative of an accretion disc. Potential radial velocity in the Halpha
emission line is detected and a period for CV1 is proposed. Conclusions. These
observations support the CV identification. The radial velocity measurements
suggest that CV1 may have an orbital period of ~7 hours, but further higher
resolution optical spectroscopy of CV1 is needed to unequivocally establish the
nature of this CV and its orbital period.


title:
Interplay between uniaxial strain and magnetophonon resonance in
  graphene

abstract:
  We study the fine structure of the phonon G peak in the inelastic light
scattering spectra of strained graphene in the presence of a quantizing
magnetic field. We show that under the conditions of the magnetophonon
resonance (MPR), the spectral line shape in Raman spectra of the \Gamma-point
longitudinal optic-transverse optical phonon undergoes multiple splitting and
acquires a strong dependence on the polarization of the incoming and detected
light. Interference of strain and MPR leads to the modification of the
anticrossing branches, introducing the variation of the light polarization
preferences depending on the proximity to the resonance, and their better
resolution between neighboring anticrossings.


title: The Physics and Physical Properties of Quasar Outflows

abstract:
  We describe two studies designed to characterize the total column densities,
kinetic energies, and acceleration physics of broad absorption line (BAL)
outflows in quasars. The first study uses new Chandra X-ray and ground-based
rest-frame UV observations of 7 quasars with mini-BALs at extreme high speeds,
in the range 0.1c to 0.2c, to test the idea that strong radiative shielding is
needed to moderate the mini-BAL ionizations and facilitate their acceleration
to extreme speeds. We find that the X-ray absorption is weak or absent, with
generally N_H < few x 10^22 mc^-2, and that radiative shielding is not
important. We argue that the mini-BAL ionizations are controlled, instead, by
high gas densities of order n_H ~ 4 x 10^8 cm^-3 in small outflow
substructures. If we conservatively assume that the total column density in the
mini-BAL gas is N_H < 10^22 cm^-2, covering >15% of the UV continuum source
along our lines of sight (based on measured line depths), then the radial
thickness of these outflows is only Delta_R < 3 x 10^13 cm and their transverse
size is > 8 x 10^15 cm. Thus the outflow regions have the shape of very thin
"pancakes" viewed face-on, or they occupy larger volumes like a spray of dense
cloudlets with a very small volume filling factor. We speculate that this
situation (with ineffective shielding and small dense outflow substructures)
applies to most quasar outflows, including BALs. Our second study focuses from
BALs of low-abundance ions, mainly PV 1118,1128 A, whose significant strengths
imply large column densities, N_H > 10^22 cm^-2, that can further challenge
models of the outflow acceleration. In spite of the difficulties of finding
this line in the Ly-alpha forest, a search through the SDSS DR9 quasar catalog
reveals >50 BAL sources at redshifts z>2.3 with strong PV BALs, which we are
now using to characterize the general properties of high-column outflows.


title:
Three-body force effect on off-shell mass operator and spectral
  functions in nuclear matter

abstract:
  Within the framework of the Brueckner theory, the off-shell behaviors of the
mass operator $M(k,\omega)=V(k,\omega)+iW(k,\omega)$, i.e., its dependence upon
the momentum $k$ and upon the nucleon frequency $\omega$, are investigated by
including nuclear three-body force (TBF). The first two terms of the hole-line
expansion of the mass operator are taken into account. The TBF effects on their
off-shell properties are discussed. A comparison is made between the on-shell
and off-shell values of $M_{1}$. The nucleon spectral function and nucleon
momentum distribution are also calculated, and the calculation shows that they
are hardly affected by the TBF effect at the saturation density. At a high
density two times greater than the saturation density, inclusion of the TBF may
lead to a visible effect on the spectral function and may enhance the depletion
of the hole states.


title:
Synchronous X-ray and Radio Mode Switches: a Rapid Global Transformation
  of the Pulsar Magnetosphere

abstract:
  Pulsars emit low-frequency radio waves through to high-energy gamma-rays that
are generated anywhere from the surface out to the edges of the magnetosphere.
Detecting correlated mode changes in the multi-wavelength emission is therefore
key to understanding the physical relationship between these emission sites.
Through simultaneous observations, we have detected synchronous switching in
the radio and X-ray emission properties of PSR B0943+10. When the pulsar is in
a sustained radio 'bright' mode, the X-rays show only an un-pulsed, non-thermal
component. Conversely, when the pulsar is in a radio 'quiet' mode, the X-ray
luminosity more than doubles and a 100%-pulsed thermal component is observed
along with the non-thermal component. This indicates rapid, global changes to
the conditions in the magnetosphere, which challenge all proposed pulsar
emission theories.


title: Electro-Mechanical Response of Top-Gated LaAlO3/SrTiO3 Heterostructures

abstract:
  LaAlO3/SrTiO3 heterostructures are known to exhibit a sharp, hysteretic
metal-insulator transition (MIT) with large enhanced capacitance near
depletion. To understand the physical origin of this behavior, the
electromechanical response of top-gated LaAlO3/SrTiO3 heterostructures is
probed using two simultaneous measurement techniques: piezoforce microscopy
(PFM) and capacitance spectroscopy. PFM measurements reveal local variations in
the hysteretic response, which is directly correlated with capacitance
measurements. The enhanced capacitance at the MIT is linked to
charging/discharging dynamics of nanoscale conducting islands, which are
revealed through PFM imaging and time-resolved capacitance and piezoresponse
measurements.


title: Quantum probes to assess correlations in a composite system

abstract:
  We suggest and demonstrate experimentally a strategy to obtain relevant
information about a composite system by only performing measurements on a small
and easily accessible part of it, which we call quantum probe. We show in
particular how quantitative information about the angular correlations of
couples of entangled photons generated by spontaneous parametric down
conversion is accessed through the study of the trace distance between two
polarization states evolved from different initial conditions. After estimating
the optimal polarization states to be used as quantum probe, we provide a
detailed analysis of the connection between the increase of the trace distance
above its initial value and the amount of angular correlations.


title: Null Phase Curves and Manifolds in Geometric Phase Theory

abstract:
  Bargmann invariants and null phase curves are known to be important
ingredients in understanding the essential nature of the geometric phase in
quantum mechanics. Null phase manifolds in quantum-mechanical ray spaces are
submanifolds made up entirely of null phase curves, and so are equally
important for geometric phase considerations. It is shown that the complete
characterization of null phase manifolds involves both the Riemannian metric
structure and the symplectic structure of ray space in equal measure, which
thus brings together these two aspects in a natural manner.


title:
Many toric ideals generated by quadratic binomials possess no quadratic
  Gr\"obner bases

abstract:
  Let $G$ be a finite connected simple graph and $I_{G}$ the toric ideal of the
edge ring $K[G]$ of $G$. In the present paper, we study finite graphs $G$ with
the property that $I_{G}$ is generated by quadratic binomials and $I_{G}$
possesses no quadratic Gr\"obner basis. First, we give a nontrivial infinite
series of finite graphs with the above property. Second, we implement a
combinatorial characterization for $I_{G}$ to be generated by quadratic
binomials and, by means of the computer search, we classify the finite graphs
$G$ with the above property, up to 8 vertices.


title: A 10,000 Years Old Explosion in DR21

abstract:
  Sensitive high angular resolution ($\sim$ 2$"$) CO(2-1) line observations
made with the Submillimeter Array (SMA) of the flow emanating from the
high-mass star forming region DR21 located in the Cygnus X molecular cloud are
presented. These new interferometric observations indicate that this well known
enigmatic outflow appears to have been produced by an explosive event that took
place about 10,000 years ago, and that might be related with the disintegration
of a massive stellar system, as the one that occurred in Orion BN/KL 500 years
ago, but about 20 times more energetic. This result therefore argues in favor
of the idea that the disintegration of young stellar systems perhaps is a
frequent phenomenon present during the formation of the massive stars. However,
many more theoretical and observational studies are still needed to confirm our
hypothesis.


title:
On the regularity of the solution map of the incompressible Euler
  equation

abstract:
  In this paper we consider the incompressible Euler equation on the Sobolev
space $H^s(\R^n)$, $s > n/2+1$, and show that for any $T > 0$ its solution map
$u_0 \mapsto u(T)$, mapping the initial value to the value at time $T$, is
nowhere locally uniformly continuous and nowhere differentiable.


title:
Deadline is not Enough: How to Achieve Importance-aware Server-centric
  Data Centers via a Cross Layer Approach

abstract:
  Today's datacenters face important challenges for providing low-latency
high-quality interactive services to meet user's expectation. For improving the
application throughput, recent research works have embedded application
deadline information into design of network flow schedule to meet the latency
requirement. Here, arises a critical question: does application-level
throughput mean providing better quality service? We note that there are
usually a set of semantic related responses (or flows) for answering a query;
and, some responses are highly correlative with the query while others do not.
Thus, this observation motivates us to associate the importance of the contents
with the application flows (or responses) in order to enhance the service
quality. We first model the application importance maximization problem in a
generic network and in a server-centric network. Since both of them are too
complicated to be deployed in the real world, we propose the importance-aware
delivery protocol, which is a distributed event-driven rate-based delivery
control protocol, for server-centric datacenter networks. The proposed protocol
is able to make use of the multiple disjoin paths of server-centric network,
and jointly consider flow importance, flow size, and deadline to maximize the
goodput of most-related semantic data of a query. Through real-data-based or
synthetic simulations, the results show that our proposed protocol
significantly outperforms D3 and MPTCP in terms of the precision at K and the
sum of application-level importance.


title:
Quasiparticle lifetime in ultracold fermionic mixtures with density and
  mass imbalance

abstract:
  We show that atomic Fermi mixtures with density and mass imbalance exhibit a
rich diversity of scaling laws for the quasiparticle decay rate beyond the
quadratic energy and temperature dependence of conventional Fermi liquids. For
certain densities and mass ratios, the decay rate is linear whereas in other
cases it exhibits a plateau. Remarkably, this plateau extends from the deeply
degenerate to the high temperature classical regime of the light species. Many
of these scaling laws are analogous to what is found in very different systems
including dirty metals, liquid metals, and high temperature plasmas. The Fermi
mixtures can in this sense span a whole range of seemingly diverse and separate
physical systems. Our results are derived in the weakly interacting limit
making them quantitatively reliable. The different regimes can be detected with
radio-frequency spectroscopy.


title:
PREMIER - PRobabilistic Error-correction using Markov Inference in
  Errored Reads

abstract:
  In this work we present a flexible, probabilistic and reference-free method
of error correction for high throughput DNA sequencing data. The key is to
exploit the high coverage of sequencing data and model short sequence outputs
as independent realizations of a Hidden Markov Model (HMM). We pose the problem
of error correction of reads as one of maximum likelihood sequence detection
over this HMM. While time and memory considerations rule out an implementation
of the optimal Baum-Welch algorithm (for parameter estimation) and the optimal
Viterbi algorithm (for error correction), we propose low-complexity approximate
versions of both. Specifically, we propose an approximate Viterbi and a
sequential decoding based algorithm for the error correction. Our results show
that when compared with Reptile, a state-of-the-art error correction method,
our methods consistently achieve superior performances on both simulated and
real data sets.


title: Nichols algebras over groups with finite root system of rank two II

abstract:
  We classify all non-abelian groups G such that there exists a pair (V,W) of
absolutely simple Yetter-Drinfeld modules over G such that the Nichols algebra
of the direct sum of V and W is finite-dimensional under two assumptions: the
square of the braiding between V and W is not the identity, and G is generated
by the support of V and W. As a corollary, we prove that the dimensions of such
V and W are at most six. As a tool we use the Weyl groupoid of (V,W).


title: Combinatorial rules for three bases of polynomials

abstract:
  We present combinatorial rules (one theorem and two conjectures) concerning
three bases of Z[x1,x2,....]. First, we prove a "splitting" rule for the basis
of key polynomials [Demazure '74], thereby establishing a new positivity
theorem about them. Second, we introduce an extension of [Kohnert '90]'s
"moves" to conjecture the first combinatorial rule for a certain deformation
[Lascoux '01] of the key polynomials. Third, we use the same extension to
conjecture a new rule for the Grothendieck polynomials [Lascoux-Schutzenberger
'82].


title: Informational Divergence Approximations to Product Distributions

abstract:
  The minimum rate needed to accurately approximate a product distribution
based on an unnormalized informational divergence is shown to be a mutual
information. This result subsumes results of Wyner on common information and
Han-Verd\'{u} on resolvability. The result also extends to cases where the
source distribution is unknown but the entropy is known.


title: Comparison between the two definitions of AI

abstract:
  Two different definitions of the Artificial Intelligence concept have been
proposed in papers [1] and [2]. The first definition is informal. It says that
any program that is cleverer than a human being, is acknowledged as Artificial
Intelligence. The second definition is formal because it avoids reference to
the concept of human being. The readers of papers [1] and [2] might be left
with the impression that both definitions are equivalent and the definition in
[2] is simply a formal version of that in [1]. This paper will compare both
definitions of Artificial Intelligence and, hopefully, will bring a better
understanding of the concept.


title: Generalized symplectic symmetric spaces

abstract:
  Bielavsky introduced and investigated the class of symmetric symplectic
spaces, that is, symmetric spaces endowed with a symplectic form invariant with
respect to symmetries. Since the theory of symmetric spaces has
generalizations, we ask a question about their possible symplectic versions. We
do construct such generalizations and extend some of Bieliavsky's results. In
particular, we classify all 3-symmetric symplectic spaces.


title:
Discovery of a giant radio halo in a new Planck galaxy cluster
  PLCKG171.9-40.7

abstract:
  We report the discovery of a giant radio halo in a new, hot, X-ray luminous
galaxy cluster recently found by Planck, PLCKG171.9-40.7. The radio halo was
found using Giant Metrewave Radio Telescope observations at 235 MHz and 610
MHz, and in the 1.4 GHz data from a NRAO Very Large Array Sky Survey pointing
that we have reanalyzed. The diffuse radio emission is coincident with the
cluster X-ray emission, has an extent of ~1 Mpc and a radio power of ~5x 10^24
W/Hz at 1.4 GHz. Its integrated radio spectrum has a slope of alpha~1.8 between
235 MHz and 1.4 GHz, steeper than that of a typical giant halo. The analysis of
the archival XMM-Newton X-ray data shows that the cluster is hot (~10 keV) and
disturbed, consistent with X-ray selected clusters hosting radio halos. This is
the first giant radio halo discovered in one of the new clusters found by
Planck.


title: Some new classes of topological spaces and annihilator ideals

abstract:
  By a characterization of semiprime $SA$-rings by Birkenmeier, Ghirati and
Taherifar in \cite[Theorem 4.4]{B}, and by the topological characterization of
$C(X)$ as a Baer-ring by Stone and Nakano in \cite[Theorem 3.25]{KM}, it is
easy to see that $C(X)$ is an $SA$-ring (resp., $IN$-ring) \ifif $X$ is an
extremally disconnected space. This result motivates the following questions:
Question $(1)$: What is $X$ if for any two ideals $I$ and $J$ of $C(X)$ which
are generated by two subsets of idempotents, $Ann(I)+Ann(J)=Ann(I\cap J)?$
Question $(2)$: When does for any ideal $I$ of $C(X)$ exists a subset $S$ of
idempotents such that $Ann(I)=Ann(S)$? Along the line of answering these
questions we introduce two classes of topological spaces. We call $X$ an
$\textit{EF}$ (resp., $\textit{EZ}$)-$\textit{space}$ if disjoint unions of
clopen sets are completely separated (resp., every regular closed subset is the
closure of a union of clopen subsets). Topological properties of $\textit{EF}$
(resp., $\textit{EZ}$)-$\textit{spaces}$ are investigated. As a consequence, a
completely regular Hausdorff space $X$ is an $F_{\alpha}$-space in the sense of
Comfort and Negrepontis for each infinite cardinal $\alpha$ \ifif $X$ is an
$EF$ and $EZ$-space. Among other things, for a reduced ring $R$ (resp.,
$J(R)=0$) we show that $Spec(R)$ (resp., $Max(R)$) is an $EZ$-space \ifif for
every ideal $I$ of $R$ there exists a subset $S$ of idempotents of $R$ such
that $Ann(I)=Ann(S)$.


title:
Testing f(R)-theories using the first time derivative of the orbital
  period of the binary pulsars

abstract:
  In this paper we use one of the Post-Keplerian parameters to obtain
constraints on f(R)-theories of gravity. Using Minkowskian limit, we compute
the prediction of f(R)-theories on the first time derivative of the orbital
period of a sample of binary stars, and we use our theoretical results to
perform a comparison with the observed one. Selecting a sample of relativistic
binary systems we estimate the parameters of an analytic f(R)-gravity. We find
that the theory is not ruled out if we consider only the double neutron star
systems, and in this case we can cover the existing gap between the General
Relativity prediction and the observed data.


title: Balanced truncation for linear switched systems

abstract:
  In this paper, we present a theoretical analysis of the model reduction
algorithm for linear switched systems. This algorithm is a reminiscence of the
balanced truncation method for linear parameter varying systems. Specifically
in this paper, we provide a bound on the approximation error in L2 norm for
continuous-time and l2 norm for discrete-time linear switched systems. We
provide a system theoretic interpretation of grammians and their singular
values. Furthermore, we show that the performance of bal- anced truncation
depends only on the input-output map and not on the choice of the state-space
representation. For a class of stable discrete-time linear switched systems (so
called strongly stable systems), we define nice controllability and nice
observability grammians, which are genuinely related to reachability and
controllability of switched systems. In addition, we show that quadratic
stability and LMI estimates of the L2 and l2 gains depend only on the
input-output map.


title: Vortex mechanics in planar nano-magnets

abstract:
  A collective-variable approach for the study of non-linear dynamics of
magnetic textures in planar nano-magnets is proposed. The variables are just
arbitrary parameters (complex or real) in the specified analytical function of
a complex variable, describing the texture in motion. Starting with such a
function, a formal procedure is outlined, allowing a (non-linear) system of
differential equations of motion to be obtained for the variables. The
resulting equations are equivalent to Landau-Lifshitz-Gilbert dynamics as far
as the definition of collective variables allows it. Apart from the
collective-variable specification, the procedure does not involve any
additional assumptions (such as translational invariance or steady-state
motion). As an example, the equations of weakly non-linear motion of a magnetic
vortex are derived and solved analytically. A simple formula for the dependence
of the vortex precession frequency on its amplitude is derived. The results are
verified against special cases from the literature and agree quantitatively
with experiments and simulations.


title:
Galilean invariance and the consistency relation for the nonlinear
  squeezed bispectrum of large scale structure

abstract:
  We discuss the constraints imposed on the nonlinear evolution of the Large
Scale Structure (LSS) of the universe by galilean invariance, the symmetry
relevant on subhorizon scales. Using Ward identities associated to the
invariance, we derive fully nonlinear consistency relations between statistical
correlators of the density and velocity perturbations, such as the power
spectrum and the bispectrum. These relations are valid up to O (f_{NL}^2)
corrections. We then show that most of the semi-analytic methods proposed so
far to resum the perturbative expansion of the LSS dynamics fail to fulfill the
constraints imposed by galilean invariance, and are therefore susceptible to
non-physical infrared effects. Finally, we identify and discuss a
nonperturbative semi-analytical scheme which is manifestly galilean invariant
at any order of its expansion.


title: Weak Factorization Systems for S-acts

abstract:
  The concept of a weak factorization system has been studied extensively in
homotopy theory and has recently found an application in one of the proofs of
the celebrated flat cover conjecture, categorical versions of which have been
presented by a number of authors including Rosicky [15]. One of the main aims
of this paper is to draw attention to this interesting concept and to initiate
a study of these systems in relation to flatness of $S-$acts and related
concepts.


title:
A local limit theorem in stationary random environment of conductances
  on Z

abstract:
  We prove a local limit theorem for nearest neighbours random walks in
stationary random environment of conductances on Z without using any of both
classic assumptions of uniform ellipticity and independence on the
conductances. Besides the central limit theorem, we use discrete differential
"Nash-type inequalities" associated with the Hausdorff's representation of the
completely decreasing sequences.


title: Plug-and-Play Decentralized Model Predictive Control

abstract:
  In this paper we consider a linear system structured into physically coupled
subsystems and propose a decentralized control scheme capable to guarantee
asymptotic stability and satisfaction of constraints on system inputs and
states. The design procedure is totally decentralized, since the synthesis of a
local controller uses only information on a subsystem and its neighbors, i.e.
subsystems coupled to it. We first derive tests for checking if a subsystem can
be plugged into (or unplugged from) an existing plant without spoiling overall
stability and constraint satisfaction. When this is possible, we show how to
automatize the design of local controllers so that it can be carried out in
parallel by smart actuators equipped with computational resources and capable
to exchange information with neighboring subsystems. In particular, local
controllers exploit tube-based Model Predictive Control (MPC) in order to
guarantee robustness with respect to physical coupling among subsystems.
Finally, an application of the proposed control design procedure to frequency
control in power networks is presented.


title: Semileptonic Charm Decays: mini review

abstract:
  One important task in the field of flavor physics is to over-constrain the
CKM matrix. To best extract CKM matrix elements, we need inputs from both
experimental data and theoretical calculations. Latest knowledge about the CKM
matrix shows our understanding about sin$2\beta$ is the best thanks to clean
theory and large statistics from experiments. In contrast, our understanding of
both mixing and $|V_{ub}|$ have limitations from theoretical predictions. In
order to extract the value of $|V_{ub}|$ from the branching fraction
measurement, we need information on the hadronic form factor $f_+(q^2)$. Our
best understanding about $f_+(q^2)$ is from lattice QCD calculations. To
validate improved lattice QCD calculations for the form factor in semi-leptonic
B decays, we can use semi-leptonic $D$ decays as a test and calibration. Since
the CKM matrix elements $|V_{cs(d)}|$ can be obtained precisely from unitarity,
we have a reliable method to check the lattice QCD calculations. The
experimental results of $D$ semi-leptonic decays can be summarized in two main
categories: the exclusive decays and the inclusive decays. Latest measurements
from the exclusive semi-leptonic $D$ decays are discussed here.


title:
An Analytical Link Loss Model for On-Body Propagation Around the Body
  Based on Elliptical Approximation of the Torso with Arms' Influence Included

abstract:
  An analytical model for estimating the link loss for the on-body wave
propagation around the torso is presented. The model is based on the
attenuation of the creeping waves over an elliptical approximation of the human
torso and includes the influence of the arms. The importance of including the
arms' effect for a proper estimation of the link loss is discussed. The model
is validated by the full-wave electromagnetic simulations on a numerical
phantom.


title: Direct observation of sub-binomial light

abstract:
  Nonclassical states of light are necessary resources for quantum technologies
such as cryptography, computation and the definition of metrological standards.
Observing signatures of nonclassicality generally requires inferring either the
photon number distribution or a quasi-probability distribution indirectly from
a set of measurements. Here, we report an experiment in which the nonclassical
character of families of quantum states is assessed by direct inspection of the
outcomes from a multiplexed photon counter. This scheme does not register the
actual photon number distribution; the statistics of the detector clicks alone
serve as a witness of nonclassicality, as proposed by Sperling et al. in Phys.
Rev. Lett. 109, 093601 (2012). Our work paves a way for the practical
characterisation of increasingly sophisticated states and detectors.


title:
Multi-Particle Spectral Properties in the Transverse Field Ising Model
  by Continuous Unitary Transformations

abstract:
  The one-dimensional transverse field Ising model is solved by continuous
unitary transformations in the high-field limit. A high accuracy is reached due
to the closure of the relevant algebra of operators which we call string
operators. The closure is related to the possibility to map the model by
Jordan-Wigner transformation to non-interacting fermions. But it is proven
without referring to this mapping. The effective model derived by the
continuous unitary transformations is used to compute the contributions of one,
two, and three elementary excitations to the diagonal dynamic structure
factors. The three-particle contributions have so far not been addressed
analytically, except close to the quantum critical point.


title: Ultra-compact X-ray binaries in the Galactic Bulge

abstract:
  We model the present-day number and characteristics of Ultra-compact X-ray
binaries (UCXBs) in the Galactic Bulge. The main objective is to compare the
results with the forthcoming data from the Galactic Bulge Survey (GBS) in order
to learn about formation scenarios, notably core collapse supernova rate,
common envelope evolution and dynamical interactions, as well as the binary
initial mass function. We use a binary population synthesis code and detailed
stellar evolutionary tracks, combined with observations of the 11 known UCXBs.
We predict a few hundred faint UCXBs with periods of 20-40 minutes that would
be detectable by the GBS.


title:
Nonequilibrium mesoscopic Fermi reservoirs distributions and particle
  current through a coherent quantum system

abstract:
  We study particle current and occupation distribution in a recently proposed
model for coherent quantum transport. In this model a system connected to
mesoscopic Fermi reservoirs (mesoreservoir) is driven out of equilibrium by the
action of superreservoirs with prescribed temperatures and chemical potentials
described by a simple dissipative mechanism with the Lindblad equation. We
compare exact (numerical) results for the non-equilibrium steady state particle
current with theoretical expectations based on the Landauer formula and show
that the model reproduce the behavior of coherent quantum systems in the
expected parameter region. We also obtain the occupation distribution on the
mesoreservoir in the non-equilibrium steady state and compare them with the
occupation distribution on the leads in usual description of coherent quantum
transport.


title:
Regularity of $p(\cdot)$-superharmonic functions, the Kellogg property
  and semiregular boundary points

abstract:
  We study various boundary and inner regularity questions for
$p(\cdot)$-(super)harmonic functions in Euclidean domains. In particular, we
prove the Kellogg property and introduce a classification of boundary points
for $p(\cdot)$-harmonic functions into three disjoint classes: regular,
semiregular and strongly irregular points. Regular and especially semiregular
points are characterized in many ways. The discussion is illustrated by
examples. Along the way, we present a removability result for bounded
$p(\cdot)$-harmonic functions and give some new characterizations of $W^{1,
p(\cdot)}_0$ spaces. We also show that $p(\cdot)$-superharmonic functions are
lower semicontinuously regularized, and characterize them in terms of lower
semicontinuously regularized supersolutions.


title: Routing for Energy Minimization with Discrete Cost Functions

abstract:
  Energy saving is becoming an important issue in the design and use of
computer networks. In this work we propose a problem that considers the use of
rate adaptation as the energy saving strategy in networks. The problem is
modeled as an integral demand-routing problem in a network with discrete cost
functions at the links. The discreteness of the cost function comes from the
different states (bandwidths) at which links can operate and, in particular,
from the energy consumed at each state. This in its turn leads to the
non-convexity of the cost function, and thus adds complexity to solve this
problem. We formulate this routing problem as an integer program, and we show
that the general case of this problem is NP-hard, and even hard to approximate.
For the special case when the step ratio of the cost function is bounded, we
show that effective approximations can be obtained. Our main algorithm executes
two processes in sequence: relaxation and rounding. The relaxation process
eliminates the non-convexity of the cost function, so that the problem is
transformed into a fractional convex program solvable in polynomial time. After
that, a randomized rounding process is used to get a feasible solution for the
original problem. This algorithm provides a constant approximation ratio for
uniform demands and an approximation ratio of $O(\log^{\beta-1} d)$ for
non-uniform demands, where $\beta$ is a constant and $d$ is the largest demand.


title: Prompt thermal emission in gamma-ray bursts

abstract:
  GRB spectra appear non-thermal, but recent observations of a few bursts with
Fermi GBM have confirmed previous indications from BATSE of the presence of an
underlying thermal component. Photospheric emission is indeed expected when the
relativistic outflow emerging from the central engine becomes transparent to
its own radiation, with a quasi-blackbody spectrum in absence of additional
sub-photospheric dissipation. However, its intensity strongly depends on the
acceleration mechanism - thermal or magnetic - of the flow. We aim to compute
the thermal and non-thermal emissions produced by an outflow with a variable
Lorentz factor, where the power injected at the origin is partially thermal
(fraction epsilon_th) and partially magnetic (fraction 1-epsilon_th). The
thermal emission is produced at the photosphere, and the non-thermal emission
in the optically thin regime. Apart from the value of epsilon_th, we want to
test how the other model parameters affect the observed ratio of the thermal to
non-thermal emission. If the non-thermal emission is made by internal shocks,
we self-consistently obtained the light curves and spectra of the thermal and
non-thermal components for any distribution of the Lorentz factor in the flow.
If the non-thermal emission results from magnetic reconnection we were unable
to produce a light curve and could only compare the respective non-thermal and
thermal spectra. In the different considered cases, we varied the model
parameters to see when the thermal component in the light curve and/or spectrum
is likely to show up or, on the contrary, to be hidden. We finally compared our
results to the proposed evidence for the presence of a thermal component in GRB
spectra. Focussing on GRB 090902B and GRB 10072B, we showed how these
observations can be used to constrain the nature and acceleration mechanism of
GRB outflows.


title: The Phase-Space Structure of Cold Dark Matter in the Universe

abstract:
  A novel method allowing to compute density, velocity and other fields in
cosmological N--body simulations with unprecedentedly high spatial resolution
is described. It is based on the tessellation of the three-dimensional manifold
representing cold dark matter in six-dimensional phase space. The density,
velocity and other fields are computed by projecting the tessellation on
configuration space. The application of this technique to cosmological N--body
simulations in LambdaCDM cosmology reveals a far more elaborate cosmic web then
dot plots or self--adaptive SPH. In addition, this method allows to uniquely
define physical voids and identify and study the caustic surfaces directly.


title: Formality of derived intersections

abstract:
  We study derived intersections of smooth analytic cycles, and provide in some
cases necessary and sufficient conditions for this intersection be formal. In
particular, if X is a complex submanifold of a complex manifold Y, we prove
that X can be quantized if and only if the derived intersection of XxX and
\Delta_Y is formal in D(XxX).


title: Identities for Anderson generating functions for Drinfeld modules

abstract:
  Anderson generating functions are generating series for division values of
points on Drinfeld modules, and they serve as important tools for capturing
periods, quasi-periods, and logarithms. They have been fundamental in recent
work on special values of positive characteristic L-series and in transcendence
and algebraic independence problems. In the present paper we investigate
techniques for expressing Anderson generating functions in terms of the
defining polynomial of the Drinfeld module and determine new formulas for
periods and quasi-periods.


title: Boltzmann-Langevin One-Body dynamics for fermionic systems

abstract:
  A full implementation of the Boltzmann-Langevin equation for fermionic
systems is introduced in a transport model for dissipative collisions among
heavy nuclei. Fluctuations are injected in phase space and not, like in more
conventional approaches, as a projection on suitable subspaces. The advantage
of this model is to be specifically adapted to describe processes characterised
by instabilities, like the formation of fragments from a hot nuclear system,
and by dissipation, like the transparency in nucleus-nucleus collisions.


title: Henry Norris Russell and the Expanding Universe

abstract:
  Henry Norris Russell, one of the most influential American astronomers of the
first half of the 20th Century, had a special place in his heart for the Lowell
Observatory. Although privately critical of the founder for his pronouncements
about life on Mars and the superiority of the Mars Hill observing site, he
always supported the Observatory in public and professional circles. He
staunchly supported Tombaugh's detection of a planet as leading from Lowell's
prediction, and always promoted V. M. Slipher's spectroscopic investigations of
planetary and stellar phenomena. But how did he react to Slipher's puzzling
detection of the extreme radial velocities of spiral nebulae starting in 1912,
and how did he regard the extension and interpretation of those observations by
Hubble and others in following decades? Here we describe the arc of Russell's
reactions, dating from Slipher's first detection, as an indicator of how
mainstream stellar astronomers reacted to the concept of an expanding universe.


title:
Bifurcations in Boltzmann-Langevin One Body dynamics for fermionic
  systems

abstract:
  We investigate the occurrence of bifurcations in the dynamical trajectories
depicting central nuclear collisions at Fermi energies. The quantitative
description of the reaction dynamics is obtained within a new transport model,
based on the solution of the Boltzmann-Langevin equation in three dimensions,
with a broad applicability for dissipative fermionic dynamics. Dilute systems
formed in central collisions are shown to fluctuate between two energetically
favourable mechanisms: reverting to a compact shape or rather disintegrating
into several fragments. The latter result can be connected to the recent
observation of bimodal distributions for quantities characterising
fragmentation processes and may suggest new investigations.


title: Benedicks effect in a relativistic simple fluid

abstract:
  According to standard thermophysical theories, cross effects are mostly
present in multicomponent systems. In this paper we show that for relativistic
fluids an electric field generates a heat flux even in the single component
case. In the non-relativistic limit the effect vanishes and Fourier's law is
recovered. This result is novel and may have applications in the transport
properties of very hot plasmas.


title:
Reddening and metallicity maps of the Milky Way bulge from VVV and 2MASS
  III. The first global photometric metallicity map of the Galactic bulge

abstract:
  We investigate the large scale metallicity distribution in the Galactic
bulge, using a large spatial coverage, in order to constrain the bulge
formation scenario. We use the VISTA variables in the Via Lactea (VVV) survey
data and 2MASS photometry, covering 320 sqdeg of the Galactic bulge, to derive
photometric metallicities by interpolating of the (J-Ks)0 colors of individual
Red Giant Branch stars based on a set of globular cluster ridge lines. We then
use this information to construct the first global metallicity map of the bulge
with a resolution of 30'x45'. The metallicity map of the bulge revealed a clear
vertical metallicity gradient of ~0.04 dex/deg (~0.28 dex/kpc), with metal-rich
stars ([Fe/H]~0) dominating the inner bulge in regions closer to the galactic
plane (|b|<5). At larger scale heights, the mean metallicity of the bulge
population becomes significantly more metal-poor. This fits in the scenario of
a boxy-bulge originated from the vertical inestability of the Galactic bar,
formed early via secular evolution of a two component stellar disk. Older,
metal-poor stars dominate at higher scale heights due to the non-mixed orbits
from the originally hotter thick disk stars.


title:
Overview of Beyond-CMOS Devices and A Uniform Methodology for Their
  Benchmarking

abstract:
  Multiple logic devices are presently under study within the Nanoelectronic
Research Initiative (NRI) to carry the development of integrated circuits
beyond the CMOS roadmap. Structure and operational principles of these devices
are described. Theories used for benchmarking these devices are overviewed, and
a general methodology is described for consistent estimates of the circuit
area, switching time and energy. The results of the comparison of the NRI logic
devices using these benchmarks are presented.


title: Resonant state expansion applied to two-dimensional open optical systems

abstract:
  The resonant state expansion (RSE), a rigorous perturbative method in
electrodynamics, is applied to two-dimensional open optical systems. The
analytically solvable homogeneous dielectric cylinder is used as unperturbed
system, and its Green's function is shown to contain a cut in the complex
frequency plane, which is included in the RSE basis. The complex
eigenfrequencies of modes are calculated using the RSE for a selection of
perturbations which mix unperturbed modes of different orbital momentum, such
as half-cylinder, thin-film and thin-wire perturbation, demonstrating the
accuracy and convergency of the method. The resonant states for the thin-wire
perturbation are shown to reproduce an approximative analytical solution.


title:
Warped product Einstein metrics on homogeneous spaces and homogeneous
  Ricci solitons

abstract:
  In this paper we consider connections between Ricci solitons and Einstein
metrics on homogeneous spaces. We show that a semi-algebraic Ricci soliton
admits an Einstein one-dimensional extension if the soliton derivation can be
chosen to be normal. Using our previous work on warped product Einstein
metrics, we show that every normal semi-algebraic Ricci soliton also admits a
$k$-dimensional Einstein extension for any $k\geq 2$. We also prove converse
theorems for these constructions and some geometric and topological structure
results for homogeneous warped product Einstein metrics. In the appendix we
give an alternative approach to semi-algebraic Ricci solitons which naturally
leads to a definition of semi-algebraic Ricci solitons in the non-homogeneous
setting.


title:
Episodic gamma-ray and neutrino emission from the low mass X-ray binary
  GRO J0422+32

abstract:
  GRO J0422+32 is a member of the class of low-mass X-ray binary (LMXB)
sources, discovered during an outburst in 1992. Along the entire episode ($\sim
230$ days) a persistent power-law spectral component extending up to $\sim 1$
MeV was observed. These results suggest that non-thermal processes must be at
work in the system. We apply a corona model to describe the spectrum of GRO
J0422+32 during the flaring phase. We study relativistic particle interactions
solving the transport equations for all type of particles self-consistently. We
fit the electromagnetic emission during the plateau phase of the event and
estimate the emission during an energetic episode, as well as the neutrino
production. Our work leads to predictions that can be tested by the new
generation of very high energy gamma-ray instruments.


title:
Competition between the Pseudogap and Superconducting States of
  Bi$_{2}$Sr$_{2}$Ca$_{0.92}$Y$_{0.08}$Cu$_{2}$O$_{8+\delta}$ Single Crystals
  Revealed by Ultrafast Broadband Optical Reflectivity

abstract:
  Ultrafast broadband transient reflectivity experiments are performed to study
the interplay between the non-equilibrium dynamics of the pseudogap and the
superconducting phases in
Bi$_{2}$Sr$_{2}$Ca$_{0.92}$Y$_{0.08}$Cu$_{2}$O$_{8+\delta}$. Once
superconductivity is established the relaxation of the pseudogap proceeds
$\sim$ 2 times faster than in the normal state, and the corresponding transient
reflectivity variation changes sign after $\sim$ 0.5 ps. The results can be
described by a set of coupled differential equations for the pseudogap and for
the superconducting order parameter. The sign and strength of the coupling term
suggest a remarkably weak competition between the two phases, allowing their
coexistence.


title: Bayesian Quadratic Network Game Filters

abstract:
  A repeated network game where agents have quadratic utilities that depend on
information externalities -- an unknown underlying state -- as well as payoff
externalities -- the actions of all other agents in the network -- is
considered. Agents play Bayesian Nash Equilibrium strategies with respect to
their beliefs on the state of the world and the actions of all other nodes in
the network. These beliefs are refined over subsequent stages based on the
observed actions of neighboring peers. This paper introduces the Quadratic
Network Game (QNG) filter that agents can run locally to update their beliefs,
select corresponding optimal actions, and eventually learn a sufficient
statistic of the network's state. The QNG filter is demonstrated on a Cournot
market competition game and a coordination game to implement navigation of an
autonomous team.


title: Elections, Protest, and Alternation of Power

abstract:
  Despite many examples to the contrary, most models of elections assume that
rules determining the winner will be followed. We present a model where
elections are solely a public signal of the incumbent popularity, and citizens
can protests against leaders that do not step down from power. In this minimal
setup, rule-based alternation of power as well as "semi-democratic" alternation
of power independent of electoral rules can both arise in equilibrium.
Compliance with electoral rules requires there to be multiple equilibria in the
protest game, where the electoral rule serves as a focal point spurring protest
against losers that do not step down voluntarily. Such multiplicity is possible
when elections are informative and citizens not too polarized. Extensions to
the model are consistent with the facts that protests often center around
accusations of electoral fraud and that in the democratic case turnover is
peaceful while semi-democratic turnover often requires citizens to actually
take to the streets.


title: First detection of c-C3H2 in a circumstellar disk

abstract:
  We report the first detection of c-C3H2 in a circumstellar disk. The c-C3H2
J=6-5 line (217.882 GHz) is detected and imaged through Atacama Large
Millimeter Array (ALMA) Science Verification observations toward the disk
around the Herbig Ae star HD 163296 at 0.8" resolution. The emission is
consistent with that arising from a Keplerian rotating disk. Two additional
c-C3H2 transitions are also tentatively detected, bolstering the identification
of this species, but with insufficient signal-to-noise ratio to constrain the
spatial distribution. Using a previously developed model for the physical
structure of this disk, we fit a radial power-law distribution model to the
c-C3H2 6-5 emission and find that c-C3H2 is present in a ring structure from an
inner radius of about 30 AU to an outer radius of about 165 AU. The column
density is estimated to be 1e12-1e13 cm-2. The clear detection and intriguing
ring structure suggest that c-C3H2 has the potential to become a useful probe
of radiation penetration in disks.


title: Tropical eigenwave and intermediate Jacobians

abstract:
  Tropical manifolds are polyhedral complexes enhanced with certain kind of
affine structure. This structure manifests itself through a particular
cohomology class which we call the eigenwave of a tropical manifold. Other wave
classes of similar type are responsible for deformations of the tropical
structure.
  If a tropical manifold is approximable by a 1-parametric family of complex
manifolds then the eigenwave records the monodromy of the family around the
tropical limit. With the help of tropical homology and the eigenwave we define
tropical intermediate Jacobians which can be viewed as tropical analogs of
classical intermediate Jacobians.


title:
Analytical aspects of the Brownian motor effect in randomly flashing
  ratchets

abstract:
  The muscle contraction, operation of ATP synthase, maintaining the shape of a
cell are believed to be secured by motor proteins, which can be modelled using
the Brownian ratchet mechanism. We consider the randomly flashing ratchet model
of a Brownian motor, where the particles can be in two states, only one of
which is sensitive the applied spatially periodic potential (the mathematical
setting is a pair of weakly coupled reaction-diffusion and Fokker-Planck
equations). We prove that this mechanism indeed generates unidirectional
transport by showing that the amount of mass in the wells of the potential
decreases/increases from left to right. The direction of transport is
unambiguously determined by the location of each minimum of the potential with
respect to the so-called diffusive mean of its adjacent maxima. The transport
can be generated not only by an asymmetric potential, but also by a symmetric
potential and asymmetric transition rates, and as a consequence of the general
result we derive explicit conditions when the latter happens. When the
transitions are localized on narrow active sites in the protein conformation
space, we find a more explicit characterization of the bulk transport
direction, and infer that some common preconditions of the motor effect are
redundant.


title:
The pre-inflationary dynamics of loop quantum cosmology: Confronting
  quantum gravity with observations

abstract:
  Using techniques from loop quantum gravity, the standard theory of
cosmological perturbations was recently generalized to encompass the Planck
era. We now apply this framework to explore pre-inflationary dynamics. The
framework enables us to isolate and resolve the true trans-Planckian
difficulties, with interesting lessons both for theory and observations.
Specifically, for a large class of initial conditions at the bounce, we are led
to a self consistent extension of the inflationary paradigm over the 11 orders
of magnitude in density and curvature, from the big bounce to the onset of slow
roll. In addition, for a narrow window of initial conditions, there are
departures from the standard paradigm, with novel effects ---such as a
modification of the consistency relation between the ratio of the tensor to
scalar power spectrum and the tensor spectral index, as well as a new source
for non-Gaussianities--- which could extend the reach of cosmological
observations to the deep Planck regime of the early universe.


title:
An Exact Relationship Between Invasion Probability and Endemic
  Prevalence for Markovian SIS Dynamics on Networks

abstract:
  Understanding models which represent the invasion of network-based systems by
infectious agents can give important insights into many real-world situations,
including the prevention and control of infectious diseases and computer
viruses. Here we consider Markovian susceptible-infectious-susceptible (SIS)
dynamics on finite strongly connected networks, applicable to several sexually
transmitted diseases and computer viruses. In this context, a theoretical
definition of endemic prevalence is easily obtained via the quasi-stationary
distribution (QSD). By representing the model as a percolation process and
utilising the property of duality, we also provide a theoretical definition of
invasion probability. We then show that, for undirected networks, the
probability of invasion from any given individual is equal to the
(probabilistic) endemic prevalence, following successful invasion, at the
individual (we also provide a relationship for the directed case). The total
(fractional) endemic prevalence in the population is thus equal to the average
invasion probability (across all individuals). Consequently, for such systems,
the regions or individuals already supporting a high level of infection are
likely to be the source of a successful invasion by another infectious agent.
This could be used to inform targeted interventions when there is a threat from
an emerging infectious disease.


title:
Regression shrinkage and grouping of highly correlated predictors with
  HORSES

abstract:
  Identifying homogeneous subgroups of variables can be challenging in high
dimensional data analysis with highly correlated predictors. We propose a new
method called Hexagonal Operator for Regression with Shrinkage and Equality
Selection, HORSES for short, that simultaneously selects positively correlated
variables and identifies them as predictive clusters. This is achieved via a
constrained least-squares problem with regularization that consists of a linear
combination of an L_1 penalty for the coefficients and another L_1 penalty for
pairwise differences of the coefficients. This specification of the penalty
function encourages grouping of positively correlated predictors combined with
a sparsity solution. We construct an efficient algorithm to implement the
HORSES procedure. We show via simulation that the proposed method outperforms
other variable selection methods in terms of prediction error and parsimony.
The technique is demonstrated on two data sets, a small data set from analysis
of soil in Appalachia, and a high dimensional data set from a near infrared
(NIR) spectroscopy study, showing the flexibility of the methodology.


title: Gravitational Lensing of Neutrino from Collapsars

abstract:
  We study neutrino emission from long gamma-ray bursts. The collapse of very
massive stars to black holes, and the consequent jet formation, are expected to
produce high-energy neutrinos through photomeson production. Such neutrinos can
escape from the source and travel up to the Earth. We focus on the case of
Population III progenitors for gamma-ray bursts. Neutrinos can be the only
source of information of the first stars formed in the universe. The expected
signal is rather weak, but we propose that gravitational lensing by nearby
supermassive black holes might enhance the neutrino emission in some cases. We
implement a Monte Carlo analysis to ponder the statistical significance of this
scenario. We suggest that an observational strategy based on gravitational
lensing could lead to the detection of neutrinos from the re-ionization era of
the universe with current instrumentation.


title: Localised Oscillatory States in Magnetoconvection

abstract:
  Localised states are found in many pattern forming systems. The aim of this
paper is to investigate the occurrence of oscillatory localised states in
two-dimensional Boussinesq magnetoconvection. Initially considering an
idealised model, in which the vertical structure of the system has been
simplified by a projection onto a small number of Fourier modes, we find that
these states are restricted to the low $\zeta$ regime (where $\zeta$ represents
the ratio of the magnetic to thermal diffusivities). These states always
exhibit bistability with another non-trivial solution branch, in other words
they show no evidence of subcritical behaviour. This is due to the weak flux
expulsion that is exhibited by these time-dependent solutions. Using the
results of this parameter survey, we locate corresponding states in a
fully-resolved two-dimensional system, although the mode of oscillation is more
complex in this case. This is the first time that a localised oscillatory
state, of this kind, has been found in a fully-resolved magnetoconvection
simulation.


title:
Role of the granular nature of meteoritic projectiles in impact crater
  morphogenesis

abstract:
  By means of novel volume-diameter aspect ratio diagrams, we ponder on the
current conception of crater morphogenesis analyzing crater data from beam
explosions, hypervelocity collisions and drop experiments and comparing them
with crater data from three moons (the Moon, Callisto, and Ganymede) and from
our own experimental results. The distinctive volume-diameter scaling laws we
discovered make us to conclude that simple and complex craters in satellites
and planets could have been formed by granular vs. granular collisions and that
central peaks and domes in complex craters were formed by a dynamic confinement
of part of the impacting projectile, rather than by the uplift of the target
terrain. A granulometric analysis of asteroids and central peaks and domes
inside complex craters, shows boulder size distributions consistent with our
hypothesis that crater internal features are the remnants of granular
impactors.


title: TASI Lectures on Jet Substructure

abstract:
  Jet physics is a rich and rapidly evolving field, with many applications to
physics in and beyond the Standard Model. These notes, based on lectures
delivered at the June 2012 Theoretical Advanced Study Institute, provide an
introduction to jets at the Large Hadron Collider. Topics covered include
sequential jet algorithms, jet shapes, jet grooming, and boosted Higgs and top
tagging.


title: The Group Square-Root Lasso: Theoretical Properties and Fast Algorithms

abstract:
  We introduce and study the Group Square-Root Lasso (GSRL) method for
estimation in high dimensional sparse regression models with group structure.
The new estimator minimizes the square root of the residual sum of squares plus
a penalty term proportional to the sum of the Euclidean norms of groups of the
regression parameter vector. The net advantage of the method over the existing
Group Lasso (GL)-type procedures consists in the form of the proportionality
factor used in the penalty term, which for GSRL is independent of the variance
of the error terms. This is of crucial importance in models with more
parameters than the sample size, when estimating the variance of the noise
becomes as difficult as the original problem. We show that the GSRL estimator
adapts to the unknown sparsity of the regression vector, and has the same
optimal estimation and prediction accuracy as the GL estimators, under the same
minimal conditions on the model. This extends the results recently established
for the Square-Root Lasso, for sparse regression without group structure.
Moreover, as a new type of result for Square-Root Lasso methods, with or
without groups, we study correct pattern recovery, and show that it can be
achieved under conditions similar to those needed by the Lasso or
Group-Lasso-type methods, but with a simplified tuning strategy. We implement
our method via a new algorithm, with proved convergence properties, which,
unlike existing methods, scales well with the dimension of the problem. Our
simulation studies support strongly our theoretical findings.


title: Neyman's C(\alpha) Test for Unobserved Heterogeneity

abstract:
  A unified framework is proposed for tests of unobserved heterogeneity in
parametric statistic models based on Neyman's $C(\alpha)$ approach. Such tests
are irregular in the sense that the first order derivative of the log
likelihood with respect to the heterogeneity parameter is identically zero, and
consequently the conventional Fisher information about the parameter is zero.
Nevertheless, local asymptotic optimality of the $C(\alpha)$ tests can be
established via LeCam's differentiability in quadratic mean and the limit
experiment approach. This leads to local alternatives of order $n^{-1/4}$. The
scalar case result is already familiar from existing literature and we extend
it to the multi-dimensional case. The new framework reveals that certain
regularity conditions commonly employed in earlier developments are
unnecessary, i.e. the symmetry or third moment condition imposed on the
heterogeneity distribution. Additionally, the limit experiment for the
multi-dimensional case suggests modifications on existing tests for slope
heterogeneity in cross sectional and panel data models that lead to power
improvement. Since the $C(\alpha)$ framework is not restricted to the
parametric model and the test statistics do not depend on the particular choice
of the heterogeneity distribution, it is useful for a broad range of
applications for testing parametric heterogeneity.


title: Superfluorescent emission in electrically pumped semiconductor laser

abstract:
  We report superfluorescent (SF) emission in electrically pumped InGaN/InGaN
QW lasers with saturable absorber. In particular, we observe a superlinear
growth of the peak power of SF pulses with increasing amplitude of injected
current pulses and attribute it to cooperative pairing of electron-hole (e-h)
radiative recombinations. The phase transitions from amplified spontaneous
emission to superfluorescence and then to lasing regime is confirmed by
observing (i) abrupt peak power growth accompanied by spectral broadening, (ii)
spectral shape with hyperbolic secant envelope and (iii) red shift of central
wavelength of SF emission pulse. The observed red shift of SF emission is shown
to be caused by the pairing of e-h pairs in an indirect cooperative
X-transition.


title: A Bound on the Throughput of Radio Networks

abstract:
  We consider the well-studied radio network model: a synchronous model with a
graph G=(V,E) with |V|=n where in each round, each node either transmits a
packet, with length B=Omega(log n) bits, or listens. Each node receives a
packet iff it is listening and exactly one of its neighbors is transmitting. We
consider the problem of k-message broadcast, where k messages, each with
Theta(B) bits, are placed in an arbitrary nodes of the graph and the goal is to
deliver all messages to all the nodes. We present a simple proof showing that
there exist a radio network with radius 2 where for any k, broadcasting k
messages requires at least Omega(k log n) rounds. That is, in this network,
regardless of the algorithm, the maximum achievable broadcast throughput is
O(1/log n).


title: Compound Polar Codes

abstract:
  A capacity-achieving scheme based on polar codes is proposed for reliable
communication over multi-channels which can be directly applied to
bit-interleaved coded modulation schemes. We start by reviewing the
ground-breaking work of polar codes and then discuss our proposed scheme.
Instead of encoding separately across the individual underlying channels, which
requires multiple encoders and decoders, we take advantage of the recursive
structure of polar codes to construct a unified scheme with a single encoder
and decoder that can be used over the multi-channels. We prove that the scheme
achieves the capacity over this multi-channel. Numerical analysis and
simulation results for BICM channels at finite block lengths shows a
considerable improvement in the probability of error comparing to a
conventional separated scheme.


title: Riesz potentials and nonlinear parabolic equations

abstract:
  The spatial gradient of solutions to nonlinear degenerate parabolic equations
can be pointwise estimated by the caloric Riesz potential of the right hand
side datum, exactly as in the case of the heat equation. Heat kernels type
estimates persist in the nonlinear case


title: Polar vs. apolar alignment in systems of polar self-propelled particles

abstract:
  The symmetry of the alignment mechanism in systems of polar self-propelled
particles determines the possible macroscopic large-scale patterns that can
emerge. Here we compare polar and apolar alignment. These systems share some
common features like giant number fluctuations in the ordered phase and
self-segregation in the form of bands near the onset of orientational order.
Despite these similarities, there are essential differences like the symmetry
of the ordered phase and the stability of the bands.


title: Amplification of realistic cat-like states by homodyne heralding

abstract:
  We present a scheme for the amplification of Schrodinger cats that collapses
two smaller states onto their constructive interference via a homodyne
projection. We analyze the performance of the amplification in terms of
fidelity and success rate when the input consists of either exact coherent
state superpositions or of photon-subtracted squeezed vacua. The impact of
imprecise homodyne detection and of impure squeezing is quantified. We also
assess the scalability of iterated amplifications.


title:
Double Occupancy and Magnetic Susceptibility of the Anderson Impurity
  Model out of Equilibrium

abstract:
  We use different numerical approaches to calculate the double occupancy and
mag- netic susceptibility as a function of a bias voltage in an Anderson
impurity model. Specifically, we compare results from the Matsubara-voltage
quantum Monte-Carlo approach (MV-QMC), the scattering-states numerical
renormalization group (SNRG), and real-time quantum Monte-Carlo (RT-QMC),
covering Coulomb repulsions ranging from the weak-coupling well into the
strong- coupling regime. We observe a distinctly different behavior of the
double occupancy and the magnetic response. The former measures charge
fluctuations and thus only indirectly exhibits the Kondo scale, while the
latter exhibits structures on the scale of the equilibrium Kondo tempera- ture.
The Matsubara-voltage approach and the scattering-states numerical
renormalization group yield consistent values for the magnetic susceptibility
in the Kondo limit. On the other hand, all three numerical methods produce
different results for the behavior of charge fluctuations in strongly
interacting dots out of equilibrium.


title: Searches for New Vector Like Quarks: Higgs Channels

abstract:
  New vector-like quarks can mix sizably with first generation Standard Model
quarks without conflicting with current experimental constraints. Searches for
such new quarks have been performed in pair production and electroweak single
production channels with subsequent decays into electroweak gauge bosons. To
fully explore the underlying structure of the theory the channels with heavy
quark decays into Higgs bosons are crucial and in this article we consider for
the first time the LHC reach for such channels. The two main production
mechanisms involve single production of new quarks through the fusion of a
vector boson and the Higgs and single production in association with a Higgs
boson. We show that both channels have promising reach at the LHC and that they
complement the current direct searches involving decays into electroweak gauge
bosons.


title: Impartial games whose rulesets produce given continued fractions

abstract:
  We study 2-player impartial games of the form take-away which produce
P-positions (second player winning positions) corresponding to complementary
Beatty sequences, given by the continued fractions (1;k,1,k,1,...) and
(k+1;k,1,k,1,...). Our problem is the opposite of the main field of research in
this area, which is to, given a game, understand its set of P-positions. We are
rather given a set of (candidate) P-positions and look for "simple" rules. Our
rules satisfy two criteria, they are given by a closed formula and they are
invariant, that is, the available moves do not depend on the position played
from (for all options with non-negative coordinates).


title:
A Study of Influential Factors in the Adoption and Diffusion of B2C
  E-Commerce

abstract:
  This paper looks at the present standing of ecommerce in Saudi Arabia, as
well as the challenges and strengths of Business to Customers (B2C) electronic
commerce. Many studies have been conducted around the world in order to gain a
better understanding of the demands, needs and effectiveness of online
commerce. A study was undertaken to review the literature identifying the
factors influencing the adoption and diffusion of B2C e-commerce. It found four
distinct categories: businesses, customers, environmental and governmental
support, which must all be considered when creating an e-commerce
infrastructure. A concept matrix was used to provide a comparison of important
factors in different parts of the world. The study found that e-commerce in
Saudi Arabia was lacking in Governmental support as well as relevant
involvement by both customers and retailers.


title:
Stability of magnetic fields in non-barotropic stars: an analytic
  treatment

abstract:
  Magnetic fields in upper main-sequence stars, white dwarfs, and neutron stars
are known to persist for timescales comparable to their lifetimes. From a
theoretical perspective this is problematic, as it can be shown that simple
magnetic field configurations are always unstable. In non-barotropic stars,
stable stratification allows for a much wider range of magnetic field
structures than in barotropic stars, and helps stabilize them by making it
harder to induce radial displacements. Recent simulations by Braithwaite and
collaborators have shown that, in stably stratified stars, random initial
magnetic fields evolve into nearly axisymmetric configurations with both
poloidal and toroidal components, which then remain stable for some time. It is
desirable to provide an analytic study of the stability of such fields. We
write an explicit expression for a plausible equilibrium structure of an
axially symmetric magnetic field with both poloidal and toroidal components of
adjustable strengths, in a non-barotropic static fluid star, and study its
stability using the energy principle. We construct a displacement field that
should be a reasonable approximation to the most unstable mode of a toroidal
field, and confirm Braithwaite's result that a given toroidal field can be
stabilized by a poloidal field containing much less energy than the former.
This is consistent with the speculation that the toroidal field is the main
reservoir powering magnetar activity. The deformation of a neutron star caused
by the hidden toroidal field can also cause emission of gravitational waves.


title: Directedness of information flow in mobile phone communication networks

abstract:
  Without having direct access to the information that is being exchanged,
traces of information flow can be obtained by looking at temporal sequences of
user interactions. These sequences can be represented as causality trees whose
statistics result from a complex interplay between the topology of the
underlying (social) network and the time correlations among the communications.
Here, we study causality trees in mobile-phone data, which can be represented
as a dynamical directed network. This representation of the data reveals the
existence of super-spreaders and super-receivers. We show that the tree
statistics, respectively the information spreading process, are extremely
sensitive to the in-out degree correlation exhibited by the users. We also
learn that a given information, e.g., a rumor, would require users to
retransmit it for more than 30 hours in order to cover a macroscopic fraction
of the system. Our analysis indicates that topological node-node correlations
of the underlying social network, while allowing the existence of information
loops, they also promote information spreading. Temporal correlations, and
therefore causality effects, are only visible as local phenomena and during
short time scales. These results are obtained through a combination of theory
and data analysis techniques.


title:
A strong direct product theorem for the tribes function via the
  smooth-rectangle bound

abstract:
  The main result of this paper is an optimal strong direct product result for
the two-party public-coin randomized communication complexity of the Tribes
function. This is proved by providing an alternate proof of the optimal lower
bound of \Omega(n) for the randomised communication complexity of the Tribes
function using the so-called smooth-rectangle bound, introduced by Jain and
Klauck [JK10]. The optimal \Omega(n) lower bound for Tribes was originally
proved by Jayram, Kumar and Sivakumar [JKS03], using a more powerful lower
bound technique, namely the information complexity bound. The information
complexity bound is known to be at least as strong a lower bound method as the
smooth-rectangle bound [KLL+12]. On the other hand, we are not aware of any
function or relation for which the smooth-rectangle bound is (asymptotically)
smaller than its public-coin randomized communication complexity. The optimal
direct product for Tribes is obtained by combining our smooth-rectangle bound
for tribes with the strong direct product result of Jain and Yao [JY12] in
terms of smooth-rectangle bound.


title:
Non degeneracy of the bubble in the critical case for non local
  equations

abstract:
  We prove the nondegeneracy of the extremals of the fractional Sobolev
inequality as solutions of a critical semilinear nonlocal equation involving
the fractional Laplacian.


title: Meteorology of Jupiter's Equatorial Hot Spots and Plumes from Cassini

abstract:
  We present an updated analysis of Jupiter's equatorial meteorology from
Cassini observations. For two months preceding the spacecraft's closest
approach, the Imaging Science Subsystem (ISS) onboard regularly imaged the
atmosphere. We created time-lapse movies from this period in order to analyze
the dynamics of equatorial hot spots and their interactions with adjacent
latitudes. Hot spots are quasi-stable, rectangular dark areas on
visible-wavelength images, with defined eastern edges that sharply contrast
with surrounding clouds, but diffuse western edges serving as nebulous
boundaries with adjacent equatorial plumes. Hot spots exhibit significant
variations in size and shape over timescales of days and weeks. Some of these
changes correspond with passing vortex systems from adjacent latitudes
interacting with hot spots. Strong anticyclonic gyres present to the south and
southeast of the dark areas appear to circulate into hot spots. Impressive,
bright white plumes occupy spaces in between hot spots. Compact cirrus-like
'scooter' clouds flow rapidly through the plumes before disappearing within the
dark areas. These clouds travel at 150-200 m/s, much faster than the 100 m/s
hot spot and plume drift speed. This raises the possibility that the scooter
clouds may be more illustrative of the actual jet stream speed at these
latitudes. Most previously published zonal wind profiles represent the drift
speed of the hot spots at their latitude from pattern matching of the entire
longitudinal image strip. If a downward branch of an equatorially-trapped
Rossby waves controls the overall appearance of hot spots, however, the
westward phase velocity of the wave leads to underestimates of the true jet
stream speed.


title:
Investigation of gamma ray detection performance of thin LFS
  scintillator with MAPD readout

abstract:
  Prototype of gamma ray detector based on Micro Pixel Avalanche Photodiodes
(MAPD) with high pixel density 15000 pixel/$mm^2$, optically coupled to
Lutetium Fine Silicate (LFS) scintillator has been developed. The detection
performance investigated in the range of energy 59.6 - 662 keV at room
temperature. The results of measurements are presented in this work.


title:
Phase transition between two-component and three-component ground states
  of spin-1 Bose-Einstein condensates

abstract:
  For an antiferromagnetic spin-1 Bose-Einstein condensate under an applied
uniform magnetic field, its ground state $(\psi_1,\psi_0,\psi_{-1})$ undergoes
a phase transition from a two-component state ($\psi_0 \equiv 0$) to a
three-component state ($\psi_j\ne 0$ for all $j$) at a critical value of the
magnetic field. This phenomenon has been observed in numerical simulations as
well as in experiments. In this paper, we provide a mathematical proof based on
a simple principle found by the authors: a redistribution of the mass densities
between different components will decrease the kinetic energy.

categories: math-ph cond-mat.quant-gas math.AP math.MP


title: Holographic applications of logarithmic conformal field theories

abstract:
  We review the relations between Jordan cells in various branches of physics,
ranging from quantum mechanics to massive gravity theories. Our main focus is
on holographic correspondences between critically tuned gravity theories in
Anti-de Sitter space and logarithmic conformal field theories in various
dimensions. We summarize the developments in the past five years, include some
novel generalizations and provide an outlook on possible future developments.

categories: hep-th cond-mat.stat-mech gr-qc quant-ph


title:
Finite range corrections near a Feshbach resonance and their role in the
  Efimov effect

abstract:
  We have measured the binding energy of $^7$Li Feshbach molecules deep into
the non-universal regime by associating free atoms in a Bose-Einstein
condensate by modulating the magnetic field. We extract the scattering length
from these measurements, correcting for non-universal short-range effects using
several different methods. We find that field-dependent effective range
corrections agree well with the data.
  With this more precise determination of the scattering length vs. field we
reanalyze our previous data on the location of atom loss features produced by
the Efimov effect \cite{PollackSci09} and investigate effective range
corrections to universal theory.


title:
Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle
  approaches 2\pi\ and completion of the main proof

abstract:
  This is the third and final paper in a series which establish results
announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff
limits of metrics with cone singularities in the case when the limiting cone
angle approaches 2\pi. We also put all our technical results together to
complete the proof of the main theorem that if a K-stable Fano manifold admits
a Kahler-Einstein metric.


title:
Comparison of ultra-stable radio frequency signals synthesized from
  independent secondary microwave frequency standards

abstract:
  The phase noise and frequency stability measurements of 1 GHz, 100 MHz, and
10 MHz signals are presented which have been synthesized from microwave
cryogenic sapphire oscillators using ultra-low-vibration pulse-tube cryocooler
technology. We present the measured data using independent cryogenic
oscillators for the 100 MHz and 10 MHz synthesized signals, whereas previously
we only estimated the expected results based on residual phase noise
measurements, when only one cryogenic oscillator was available. In addition we
present the design of a 1 GHz synthesizer using a Crystek voltage controlled
oscillator phase locked to 1 GHz output derived from a cryogenic sapphire
oscillator.


title: Creation of Tunable Homogeneous Thermal Cloak with Constant Conductivity

abstract:
  Invisible cloak has long captivated the popular conjecture and attracted
intensive research in various communities of wave dynamics, e.g., optics,
electromagnetics, acoustics, etc. However, their inhomogeneous and extreme
parameters imposed by transformation-optic method will usually require
challenging realization with metamaterials, resulting in narrow bandwidth,
loss, polarization-dependence, etc. On the contrary, we demonstrate that
tunable thermodynamic cloak can be achieved with homogeneous and finite
conductivity only employing naturally available materials. The controlled
localization of thermal distribution inside the coating layer has been
presented, and it shows that an incomplete cloak can function perfectly.
Practical realization of such homogeneous thermal cloak has been suggested by
using two naturally occurring conductive materials, which provides an
unprecedentedly plausible way to flexibly realize flexible thermal cloak and
manipulate thermal flow.


title: Study of ram pressure effects on NGC 2805 in Holmberg 124

abstract:
  In this paper we present new H{\sc i} 21cm spectral line images of the poor
group of late type galaxies, Holmberg 124 made using archival data from the
Giant Metrewave Radio Telescope (GMRT). Holmberg 124 is a group of four late
type galaxies: NGC 2805, NGC 2814, NGC 2820 and Mrk 108. We detect spectral
line emission from all the four galaxies and note several signatures of tidal
interactions among the member galaxies. Our results for the triplet (namely NGC
2820, NGC 2814 and Mrk 108) confirm the earlier results of Kantharia et al.
(2005) notably the detection of a possible tidal dwarf galaxy to the north-east
of NGC 2820. Further, in these images where the pointing center of the
observations was changed, we have recovered most of the H{\sc i} emission in
NGC 2805 as compared to Kantharia et al. (2005). We also report possible
detection of small discrete clouds between NGC 2820 and NGC 2805 which might be
stripped H{\sc i} in the intragroup medium (IGrM). However, these need
confirmation.


title: Stochastic maximum principle for optimal control of SPDEs

abstract:
  We prove a version of the maximum principle, in the sense of Pontryagin, for
the optimal control of a stochastic partial differential equation driven by a
finite dimensional Wiener process. The equation is formulated in a
semi-abstract form that allows direct applications to a large class of
controlled stochastic parabolic equations. We allow for a diffusion coefficient
dependent on the control parameter, and the space of control actions is
general, so that in particular we need to introduce two adjoint processes. The
second adjoint process takes values in a suitable space of operators on $L^4$.


title:
Effects of stellar rotation on star formation rates and comparison to
  core-collapse supernova rates

abstract:
  We investigate star formation rate (SFR) calibrations in light of recent
developments in the modeling of stellar rotation. Using new published
non-rotating and rotating stellar tracks, we study the integrated properties of
synthetic stellar populations and find that the UV to SFR calibration for the
rotating stellar population is 30% smaller than for the non-rotating stellar
population, and 40% smaller for the Halpha to SFR calibration. These reductions
translate to smaller SFR estimates made from observed UV and Halpha
luminosities. Using the UV and Halpha fluxes of a sample of ~300 local
galaxies, we derive a total (i.e., sky-coverage corrected) SFR within 11 Mpc of
120-170 Msun/yr and 80-130 Msun/yr for the non-rotating and rotating
estimators, respectively. Independently, the number of core-collapse supernovae
discovered in the same volume requires a total SFR of 270^{+110}_{-80} Msun/yr,
suggesting a mild tension with the SFR estimates made with rotating
calibrations. More generally, when compared with the estimated SFR, the local
supernova discoveries strongly constrain any physical effects that might
increase the energy output of massive stars, including, but not limited to,
stellar rotation. The cosmic SFR and cosmic supernova rate data on the other
hand show the opposite trend, with the cosmic SFR almost double that inferred
from cosmic supernovae, constraining a significant decrease in the energy
output of massive stars. Together, these lines of evidence suggest that the
true SFR calibration factors cannot be too far from their canonical values.


title: The Mass Profile and Accretion History of Cold Dark Matter Halos

abstract:
  We use the Millennium Simulation series to study the relation between the
accretion history (MAH) and mass profile of cold dark matter halos. We find
that the mean density within the scale radius, r_{-2} (where the halo density
profile has isothermal slope), is directly proportional to the critical density
of the Universe at the time when the main progenitor's virial mass equals the
mass enclosed within r_{-2}. Scaled to these characteristic values of mass and
density, the mean MAH, expressed in terms of the critical density of the
Universe, M(\rho_{crit}(z)), resembles that of the enclosed density profile,
M(<\rho >), at z=0. Both follow closely the NFW profile, suggesting that the
similarity of halo mass profiles originates from the mass-independence of halo
MAHs. Support for this interpretation is provided by outlier halos whose
accretion histories deviate from the NFW shape; their mass profiles show
correlated deviations from NFW and are better approximated by Einasto profiles.
Fitting both M(<\rho >) and M(\rho_{crit}) with either NFW or Einasto profiles
yield concentration and shape parameters that are correlated, confirming and
extending earlier work linking the concentration of a halo with its accretion
history. These correlations also confirm that halo structure is insensitive to
initial conditions: only halos whose accretion histories differ greatly from
the NFW shape show noticeable deviations from NFW in their mass profiles. As a
result, the NFW profile provides acceptable fits to hot dark matter halos,
which do not form hierarchically, and for fluctuation power spectra other than
CDM. Our findings, however, predict a subtle but systematic dependence of mass
profile shape on accretion history which, if confirmed, would provide strong
support for the link between accretion history and halo structure we propose
here.


title:
Transport properties of topological superconductor-Luttinger liquid
  junctions: a real-time Keldysh approach

abstract:
  Inspired by a recent experimental observation of the zero-bias tunneling
conductance in superconductor-semiconductor nanowire devices, we consider here
transport properties of the junctions consisting of a nanowire (Luttinger
liquid) coupled to a topological superconductor characterized by the presence
of Majorana zero-energy end states. The presence of the Majorana modes leads to
a quantization of the zero-bias tunneling conductance at zero temperature. In
order to understand this phenomenon, we have developed a framework, based on
real-time Keldysh technique, which allows one to compute tunneling conductance
at finite temperature and voltage in a realistic experimental setup. Our
approach allows one to understand this transport phenomenon from a more general
perspective by including the effect of interactions in the nanowire, which
sometimes results in a drastic departure from the non-interacting predictions.
Thus, our results provide a key insight for the tunneling experiments aiming at
detecting Majorana particles in one-dimensional nanowire devices.


title: Quantum 3-SAT is QMA1-complete

abstract:
  Quantum satisfiability is a constraint satisfaction problem that generalizes
classical boolean satisfiability. In the quantum k-SAT problem, each constraint
is specified by a k-local projector and is satisfied by any state in its
nullspace. Bravyi showed that quantum 2-SAT can be solved efficiently on a
classical computer and that quantum k-SAT with k greater than or equal to 4 is
QMA1-complete. Quantum 3-SAT was known to be contained in QMA1, but its
computational hardness was unknown until now. We prove that quantum 3-SAT is
QMA1-hard, and therefore complete for this complexity class.


title: Stable Bound Orbits of Massless Particles around a Black Ring

abstract:
  We study the geodesic motion of massless particles in singly rotating black
ring spacetimes. We find stable stationary orbits of massless particles in
toroidal spiral shape in the case that the thickness parameter of a black ring
is less than a critical value. Furthermore, there exist nonstationary massless
particles bounded in a finite region outside the horizon. This is the first
example of stable bound orbits of massless particles around a black object.


title:
On the approximation of positive closed currents on compact Kaehler
  manifolds

abstract:
  Let $L$ be a holomorphic line bundle over a compact K\"ahler manifold $X$
endowed with a singular Hermitian metric $h$ with curvature current
$c_1(L,h)\geq0$. In certain cases when the wedge product $c_1(L,h)^k$ is a well
defined current for some positive integer $k\leq\dim X$, we prove that
$c_1(L,h)^k$ can be approximated by averages of currents of integration over
the common zero sets of $k$-tuples of holomorphic sections over $X$ of the high
powers $L^p:=L^{\otimes p}$.
  In the second part of the paper we study the convergence of the Fubini-Study
currents and the equidistribution of zeros of $L^2$-holomorphic sections of the
adjoint bundles $L^p\otimes K_X$, where $L$ is a holomorphic line bundle over a
complex manifold $X$ endowed with a singular Hermitian metric $h$ with positive
curvature current. As an application, we obtain an approximation theorem for
the current $c_1(L,h)^k$ using currents of integration over the common zero
sets of $k$-tuples of sections of $L^p\otimes K_X$.


title: A new Monte Carlo study of evolution equation with coherence

abstract:
  We solve CCFM evolution equation numerically using the CohRad program based
on Monte Carlo methods. We discuss the effects of removing soft emissions and
non-Sudakov form factor by comparing the obtained distributions as functions of
accumulated transverse momenta or fractions of proton's longitudinal momenta.
We also compare the solution of the CCFM with the DGLAP equation in the gluonic
channel. Finally, we analyze the infra-red behaviour of solutions using the
so-called diffusion plots.


title:
Determination of |V_cb| from Inclusive Decays B -> Xc l nu using a
  Global Fit

abstract:
  In this article, we review the theory and the experimental status of
inclusive semileptonic B meson decays B -> Xc l nu. Based on these inputs, we
present the latest determination of the magnitude of the
Cabibbo-Kobayashi-Maskawa matrix element |V_cb| and of the b-quark mass m_b,
obtained by the Heavy Flavor Averaging Group (HFAG).