title: Trapped-ion quantum logic with global radiation fields

abstract:
  Trapped ions are a promising tool for building a large-scale quantum
computer. However, the number of required radiation fields for the realisation
of quantum gates in any proposed ion-based architecture scales with the number
of ions within the quantum computer, posing a major obstacle when imagining a
device with millions of ions. Here we present a fundamentally different concept
for trapped-ion quantum computing where this detrimental scaling entirely
vanishes, replacing millions of radiation fields with only a handful of fields.
The method is based on individually controlled voltages applied to each logic
gate location to facilitate the actual gate operation analogous to a
traditional transistor architecture within a classical computer processor. To
demonstrate the key principle of this approach we implement a versatile quantum
gate method based on long-wavelength radiation and use this method to generate
a maximally entangled state of two quantum engineered clock-qubits with
fidelity 0.985(12). This quantum gate also constitutes a simple-to-implement
tool for quantum metrology, sensing and simulation.


title:
Probing New Physics Scales from Higgs and Electroweak Observables at
  $e^+ e^-$ Higgs Factory

abstract:
  New physics beyond the standard model (SM) can be model-independently
formulated via dimension-6 effective operators, whose coefficients (cutoffs)
characterize the scales of new physics. We study the probe of new physics
scales from the electroweak precision observables (EWPO) and the Higgs
observables (HO) at the future $e^+e^-$ Higgs factory (such as CEPC). To
optimize constraints of new physics from all available observables, we
establish a scheme-independent approach. With this formulation, we treat the SM
electroweak parameters and the coefficients of dimension-6 operators on equal
footing, which can be fitted simultaneously by the same $\chi^2$ function. As
deviations from the SM are generally small, we can expand the new physics
parameters up to linear order and perform an analytical $\chi^2$ fit to derive
the potential reach of the new physics scales. We find that the HO from both
Higgs produnction and decay rates can probe the new physics scales up to 10TeV
(and to 44TeV for the case of gluon-involved operator $\mathcal{O}_g$), and the
new physics scales of Yukawa-type operators can be probed by the precision
Higgs coupling measurements up to (13-25)TeV. Further including the EWPO can
push the limit up to 35TeV. From this prospect, we demonstrate that the EWPO
measured in the early phase of a Higgs factory can be as important as the Higgs
observables. These indirect probes of new physics scales at the Higgs factory
can mainly cover the energy range to be directly explored by the next
generation hadron colliders of pp(50-100TeV), such as the SPPC and FCC-hh.


title: On Bayesian analysis of on-off measurements

abstract:
  We propose an analytical solution to the on-off problem within the framework
of Bayesian statistics. Both the statistical significance for the discovery of
new phenomena and credible intervals on model parameters are presented in a
consistent way. We use a large enough family of prior distributions of relevant
parameters. The proposed analysis is designed to provide Bayesian solutions
that can be used for any number of observed on-off events, including zero. The
procedure is checked using Monte Carlo simulations. The usefulness of the
method is demonstrated on examples from gamma-ray astronomy.


title: Actions of the Absolute Galois Group

abstract:
  We review some ideas of Grothendieck and others on actions of the absolute
Galois group {\Gamma} Q of Q (the automorphism group of the tower of finite
extensions of Q), related to the geometry and topology of surfaces (mapping
class groups, Teichm{\"u}ller spaces and moduli spaces of Riemann surfaces).
Grothendieck's motivation came in part from his desire to understand the
absolute Galois group. But he was also interested in Thurston's work on
surfaces, and he expressed this in his Esquisse d'un programme, his
R{\'e}coltes et semailles and on other occasions. He introduced the notions of
dessin d'enfant, Teichm{\"u}ller tower, and other related objects, he
considered the actions of {\Gamma} Q on them or on their etale fundamental
groups, and he made conjectures on some natural homomorphisms between the
absolute Galois group and the automor-phism groups (or outer automorphism
groups) of these objects. We mention several ramifications of these ideas, due
to various authors. We also report on the works of Sullivan and others on
nonlinear actions of {\Gamma} Q , in particular in homotopy theory. The final
version of this paper will appear as a chapter in Volume VI of the Handbook of
Teichm{\"u}ller theory. This volume is dedicated to the memory of Alexander
Grothendieck.


title: Scaling limits of energies and correctors

abstract:
  In stochastic homogenization of elliptic equations, the corrector plays a
central role. Under a finite range of dependence assumption on the coefficient
field, we show that the large-scale spatial averages of the corrector approach
those of a variant of the Gaussian free field. In contrast to previous work,
the argument does not rely on an underlying product structure of the
probability measure. Instead, we rely on the additivity of energy quantities to
show central limit theorems for these, and derive the large-scale behavior of
the corrector as a consequence.


title: On the Effects of Battery Imperfections in an Energy Harvesting Device

abstract:
  Energy Harvesting allows the devices in a Wireless Sensor Network to recharge
their batteries through environmental energy sources. While in the literature
the main focus is on devices with ideal batteries, in reality several
inefficiencies have to be considered to correctly design the operating regimes
of an Energy Harvesting Device (EHD). In this work we describe how the
throughput optimization problem changes under \emph{real battery} constraints
in an EHD. In particular, we consider imperfect knowledge of the state of
charge of the battery and storage inefficiencies, \emph{i.e.}, part of the
harvested energy is wasted in the battery recharging process. We formulate the
problem as a Markov Decision Process, basing our model on some realistic
observations about transmission, consumption and harvesting power. We find the
performance upper bound with a real battery and numerically discuss the novelty
introduced by the real battery effects. We show that using the \emph{old}
policies obtained without considering the real battery effects is strongly
sub-optimal and may even result in zero throughput.


title:
Traveling waves for a lattice dynamical system arising in a diffusive
  endemic model

abstract:
  This paper is concerned with a lattice dynamical system modeling the
evolution of susceptible and infective individuals at discrete niches. We prove
the existence of traveling waves connecting the disease-free state to
non-trivial leftover concentrations. We also characterize the minimal speed of
traveling waves and we prove the non-existence of waves with smaller speeds.


title:
Analysis of Cohesive Microsized Particle Packing Structure Using
  History-Dependent Contact Models

abstract:
  Granular packing structures of cohesive micro-sized particles with different
sizes and size distributions, including mono-sized, uniform and Gaussian
distribution, are investigated by using two different history dependent contact
models with Discrete Element Method (DEM). The simulation is carried out in the
framework of LIGGGHTS which is a DEM simulation package extended based on
branch of granular package of widely used open-source code LAMMPS. Contact
force caused by translation and rotation, frictional and damping forces due to
collision with other particles or container boundaries, cohesive force, van der
Waals force, and gravity are considered. The radial distribution functions
(RDFs), force distributions, porosities, and coordination numbers under
cohesive and non-cohesive conditions are reported. The results indicate that
particle size and size distributions have great influences on the packing
density for particle packing under cohesive effect: particles with Gaussian
distribution have the lowest packing density, followed by the particles with
uniform distribution; the particles with mono-sized distribution have the
highest packing density. It is also found that cohesive effect to the system
does not significantly affect the coordination number that mainly depends on
the particle size and size distribution. Although the magnitude of net force
distribution is different, the results for porosity, coordination number and
mean value of magnitude of net force do not vary significantly between the two
contact models.


title:
Probing the origin of quasi-periodic oscillations: the short-timescale
  evolution of phase lags in GRS 1915+105

abstract:
  We present a model-independent analysis of the short-timescale energy
dependence of low frequency quasi-periodic oscillations (QPOs) in the X-ray
flux of GRS 1915+105. The QPO frequency in this source has previously been
observed to depend on photon energy, with the frequency increasing with energy
for observations with a high ($\gtrsim 2$ Hz) QPO frequency, and decreasing
with energy for observations with a low ($\lesssim 2$ Hz) QPO frequency. As
this observed energy dependence is currently unexplained, we investigate if it
is intrinsic to the QPO mechanism by tracking phase lags on (sub)second
timescales. We find that the phase lag between two broad energy bands
systematically increases for $5$ - $10$ QPO cycles, after which the QPO becomes
decoherent, the phase lag resets and the pattern repeats. This shows that the
band with the higher QPO frequency is running away from the other band on short
timescales, providing strong evidence that the energy dependence of the QPO
frequency is intrinsic. We also find that the faster the QPO decoheres, the
faster the phase lag increases, suggesting that the intrinsic frequency
difference contributes to the decoherence of the QPO. We interpret our results
within a simple geometric QPO model, where different radii in the inner
accretion flow experience Lense-Thirring precession at different frequencies,
causing the decoherence of the oscillation. By varying the spectral shape of
the inner accretion flow as a function of radius, we are able to qualitatively
explain the energy-dependent behaviour of both QPO frequency and phase lag.


title:
Minimizing Movement for a Fractional Porous Medium Equation in a
  Periodic Setting

abstract:
  We consider a fractional porous medium equation that extends the classical
porous medium and fractional heat equations. The flow is studied in the space
of periodic probability measures endowed with a non-local transportation
distance constructed in the spirit of the Benamou-Brenier formula. For initial
periodic probability measures, we show the existence of absolutely continuous
curves that are generalized minimizing movements associated to R\'enyi entropy.
For that, we need to obtain entropy and distance properties and to develop a
subdifferential calculus in our setting.


title:
Majorana wavefunction oscillations, fermion parity switches, and
  disorder in Kitaev chains

abstract:
  We study the decay and oscillations of Majorana fermion wavefunctions and
ground state (GS) fermion parity in one-dimensional topological superconducting
lattice systems. Using a Majorana transfer matrix method, we find that Majorana
wavefunction properties are encoded in the associated Lyapunov exponent, which
in turn is the sum of two independent components: a `superconducting component'
which characterizes the gap induced decay, and the `normal component', which
determines the oscillations and response to chemical potential configurations.
The topological phase transition separating phases with and without Majorana
end modes is seen to be a cancellation of these two components. We show that
Majorana wavefunction oscillations are completely determined by an underlying
non-superconducting tight-binding model and are solely responsible for GS
fermion parity switches in finite-sized systems. These observations enable us
to analytically chart out wavefunction oscillations, the resultant GS parity
configuration as a function of parameter space in uniform wires, and special
parity switch points where degenerate zero energy Majorana modes are restored
in spite of finite size effects. For disordered wires, we find that band
oscillations are completely washed out leading to a second localization length
for the Majorana mode and the remnant oscillations are randomized as per
Anderson localization physics in normal systems. Our transfer matrix method
further allows us to i) reproduce known results on the scaling of mid-gap
Majorana states and demonstrate the origin of its log-normal distribution, ii)
identify contrasting behavior of disorder-dependent GS parity switches for the
cases of even versus odd number of lattice sites, and iii) chart out the GS
parity configuration and associated parity switch points as a function of
disorder strength.

categories: cond-mat.mes-hall cond-mat.dis-nn cond-mat.str-el cond-mat.supr-con


title:
Propagation of acoustic waves in two waveguides coupled by perforations.
  II. Application to periodic lattices of finite length

abstract:
  The paper deals with the generic problem of two waveguides coupled by
perforations, which can be perforated tube mufflers without or with partitions,
possibly with absorbing materials. Other examples are ducts with branched
resonators of honeycomb cavities , which can be coupled or not, and splitter
silencers. Assuming low frequencies, only one mode is considered in each guide.
The propagation in the two waveguides can be very different, thanks e.g. to the
presence of constrictions. The model is a discrete, periodic one, based upon
4th-order impedance matrices and their diagonalization. All the calculation is
analytical, thanks to the partition of the matrices in 2nd-order matrices, and
allows the treatment of a very wide types of problems. Several aspects are
investigated: the local or non-local character of the reaction of one guide to
the other; the definition of a coupling coefficient; the effect of finite size
when a lattice with n cells in inserted into an infinite guide; the
relationship between the Insertion Loss and the dispersion. The assumptions are
as follows: linear acoustics, no mean flow, rigid wall. However the effect of
the series impedance of the perforations, which is generally ignored, is taken
into account, and is dis- cussed. When there are no losses, it is shown that,
for symmetry reasons, the cutoff frequencies depend on either the series
impedance or the shunt admittance , and are the eigenfrequencies of the cells
of the lattice, with zero-pressure or zero-velocity at the ends of the cells.


title: Topological Symmetries of R^3, II

abstract:
  If a fintie group G acts topologically and faithfully on R^3, then G is a
subgroup of O(3)


title:
Long time existence results for bore-type initial data for
  BBM-Boussinesq systems

abstract:
  In this paper we deal with the long time existence for the Cauchy problem
associated to BBM-type Boussinesq systems of equations which are asymptotic
models for long wave, small amplitude gravity surface water waves. As opposed
to previous papers devoted to the long time existence issue, we consider
initial data with nontrivial behaviour at innity which may be used to model
bore propagation.


title:
Asymptotically good 4-quasi transitive algebraic geometry codes over
  prime fields

abstract:
  We study the asymptotic behavior of a family of algebraic geometry codes
which are 4-quasi transitive linear codes. We prove that this family is
asymptotically good over many prime fields using towers of algebraic function
fields.


title:
Nitrogen Substituted Polycyclic Aromatic Hydrocarbon As Capable
  Interstellar Infrared Spectrum Source Considering Astronomical Chemical
  Evolution Step To Biological Organic Purine And Adenine

abstract:
  In order to find out capable chemical evolution step from astronomically
created organic in interstellar space to biological organic on the earth,
infrared spectrum of nitrogen substituted carbon pentagon-hexagon coupled
polycyclic aromatic hydrocarbon was analyzed by the density functional theory.
Ionization was modeled from neutral to tri-cation. Among one nitrogen and two
nitrogen substituted NPAH, we could find good examples showing similar IR
behavior with astronomically well observed one as like C8H6N1, C7H5N2, and
C7H5N2. We can imagine that such ionized NPAH may be created in interstellar
space by attacks of high energy nitrogen and photon. Whereas, in case of three
and four nitrogen substituted cases as like C6H4N3 and C5H3N4, there were no
candidate showing similar behavior with observed one. Also, IR of typical
biological organic with four and five nitrogen substituted one as like purine
and adenine resulted no good similarity with observed one. By such theoretical
comparison, one capable story of chemical evolution of PAH in interstellar
space was that one and two nitrogen substituted carbon pentagon-hexagon
molecules may have a potential to be created in interstellar space, whereas
more than three nitrogen substituted molecules including biological organic
purine and adenine may not be synthesized in space, possibly on the earth.


title:
The super-indeterminism in orthodox quantum mechanics does not implicate
  the reality of experimenter free will

abstract:
  The concept of 'super-indeterminism' captures the notion that the free choice
assumption of orthodox quantum mechanics necessitates only the following
requirement: an agent's free-choice performance in the selection of measurement
settings must not represent an exception to the rule of irreducible quantum
indeterminism in the physical universe (i.e, "universal indeterminism"). Any
additional metaphysical speculation, such as to whether quantum indeterminism,
i.e., intrinsic randomness, implicates the reality of experimenter "freedom",
"free will", or "free choice", is redundant in relation to the predictive
success of orthodox quantum mechanics. Accordingly, super-indeterminism views
as redundant also, from a technical standpoint, whether an affirmative or a
negative answer is claimed in reference to universal indeterminism as a
necessary precondition for experimenter freedom. Super-indeterminism accounts,
for example, for the circular reasoning which is implicit in the free will
theorem by Conway and Kochen. The concept of super-indeterminism is of great
assistance in clarifying the often misunderstood meaning of the concept of
"free variables" as used by John Bell. The present work argues that Bell sought
an operational, effective free will theorem, one based upon the notion of
"determinism without predetermination", i.e., one wherein "free variables"
represent universally uncomputable variables. In conclusion, the standard
interpretation of quantum theory does not answer, and does not need to answer
in order to ensure the predictive success of orthodox theory, the question of
whether either incompatibilism or compatibilism is valid in relation to
free-will metaphysics and to the free-will phenomenology of experimenter agents
in quantum mechanics.


title: A Class Of Elliptic Equations with Interior Degeneration

abstract:
  A class of linear degenerate elliptic equations inspired by nonlinear
diffusions of image processing is considered. It is characterized by an
interior degeneration of the diffusion coefficient. It is shown that no
particularly natural, unique interpretation of the equation is possible. This
phenomenon is reflected in the behavior of numerical schemes for its resolution
and points to similar issues that potentially affect its nonlinear counterpart.


title:
Centrality dependence of charged jet production in p-Pb collisions at
  $\sqrt{s_\mathrm{NN}}$ = 5.02 TeV

abstract:
  Measurements of charged jet production as a function of centrality are
presented for p-Pb collisions recorded at $\sqrt{s_{\rm NN}} = 5.02$ TeV with
the ALICE detector. Centrality classes are determined via the energy deposit in
neutron calorimeters at zero degree, close to the beam direction, to minimise
dynamical biases of the selection. The corresponding number of participants or
binary nucleon-nucleon collisions is determined based on the particle
production in the Pb-going rapidity region. Jets have been reconstructed in the
central rapidity region from charged particles with the anti-$k_{\rm T}$
algorithm for resolution parameters $R = 0.2$ and $R = 0.4$ in the transverse
momentum range 20 to 120 GeV/$c$. The reconstructed jet momentum and yields
have been corrected for detector effects and underlying-event background. In
the five centrality bins considered, the charged jet production in p-Pb
collisions is consistent with the production expected from binary scaling from
pp collisions. The ratio of jet yields reconstructed with the two different
resolution parameters is also independent of the centrality selection,
demonstrating the absence of major modifications of the radial jet structure in
the reported centrality classes.


title:
Born-Jordan Pseudo-Differential Operators with Symbols in the Shubin
  Classes

abstract:
  We apply Shubin's theory of global symbol classes $\Gamma_{\rho}^{m}$ to the
Born-Jordan pseudodifferential calculus we have previously developed. This
approach has many conceptual advantages, and makes the relationship between the
conflicting Born-Jordan and Weyl quantization methods much more limpid. We
give, in particular, precise asymptotic expansions of symbols allowing to pass
from Born-Jordan quantization to Weyl quantization, and vice-versa. In addition
we state and prove some regularity and global hypoellipticity results.


title: Memory DoS Attacks in Multi-tenant Clouds: Severity and Mitigation

abstract:
  In cloud computing, network Denial of Service (DoS) attacks are well studied
and defenses have been implemented, but severe DoS attacks on a victim's
working memory by a single hostile VM are not well understood. Memory DoS
attacks are Denial of Service (or Degradation of Service) attacks caused by
contention for hardware memory resources on a cloud server. Despite the strong
memory isolation techniques for virtual machines (VMs) enforced by the software
virtualization layer in cloud servers, the underlying hardware memory layers
are still shared by the VMs and can be exploited by a clever attacker in a
hostile VM co-located on the same server as the victim VM, denying the victim
the working memory he needs. We first show quantitatively the severity of
contention on different memory resources. We then show that a malicious cloud
customer can mount low-cost attacks to cause severe performance degradation for
a Hadoop distributed application, and 38X delay in response time for an
E-commerce website in the Amazon EC2 cloud.
  Then, we design an effective, new defense against these memory DoS attacks,
using a statistical metric to detect their existence and execution throttling
to mitigate the attack damage. We achieve this by a novel re-purposing of
existing hardware performance counters and duty cycle modulation for security,
rather than for improving performance or power consumption. We implement a full
prototype on the OpenStack cloud system. Our evaluations show that this defense
system can effectively defeat memory DoS attacks with negligible performance
overhead.


title: A fixed point on generalised cone metric spaces

abstract:
  The aim of this paper is to prove a fixed point theorem on a generalised cone
metric spaces for maps satisfying general contractive type conditions.


title:
Identification of nematic superconductivity from the upper critical
  field

abstract:
  Recent nuclear magnetic resonance and specific heat measurements have
provided concurring evidence of spontaneously broken rotational symmetry in the
superconducting state of the doped topological insulator Cu$_x$Bi$_2$Se$_3$.
This suggests that the pairing symmetry corresponds to a two-dimensional
representation of the $D_{3d}$ crystal point group, and that Cu$_x$Bi$_2$Se$_3$
is a nematic superconductor. In this work, we present a comprehensive study of
the upper critical field $H_{c2}$ of nematic superconductors within
Ginzburg-Landau (GL) theory. Contrary to typical GL theories which have an
emergent U(1) rotational symmetry obscuring the discrete symmetry of the
crystal, the theory of two-component superconductors in trigonal crystals
reflects the true $D_{3d}$ crystal symmetry. This has direct implications for
the upper critical field. First, $H_{c2}$ of trigonal superconductors exhibits
a sixfold anisotropy in the basal plane. Second, when the degeneracy of the two
components is lifted by, e.g., uniaxial strain, $H_{c2}$ exhibits a twofold
anisotropy with characteristic angle and temperature dependence. Our thorough
study shows that measurement of the upper critical field is a direct method of
detecting nematic superconductivity, which is directly applicable to
recently-discovered trigonal superconductors Cu$_x$Bi$_2$Se$_3$,
Sr$_x$Bi$_2$Se$_3$, Nb$_x$Bi$_2$Se$_3$, and Tl$_x$Bi$_2$Se$_3$.


title: Scaling limit analysis of Borromean halos

abstract:
  The analysis of the core recoil momentum distribution of neutron-rich
isotopes of light exotic nuclei is performed within a model of the halo nuclei
described by a core and two neutrons dominated by the $s-$wave channel. We
adopt the renormalized three-body model with a zero-range force, that accounts
for the universal Efimov physics. This model is applicable to nuclei with large
two-neutron halos compared to the core size, and a neutron-core scattering
length larger than the interaction range. The halo wave function in momentum
space is obtained by using as inputs the two-neutron separation energy and the
energies of the singlet neutron-neutron and neutron-core virtual states. Within
our model, we obtain the momentum probability densities for the Borromean
exotic nuclei Lithium-11 ($^{11}$Li), Berylium-14 ($^{14}$Be) and Carbon-22
($^{22}$C). A fair reproduction of the experimental data was obtained in the
case of the core recoil momentum distribution of $^{11}$Li and $^{14}$Be,
without free parameters. By extending the model to $^{22}$C, the combined
analysis of the core momentum distribution and matter radius suggest (i) a
$^{21}$C virtual state well below 1 MeV; (ii) an overestimation of the
extracted matter $^{22}$C radius; and (iii) a two-neutron separation energy
between 100 and 400 keV.


title:
Assembly of nothing: Equilibrium fluids with designed structured
  porosity

abstract:
  Controlled micro- to meso-scale porosity is a common materials design goal
with possible applications ranging from molecular gas adsorption to particle
size selective permeability or solubility. Here, we use inverse methods of
statistical mechanics to design an isotropic pair interaction that, in the
absence of an external field, assembles particles into an inhomogeneous {\em
fluid} matrix surrounding pores of prescribed size ordered in a lattice
morphology. The pore size can be tuned via modification of temperature or
particle concentration. Moreover, modulating density reveals a rich series of
microphase-separated morphologies including pore- or particle-based lattices,
pore- or particle-based columns, and bicontinuous or lamellar structures.
Sensitivity of pore assembly to the form of the designed interaction potential
is explored.


title:
Security, Privacy, and Access Control in Information-Centric Networking:
  A Survey

abstract:
  Information-Centric Networking (ICN) is a new networking paradigm, which
replaces the widely used host-centric networking paradigm in communication
networks (e.g., Internet, mobile ad hoc networks) with an information-centric
paradigm, which prioritizes the delivery of named content, oblivious of the
contents origin. Content and client security are more intrinsic in the ICN
paradigm versus the current host centric paradigm where they have been
instrumented as an after thought. By design, the ICN paradigm inherently
supports several security and privacy features, such as provenance and identity
privacy, which are still not effectively available in the host-centric
paradigm. However, given its nascency, the ICN paradigm has several open
security and privacy concerns, some that existed in the old paradigm, and some
new and unique. In this article, we survey the existing literature in security
and privacy research sub-space in ICN. More specifically, we explore three
broad areas: security threats, privacy risks, and access control enforcement
mechanisms.
  We present the underlying principle of the existing works, discuss the
drawbacks of the proposed approaches, and explore potential future research
directions. In the broad area of security, we review attack scenarios, such as
denial of service, cache pollution, and content poisoning. In the broad area of
privacy, we discuss user privacy and anonymity, name and signature privacy, and
content privacy. ICN's feature of ubiquitous caching introduces a major
challenge for access control enforcement that requires special attention. In
this broad area, we review existing access control mechanisms including
encryption-based, attribute-based, session-based, and proxy re-encryption-based
access control schemes. We conclude the survey with lessons learned and scope
for future work.


title:
Killing Auger recombination in nanostructures by carrier spin
  polarization

abstract:
  In semiconductor nanostructures nonradiative Auger recombination is enhanced
by the presence of boundaries which relax the momentum conservation and thereby
removes the threshold reduction for these processes. We propose a method to
strongly reduce the Auger recombination rate by injecting spin-polarized
carriers. Our method is illustrated on the example of a quantum well in which
the spin-orbit coupling of conduction band is negligible as compared to valence
band and thus holes can be considered as spin-unpolarized. The suppression
factor of the Auger recombination is determined by the two-dimensional
character of the system, given by the ratio of the Fermi energy of electrons
and the separation of the electron levels quantized in the growth direction.
Our predictions can be tested experimentally and we discuss their implications
for semiconductor lasers relying on injection of spin-polarized electrons.


title:
Modified mixed realizations, new additive invariants, and periods of dg
  categories

abstract:
  To every scheme, not necessarily smooth neither proper, we can associate its
different mixed realizations (de Rham, Betti, etale, Hodge, etc) as well as its
ring of periods. In this note, following an insight of Kontsevich, we prove
that, after suitable modifications, these classical constructions can be
extended from schemes to the broad setting of dg categories. This leads to new
additive invariants, which we compute in the case of differential operators, as
well as to a theory of periods of dg categories. Among other applications, we
prove that the ring of periods of a scheme is invariant under projective
homological duality. Along the way, we explicitly describe the modified mixed
realizations using the Tannakian formalism.


title:
Electromagnetic induction imaging with a radio-frequency atomic
  magnetometer

abstract:
  We report on a compact, tunable, and scalable to large arrays imaging device,
based on a radio-frequency optically pumped atomic magnetometer operating in
magnetic induction tomography modality. Imaging of conductive objects is
performed at room temperature, in an unshielded environment and without
background subtraction. Conductivity maps of target objects exhibit not only
excellent performance in terms of shape reconstruction but also demonstrate
detection of sub-millimetric cracks and penetration of conductive barriers. The
results presented here demonstrate the potential of a future generation of
imaging instruments, which combine magnetic induction tomography and the
unmatched performance of atomic magnetometers.


title: A service system with randomly behaving on-demand agents

abstract:
  We consider a service system where agents (or, servers) are invited
on-demand. Customers arrive as a Poisson process and join a customer queue.
Customer service times are i.i.d. exponential. Agents' behavior is random in
two respects. First, they can be invited into the system exogenously, and join
the agent queue after a random time. Second, with some probability they rejoin
the agent queue after a service completion, and otherwise leave the system. The
objective is to design a real-time adaptive agent invitation scheme that keeps
both customer and agent queues/waiting-times small. We study an adaptive
scheme, which controls the number of pending agent invitations, based on
queue-state feedback.
  We study the system process fluid limits, in the asymptotic regime where the
customer arrival rate goes to infinity. The fluid limit trajectories have
complicated behavior -- there are two domains where they follow different ODEs,
and a "reflecting" boundary. We use the machinery of switched linear systems
and common quadratic Lyapunov functions to approach the stability of fluid
limits at the desired equilibrium point (with zero queues). We derive
sufficient local stability conditions for the fluid limits. We conjecture that,
for our model, local stability is in fact sufficient for global stability of
fluid limits; the validity of this conjecture is supported by numerical and
simulation experiments. When the local stability conditions do hold,
simulations show good overall performance of the scheme.


title:
Octupole deformation in the ground states of even-even nuclei: a global
  analysis within the covariant density functional theory

abstract:
  A systematic investigation of octupole deformed nuclei is presented for
even-even systems with $Z\leq 106$ located between the two-proton and
two-neutron drip lines. For this study we use five most up-to-date covariant
energy density functionals of different types, with a non-linear meson
coupling, with density dependent meson couplings, and with density-dependent
zero-range interactions. Pairing correlations are treated within relativistic
Hartree-Bogoliubov (RHB) theory based on an effective separable
particle-particle interaction of finite range. This allows us to assess
theoretical uncertainties within the present covariant models for the
prediction of physical observables relevant for octupole deformed nuclei. In
addition, a detailed comparison with the predictions of non-relativistic models
is performed. A new region of octupole deformation, centered around $Z\sim 98,
N\sim 196$ is predicted for the first time. In terms of its size in the $(Z,N)$
plane and the impact of octupole deformation on binding energies this region is
similar to the best known region of octupole deformed nuclei centered at $Z\sim
90, N\sim 136$. For the later island of octupole deformed nuclei, the
calculations suggest substantial increase of its size as compared with
available experimental data.


title:
Uniformly Distributed Measures have Big Pieces of Lipschitz Graphs
  locally

abstract:
  The study of uniformly distributed measures was crucial in Preiss' proof of
his theorem on rectifiability of measures with positive density. It is known
that the support of a uniformly distributed measure is an analytic variety. In
this paper, we provide quantitative information on the rectifiability of this
variety. Tolsa had already shown that $n$-uniform measures have Big Pieces of
Lipschitz Graphs(BPLG) . Here, we prove that a uniformly distributed measure
has BPLG locally.


title: On the origin of constrained superfields

abstract:
  In this work we analyze constrained superfields in supersymmetry and
supergravity. We propose a constraint that, in combination with the constrained
goldstino multiplet, consistently removes any selected component from a generic
superfield. We also describe its origin, providing the operators whose
equations of motion lead to the decoupling of such components. We illustrate
our proposal by means of various examples and show how known constraints can be
reproduced by our method.


title: Texture Networks: Feed-forward Synthesis of Textures and Stylized Images

abstract:
  Gatys et al. recently demonstrated that deep networks can generate beautiful
textures and stylized images from a single texture example. However, their
methods requires a slow and memory-consuming optimization process. We propose
here an alternative approach that moves the computational burden to a learning
stage. Given a single example of a texture, our approach trains compact
feed-forward convolutional networks to generate multiple samples of the same
texture of arbitrary size and to transfer artistic style from a given image to
any other image. The resulting networks are remarkably light-weight and can
generate textures of quality comparable to Gatys~et~al., but hundreds of times
faster. More generally, our approach highlights the power and flexibility of
generative feed-forward models trained with complex and expressive loss
functions.


title: Multivariate tests of association based on univariate tests

abstract:
  For testing two random vectors for independence, we consider testing whether
the distance of one vector from a center point is independent from the distance
of the other vector from a center point by a univariate test. In this paper we
provide conditions under which it is enough to have a consistent univariate
test of independence on the distances to guarantee that the power to detect
dependence between the random vectors increases to one, as the sample size
increases. These conditions turn out to be minimal. If the univariate test is
distribution-free, the multivariate test will also be distribution-free. If we
consider multiple center points and aggregate the center-specific univariate
tests, the power may be further improved, and the resulting multivariate test
may be distribution-free for specific aggregation methods (if the univariate
test is distribution-free). We show that several multivariate tests recently
proposed in the literature can be viewed as instances of this general approach.


title: Stellar Coronal Response to Differential Rotation and Flux Emergence

abstract:
  We perform a numerical parameter study to determine what effect varying
differential rotation and flux emergence has on a star's non-potential coronal
magnetic field. In particular we consider the effects on the star's surface
magnetic flux, open magnetic flux, mean azimuthal field strength, coronal free
magnetic energy, coronal heating and flux rope eruptions. To do this, we apply
a magnetic flux transport model to describe the photospheric evolution, and
couple this to the non-potential coronal evolution using a magnetofrictional
technique. A flux emergence model is applied to add new magnetic flux onto the
photosphere and into the corona. The parameters of this flux emergence model
are derived from the solar flux emergence profile, however the rate of
emergence can be increased to represent higher flux emergence rates than the
Sun's. Overall we find that flux emergence has a greater effect on the
non-potential coronal properties compared to differential rotation, with all
the aforementioned properties increasing with increasing flux emergence rate.
Although differential rotation has a lesser effect on the overall coronal
properties compared to flux emergence, varying differential rotation does alter
the coronal structure. As the differential rotation rate increases, the corona
becomes more open, and more non-potential.


title: Direct Measurement of Photon Recoil from a Levitated Nanoparticle

abstract:
  The momentum transfer between a photon and an object defines a fundamental
limit for the precision with which the object can be measured. If the object
oscillates at a frequency $\Omega_0$, this measurement back-action adds quanta
$\hbar\Omega_0$ to the oscillator's energy at a rate $\Gamma_{\rm recoil}$, a
process called photon recoil heating, and sets bounds to quantum coherence
times in cavity optomechanical systems. Here, we use an optically levitated
nanoparticle in ultrahigh vacuum to directly measure $\Gamma_{\rm recoil}$. By
means of a phase-sensitive feedback scheme, we cool the harmonic motion of the
nanoparticle from ambient to micro-Kelvin temperatures and measure its
reheating rate under the influence of the radiation field. The recoil heating
rate is measured for different particle sizes and for different excitation
powers, without the need for cavity optics or cryogenic environments. The
measurements are in quantitative agreement with theoretical predictions and
provide valuable guidance for the realization of quantum ground-state cooling
protocols and the measurement of ultrasmall forces


title: Characterising the 750 GeV diphoton excess

abstract:
  We study kinematic distributions that may help characterise the recently
observed excess in diphoton events at 750 GeV at the LHC Run 2. Several
scenarios are considered, including spin-0 and spin-2 750 GeV resonances that
decay directly into photon pairs as well as heavier parent resonances that
undergo three-body or cascade decays. We find that combinations of the
distributions of the diphoton system and the leading photon can distinguish the
topology and mass spectra of the different scenarios, while patterns of QCD
radiation can help differentiate the production mechanisms. Moreover, missing
energy is a powerful discriminator for the heavy parent scenarios if they
involve (effectively) invisible particles. While our study concentrates on the
current excess at 750 GeV, the analysis is general and can also be useful for
characterising other potential diphoton signals in the future.


title:
Interpreting current-induced spin polarization in topological insulator
  surface states

abstract:
  Several recent experiments on three-dimensional topological insulators claim
to observe a large charge current-induced non-equilibrium ensemble spin
polarization of electrons in the helical surface state. We present a
comprehensive criticism of such claims, using both theory and experiment:
First, we clarify the interpretation of quantities extracted from these
measurements by deriving standard expressions from a Boltzmann transport
equation approach in the relaxation-time approximation at zero and finite
temperature to emphasize our assertion that, despite high in-plane spin
projection, obtainable current-induced ensemble spin polarization is minuscule.
Second, we use a simple experiment to demonstrate that magnetic field-dependent
open-circuit voltage hysteresis (identical to those attributed to
current-induced spin polarization in topological insulator surface states) can
be generated in analogous devices where current is driven through thin films of
a topologically-trivial metal. This result *ipso facto* discredits the naive
interpretation of previous experiments with TIs, which were used to claim
observation of helicity, i.e. spin-momentum locking in the
topologically-protected surface state.


title:
Self-accelerating Massive Gravity: Hidden Constraints and
  Characteristics

abstract:
  Self-accelerating backgrounds in massive gravity provide an arena to explore
the Cauchy problem for derivatively coupled fields that obey complex
constraints which reduce the phase space degrees of freedom. We present here an
algorithm based on the Kronecker form of a matrix pencil that finds all hidden
constraints, for example those associated with derivatives of the equations of
motion, and characteristic curves for any 1+1 dimensional system of linear
partial differential equations. With the Regge-Wheeler-Zerilli decomposition of
metric perturbations into angular momentum and parity states, this technique
applies to fully 3+1 dimensional perturbations of massive gravity around any
isotropic self-accelerating background. Five spin modes of the massive graviton
propagate once the constraints are imposed: two spin-2 modes with luminal
characteristics present in the massless theory as well as two spin-1 modes and
one spin-0 mode. Although the new modes all possess the same - typically
spacelike - characteristic curves, the spin-1 modes are parabolic while the
spin-0 modes are hyperbolic. The joint system, which remains coupled by
non-derivative terms, cannot be solved as a simple Cauchy problem from a single
non-characteristic surface. We also illustrate the generality of the algorithm
with other cases where derivative constraints reduce the number of propagating
degrees of freedom or order of the equations.


title: Second-order variational equations for N-body simulations

abstract:
  First-order variational equations are widely used in N-body simulations to
study how nearby trajectories diverge from one another. These allow for
efficient and reliable determinations of chaos indicators such as the Maximal
Lyapunov characteristic Exponent (MLE) and the Mean Exponential Growth factor
of Nearby Orbits (MEGNO).
  In this paper we lay out the theoretical framework to extend the idea of
variational equations to higher order. We explicitly derive the differential
equations that govern the evolution of second-order variations in the N-body
problem. Going to second order opens the door to new applications, including
optimization algorithms that require the first and second derivatives of the
solution, like the classical Newton's method. Typically, these methods have
faster convergence rates than derivative-free methods. Derivatives are also
required for Riemann manifold Langevin and Hamiltonian Monte Carlo methods
which provide significantly shorter correlation times than standard methods.
Such improved optimization methods can be applied to anything from
radial-velocity/transit-timing-variation fitting to spacecraft trajectory
optimization to asteroid deflection.
  We provide an implementation of first and second-order variational equations
for the publicly available REBOUND integrator package. Our implementation
allows the simultaneous integration of any number of first and second-order
variational equations with the high-accuracy IAS15 integrator. We also provide
routines to generate consistent and accurate initial conditions without the
need for finite differencing.


title:
Linear Response Theory for Symmetry Improved Two Particle Irreducible
  Effective Actions

abstract:
  We investigate the linear response of an O(N) scalar quantum field theory
subject to external perturbations using the symmetry improved two particle
irreducible effective action formalism [A. Pilaftsis and D. Teresi, Nucl. Phys.
B874, 594 (2013)]. Despite satisfactory equilibrium behavior, we find a number
of unphysical effects at the linear response level. Goldstone boson field
fluctuations are over-determined, with the only consistent solution being to
set the fluctuations and their driving sources to zero, except for momentum
modes where the Higgs and Goldstone self-energies obey a particular
relationship. Also Higgs field fluctuations propagate masslessly, despite the
Higgs propagator having the correct mass. These pathologies are independent of
any truncation of the effective action and still exist even if we relax the
over-determining Ward identities, so long as the constraint is formulated
O(N)-covariantly. We discuss possible reasons for the apparent incompatibility
of the constraints and linear response approximation and possible ways forward.


title: The parabolic algebra on Banach spaces

abstract:
  The parabolic algebra was introduced by Katavolos and Power, in 1997, as the
operator algebra acting on $L^2(R)$ that is weakly generated by the translation
and multiplication semigroups. In particular, they proved that this algebra is
reflexive and is equal to the Fourier binest algebra, that is, to the algebra
of operators that leave invariant the subspaces of the Volterra nest and its
analytic counterpart. We prove that a similar result holds for the
corresponding algebras acting on $L^p(R)$, where $1<p<\infty$. It is also shown
that the reflexive closures of the Fourier binests on $L^p(R)$ are all order
isomorphic for $1 < p < \infty$.


title:
Spherical configuration of a super-dense hot compact object with
  particular EoS

abstract:
  The equation of state (EoS) $P = P (\rho, ...)$ -- pressure as a function of
density and other thermodynamical quantities -- is what generates
particularities of mass--radius distribution $M (R)$ for super--dense compact
stellar bodies, the remnants of cosmic cataclysms. In view of recent nuclear
experiments, we propose one particular EoS, which admits the critical state
characterized by density $\rho_c$ and temperature $T_c$, and which under
certain conditions permits a radial distribution of the super--dense matter in
"liquid" phase. We establish such conditions and demonstrate that a stable
configuration is indeed possible (only) for temperatures smaller than the
critical one. Using Tolman--Oppenheimer--Volkoff equations for hydrostatic
equilibrium, we derive the mass--radius relation for the super--dense compact
objects with masses smaller than the Sun, $M \ll M_{\odot}$. The obtained
results are within the constraints established by both heavy--ion collision
experiments and theoretical studies of neutron--rich matter.


title: Optimization of constrained density functional theory

abstract:
  Constrained density functional theory (cDFT) is a versatile electronic
structure method that enables ground-state calculations to be performed subject
to physical constraints. It thereby broadens their applicability and utility.
Automated Lagrange multiplier optimisation is necessary for multiple
constraints to be applied efficiently in cDFT, for it to be used in tandem with
geometry optimization, or with molecular dynamics. In order to facilitate this,
we comprehensively develop the connection between cDFT energy derivatives and
response functions, providing a rigorous assessment of the uniqueness and
character of cDFT stationary points while accounting for electronic
interactions and screening. In particular, we provide a new, non-perturbative
proof that stable stationary points of linear density constraints occur only at
energy maxima with respect to their Lagrange multipliers. We show that multiple
solutions, hysteresis, and energy discontinuities may occur in cDFT.
Expressions are derived, in terms of convenient by-products of cDFT
optimization, for quantities such as the dielectric function and a condition
number quantifying ill-definition in multi-constraint cDFT.


title: Geometrical Aspects of non-gravitational interactions

abstract:
  In this work we look for a geometric description of non-gravitational forces.
The basic ideas are proposed studying the interaction between a punctual
particle and an electromagnetic external field. For this purpose, we introduce
the concept of proper space-time, that allow us to describe this interaction in
a way analogous to the one that the general relativity theory does for
gravitation. The field equations that define this geometry are similar to the
Einstein's equations, where in general, the energy-momentum tensor have
information of both, the particle and the external field. In this formalism we
consider the particle path as being a geodesic in a curved space-time, and so,
the electromagnetic force is understood in a purely geometric way.


title: Light Chiral Dark Sector

abstract:
  An interesting possibility for dark matter is a scalar particle of mass of
order 10 MeV-1 GeV, interacting with a U(1) gauge boson (dark photon) which
mixes with the photon. We present a simple and natural model realizing this
possibility. The dark matter arises as a composite pseudo Nambu-Goldstone boson
(dark pion) in a non-Abelian gauge sector, which also gives a mass to the dark
photon. For a fixed non-Abelian gauge group, SU(N), and a U(1) charge of the
constituent dark quarks, the model has only three free parameters: the
dynamical scale of the non-Abelian gauge theory, the gauge coupling of the dark
photon, and the mixing parameter between the dark and standard model photons.
In particular, the gauge symmetry of the model does not allow any mass term for
the dark quarks, and stability of the dark pion is understood as a result of an
accidental global symmetry. The model has a significant parameter space in
which thermal relic dark pions comprise all of the dark matter, consistently
with all experimental and cosmological constraints. In a corner of the
parameter space, the discrepancy of the muon g-2 between experiments and the
standard model prediction can also be ameliorated due to a loop contribution of
the dark photon. Smoking-gun signatures of the model include a monophoton
signal from the e+ e- collision into a photon and a "dark rho meson."
Observation of two processes in e+ e- collision, the mode into the dark photon
and that into the dark rho meson, would provide strong evidence for the model.


title:
Sensitivity of the Cherenkov Telescope Array to the Detection of
  Intergalactic Magnetic Fields

abstract:
  Very high energy (VHE; energy $E \gtrsim 100\,$GeV) $\gamma$-rays originating
from extragalactic sources undergo pair production with low-energy photons of
background radiation fields. These pairs can inverse-Compton-scatter background
photons, initiating an electromagnetic cascade. The spatial and temporal
structure of this secondary $\gamma$-ray signal is altered as the $e^+e^-$
pairs are deflected in an intergalactic magnetic field (IGMF). We investigate
how VHE observations with the future Cherenkov Telescope Array with its high
angular resolution and broad energy range, can potentially probe the IGMF. We
identify promising sources and simulate $\gamma$-ray spectra over a wide range
of values of the IGMF strength and coherence length using the publicly
available ELMAG Monte Carlo code. Combining simulated observations in a joint
likelihood approach, we find that current limits on the IGMF can be
significantly improved. The projected sensitivity depends strongly on the time
a source has been $\gamma$-ray active and on the emitted maximum $\gamma$-ray
energy.


title:
KMOS^3D: Dynamical constraints on the mass budget in early star-forming
  disks

abstract:
  We exploit deep integral-field spectroscopic observations with KMOS/VLT of
240 star-forming disks at 0.6 < z < 2.6 to dynamically constrain their mass
budget. Our sample consists of massive ($\gtrsim 10^{9.8} M_\odot$) galaxies
with sizes $R_e \gtrsim 2$ kpc. By contrasting the observed velocity and
dispersion profiles to dynamical models, we find that on average the stellar
content contributes $32^{+8}_{-7}\%$ of the total dynamical mass, with a
significant spread among galaxies (68th percentile range f_star ~ 18 - 62%).
Including molecular gas as inferred from CO- and dust-based scaling relations,
the estimated baryonic mass adds up to $56^{+17}_{-12}\%$ of total for the
typical galaxy in our sample, reaching ~ 90% at z > 2. We conclude that baryons
make up most of the mass within the disk regions of high-redshift star-forming
disk galaxies, with typical disks at z > 2 being strongly baryon-dominated
within $R_e$. Substantial object-to-object variations in both stellar and
baryonic mass fractions are observed among the galaxies in our sample, larger
than what can be accounted for by the formal uncertainties in their respective
measurements. In both cases, the mass fractions correlate most strongly with
measures of surface density. High $\Sigma_{star}$ galaxies feature stellar mass
fractions closer to unity, and systems with high inferred gas or baryonic
surface densities leave less room for additional mass components other than
stars and molecular gas. Our findings can be interpreted as more extended disks
probing further (and more compact disks probing less far) into the dark matter
halos that host them.


title: Coherent spin-exchange via a quantum mediator

abstract:
  Coherent interactions at a distance provide a powerful tool for quantum
simulation and computation. The most common approach to realize an effective
long-distance coupling 'on-chip' is to use a quantum mediator, as has been
demonstrated for superconducting qubits and trapped ions. For quantum dot
arrays, which combine a high degree of tunability with extremely long coherence
times, the experimental demonstration of coherent spin-spin coupling via an
intermediary system remains an important outstanding goal. Here, we use a
linear triple-quantum-dot array to demonstrate a first working example of a
coherent interaction between two distant spins via a quantum mediator. The two
outer dots are occupied with a single electron spin each and the spins
experience a superexchange interaction through the empty middle dot which acts
as mediator. Using single-shot spin read-out we measure the coherent time
evolution of the spin states on the outer dots and observe a characteristic
dependence of the exchange frequency as a function of the detuning between the
middle and outer dots. This approach may provide a new route for scaling up
spin qubit circuits using quantum dots and aid in the simulation of materials
and molecules with non-nearest neighbour couplings such as MnO,
high-temperature superconductors and DNA. The same superexchange concept can
also be applied in cold atom experiments.


title:
Relativistic Fe K alpha line study in Seyfert 1 galaxies observed with
  Suzaku

abstract:
  We present an analysis of a sample of Seyfert 1 galaxies observed with
Suzaku. The aim of this work is to examine critically the evidence for a
relativistic Fe K alpha line in the X-ray spectra of these AGN. The sample was
compiled from those sources in which a relativistic component was missing in at
least one XMM-Newton observation. We analysed the Suzaku spectra of these
objects in order to have more constraints on the high energy emission,
including the Compton reflection hump. The results show that the relativistic
Fe K alpha line is detected (at >95% confidence) in all sources observed with
high signal-to-noise ratio (e.g. where the counts in the 5-7 keV energy band
are > 4 x 10^4). This is in agreement with the idea that relativistic lines are
a ubiquitous feature in the spectra of Seyfert galaxies, but are often
difficult to detect without very high quality data. We also investigate the
relation between the Fe K alpha line and the reflection continuum at high
energies. For most of the sample, the strength of the reflection component is
consistent with that of the line. There are exceptions in both senses, however
i.e. where the reflection continuum is strong but with weak line emission, and
vice versa. These observations present a challenge for standard reflection
models.


title: M\"obius Kondo Insulators

abstract:
  Heavy fermion materials have recently attracted attention for their potential
to combine topological protection with strongly correlated electron physics. To
date, the ideas of topological protection have been restricted to the heavy
fermion or "Kondo" insulators with the simplest point-group symmetries. Here we
argue that the presence of nonsymmorphic crystal symmetries in many heavy
fermion materials opens up a new family of topologically protected heavy
electron systems. Re-examination of archival resistivity measurements in
nonsymmorphic heavy fermion insulators Ce$_3$Bi$_4$Pt$_3$ and CeNiSn reveals
the presence of low temperature conductivity plateau, making them candidate
members of the new class of material. We illustrate our ideas with a specific
model for CeNiSn, showing how glide symmetries generate surface states with a
novel Mobius braiding that can be detected by ARPES or non-local conductivity
measurements. One of the interesting effects of strong correlation, is the
development of partially localization or "Kondo breakdown" on the surfaces,
which transforms Mobius surface states into quasi-one dimensional conductors,
with the potential for novel electronic phase transitions.


title:
All static and electrically charged solutions with Einstein base
  manifold in the arbitrary-dimensional Einstein-Maxwell system with a massless
  scalar field

abstract:
  We present a simple and complete classification of static solutions in the
Einstein-Maxwell system with a massless scalar field in arbitrary $n(\ge 3)$
dimensions. We consider spacetimes which correspond to a warped product $M^2
\times K^{n-2}$, where $K^{n-2}$ is a $(n-2)$-dimensional Einstein space. The
scalar field is assumed to depend only on the radial coordinate and the
electromagnetic field is purely electric. Suitable Ans\"atze enable us to
integrate the field equations in a general form and express the solutions in
terms of elementary functions. The classification with a non-constant real
scalar field consists of nine solutions for $n\ge 4$ and three solutions for
$n=3$. A complete geometric analysis of the solutions is presented and the
global mass and electric charge are determined for asymptotically flat
configurations. There are two remarkable features for the solutions with $n\ge
4$: (i) Unlike the case with a vanishing electromagnetic field or constant
scalar field, asymptotically flat solution is not unique, and (ii) The
solutions can asymptotically approach the Bertotti-Robinson spacetime depending
on the integrations constants. In accordance with the no-hair theorem, none of
the solutions are endowed of a Killing horizon.


title:
Active galactic nuclei at z~1.5: II. Black Hole Mass estimation by means
  of broad emission lines

abstract:
  This is the second in a series of papers aiming to test how the mass ($M_{\rm
BH}$), accretion rate ($\dot{M}$) and spin ($a_{*}$) of super massive black
holes (SMBHs) determine the observed properties of type-I active galactic
nuclei (AGN). Our project utilizes a sample of 39 unobscured AGN at
$z\simeq1.55$ observed by VLT/X-shooter, selected to map a large range in
$M_{\rm BH}$ and $L/L_{\rm edd}$ and covers the most prominent UV-optical
(broad) emission lines, including H$\alpha$, H$\beta$, MgII, and CIV. This
paper focuses on single-epoch, "virial" $M_{\rm BH}$ determinations from broad
emission lines and examines the implications of different continuum modeling
approaches in line width measurements. We find that using a "local" power-law
continuum instead of a physically-motivated thin disk continuum leads to only
slight underestimation of the FWHM of the lines and the associated $M_{\rm
BH}\left({\rm FWHM}\right)$. However, the line dispersion $\sigma_{\rm line}$
and associated $M_{\rm BH}\left(\sigma_{\rm line}\right)$ are strongly affected
by the continuum placement and provides less reliable mass estimates than
FWHM-based methods. Our analysis shows that H$\alpha$, H$\beta$ and MgII can be
safely used for virial $M_{\rm BH}$ estimation. The CIV line, on the other
hand, is not reliable in the majority of the cases, this may indicate that the
gas emitting this line is not virialized. While H$\alpha$ and H$\beta$ show
very similar line widths, the mean ${\rm FWHM\left(MgII\right)}$ is about 30%
narrower than ${\rm FWHM\left(H\beta\right)}$. We confirm several recent
suggestions to improve the accuracy in CIV-based mass estimates, relying on
other UV emission lines. Such improvements do not reduce the scatter between
CIV-based and Balmer-line-based mass estimates.


title:
The Topo-trigger: a new concept of stereo trigger system for imaging
  atmospheric Cherenkov telescopes

abstract:
  Imaging atmospheric Cherenkov telescopes (IACTs) such as the Major
Atmospheric Gamma-ray Imaging Cherenkov (MAGIC) telescopes endeavor to reach
the lowest possible energy threshold. In doing so the trigger system is a key
element. Reducing the trigger threshold is hampered by the rapid increase of
accidental triggers generated by ambient light, the so-called Night Sky
Background (NSB). In this paper we present a topological trigger, dubbed
Topo-trigger, which rejects events on the basis of their relative orientation
in the telescope cameras. We have simulated and tested the trigger selection
algorithm in the MAGIC telescopes. The algorithm was tested using MonteCarlo
simulations and shows a rejection of 85% of the accidental stereo triggers
while preserving 99 % of the gamma rays. A full implementation of this trigger
system would achieve an increase in collection area between 10 and 20% at the
energy threshold. The analysis energy threshold of the instrument is expected
to decrease by ~8 %. The selection algorithm was tested on real MAGIC data
taken with the current trigger configuration and no $\gamma$-like events were
found to be lost.


title:
Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional
  Hubbard Model

abstract:
  We study the two-dimensional (2D) Hubbard model using exact diagonalization
for spin-1/2 fermions on the triangular and honeycomb lattices decorated with a
single hexagon per site. In certain parameter ranges, the Hubbard model maps to
a quantum compass model on those lattices. On the triangular lattice, the
compass model exhibits collinear stripe antiferromagnetism, implying
$d$-density wave charge order in the original Hubbard model. On the honeycomb
lattice, the compass model has a unique, quantum disordered ground state that
transforms nontrivially under lattice reflection. The ground state of the
Hubbard model on the decorated honeycomb lattice is thus a 2D fermionic
symmetry-protected topological phase. This state -- protected by time-reversal
and reflection symmetries -- cannot be connected adiabatically to a
free-fermion topological phase.


title:
High-Energy Scatterings in Infinite-Derivative Field Theory and
  Ghost-Free Gravity

abstract:
  In this paper, we will consider scattering diagrams in the context of
infinite-derivative theories. First, we examine a finite-order
higher-derivative scalar field theory and find that we cannot eliminate the
external momentum divergences of scattering diagrams in the regime of large
external momenta. Then, we employ an infinite-derivative scalar toy model and
obtain that the external momentum dependence of scattering diagrams is
convergent as the external momenta become very large. In order to eliminate the
external momentum divergences, one has to dress the bare vertices of the
scattering diagrams by considering renormalised propagator and vertex loop
corrections to the bare vertices. Finally, we investigate scattering diagrams
in the context of a scalar toy model which is inspired by a
$\mathit{ghost-free}$ and $\mathit{singularity-free}$ infinite-derivative
theory of gravity, where we conclude that infinite derivatives can eliminate
the external momentum divergences of scattering diagrams and make the
scattering diagrams convergent in the ultraviolet.


title:
Distinguishing `disks' from `mergers': tracing the kinematic asymmetries
  in local (U)LIRGs using `kinemetry'-based criteria

abstract:
  The kinematic characterization of different galaxy populations is a key
observational input to distinguish between different galaxy evolutionary
scenarios, since it helps to determine the number ratio of rotating disks to
mergers at different cosmic epochs. Local (U)LIRGs offer a unique opportunity
to study at high linear resolution and S/N extreme star forming events and
compare them with those observed at high-z. We obtained Very Large Telescope
(VLT) VIMOS optical integral field spectroscopy (IFS) data of a sample of 38
(U)LIRGs. The `unweighted' and `weighted' {kinemetry}-based methods are used to
kinematically classify our galaxies in `disk' and `merger'. We simulate our
systems at z=3 to evaluate how a loss of angular resolution affects our
results. From the kinemetry-based analysis we are able classify our local
(U)LIRGs in three distinct kinematic groups according to their total kinematic
asymmetry values (K$_{tot}$) as derived when using the weighted (unweighted)
method: 1) 25 out of 50 galaxies are kinematically classified as `disk', with a
K$_{tot}\leq$ 0.16 (0.14); 2) 9 out of 50 galaxies are kinematically classified
as `merger', with a K$_{tot}\geq$ 0.94 (0.66); 3) 16 out of 50 galaxies lie in
the `transition region', in which disks and mergers coexist, with 0.16 (0.14)
$<$ K$_{tot}$ $<$ 0.94 (0.66). When we apply our criteria to the high-z
simulated systems, a lower total kinematic asymmetry frontier value (K$_{tot}$
$\sim$ 0.16 ($\sim$ 0.14)) is derived with respect to that found locally. The
loss of angular resolution smears out the kinematic features, thus making
objects to appear more kinematically regular than actually they are.


title: Anomalous Maxwell equations for inhomogeneous chiral plasma

abstract:
  Using the chiral kinetic theory we derive the electric and chiral current
densities in inhomogeneous relativistic plasma. We also derive equations for
the electric and chiral charge chemical potentials that close the Maxwell
equations in such a plasma. The analysis is done in the regimes with and
without a drift of the plasma as a whole. In addition to the currents present
in the homogeneous plasma (Hall current, chiral magnetic, chiral separation,
and chiral electric separation effects, as well as Ohm's current) we derive
several new terms associated with inhomogeneities of the plasma. Apart from
various diffusion-like terms, we find also new dissipation-less terms that are
independent of relaxation time. Their origin can be traced to the Berry
curvature modifications of the kinetic theory.


title: Remarks on inhomogeneous anisotropic cosmology

abstract:
  Recently a new no-global-recollapse argument was given for some inhomogeneous
and anisotropic cosmologies that utilizes surface deformation by the mean
curvature flow. In this paper we discuss important properties of the mean
curvature flow of spacelike surfaces in Lorentzian manifolds. We show that
singularities may form during cosmic evolution and the theorems forbidding the
global recollapse lose their validity. The time evolution of the spatial scalar
curvature that may kinematically prevent the recollapse is determined in normal
coordinates, which shows the impact of inhomogeneities explicitly. Our analysis
indicates a caveat in numerical solutions that give rise to inflation.


title:
Detection of symmetry-protected topological order in AKLT states by
  exact evaluation of the strange correlator

abstract:
  The strange correlator [Phys. Rev. Lett. 112, 247202 (2014)] has been
proposed as a measure of symmetry protected topological order in one- and
two-dimensional systems. It takes the form of a spin-spin correlation function,
computed as a mixed overlap between the state of interest and a trivial local
product state. We demonstrate that it can be computed exactly (asymptotically,
in the Monte Carlo sense) for various Affleck-Kennedy-Lieb-Tasaki states by
direct evaluation of the wave function within the valence bond loop gas
framework. We present results for lattices with chain, square, honeycomb, cube,
diamond, and hyperhoneycomb geometries. In each case, the spin quantum number S
is varied such that 2S (the number of valence bonds emerging from each site)
achieves various integer multiples of the lattice coordination number. We
introduce the concept of strange correlator loop winding number and point to
its utility in testing for the presence of symmetry protected topological
order.


title:
Top quark mass determination from the energy peaks of b-jets and
  B-hadrons at NLO QCD

abstract:
  We analyze the energy spectra of $single$ b-jets and B-hadrons resulting from
the production and decay of top quarks within the SM at the LHC at the NLO QCD.
For both hadrons and jets, we calculate the correlation of the peak of the
spectrum with the top quark mass, considering the "energy-peak" as an
observable to determine the top quark mass. Such a method is motivated by our
previous work where we argued that this approach can have reduced sensitivity
to the details of the production mechanism of the top quark, whether it is
higher-order QCD effects or new physics contributions. As part of the NLO
improvement over the original proposal, we assess the residual sensitivity of
the extracted top quark mass to perturbative effects both in top quark
production and decay. For a 1% jet energy scale uncertainty (and assuming
negligible statistical error), the top quark mass can then be extracted using
the energy-peak of b-jets with an error +- (1.2 (exp) + 0.6(th)) GeV. We note
that recently the CMS collaboration reported a top quark mass measurement based
on the original proposal (with b-jets) so that our result contributes to a
precise evaluation of the associated theory uncertainty. In view of the
dominant jet energy scale uncertainty in the measurement using b-jets, we also
investigate the extraction of the top quark mass from the energy-peak of the
corresponding B-hadrons which, in principle, can be measured without this
uncertainty. The calculation of the B-hadron energy spectrum is carried out
using fragmentation functions at NLO. The dependence on the fragmentation scale
turns out to be the largest theoretical uncertainty in this extraction of top
quark mass. Future improvement of the treatment of bottom quark hadronization
can reduce this uncertainty, rendering methods based on the B-hadron
energy-peak competitive for the top quark mass measurement.


title:
Radiation forces and torque on a rigid elliptical cylinder in acoustical
  plane progressive and (quasi)standing waves with arbitrary incidence

abstract:
  Analytical expressions for the axial and transverse acoustic radiation forces
as well as the radiation torque per length are derived for a rigid elliptical
cylinder placed arbitrarily in the field of in plane progressive,
quasi-standing or standing waves. The rigid elliptical cylinder case is
important to be considered as a first-order approximation of the behavior of a
fluid particle suspended in air, because of the significant acoustic impedance
mismatch at the particle's boundary. Based on the partial-wave series expansion
method in cylindrical coordinates, non-dimensional acoustic radiation force and
torque functions are derived and defined in terms of the scattering
coefficients of the elliptic cylinder. A coupled system of linear equations is
obtained after applying the Neumann boundary condition for an immovable surface
in a non-viscous fluid, and solved numerically by matrix inversion after
performing a single numerical integration procedure. Computational results for
the non-dimensional force components and torque, showing the transition from
the progressive to the (equi-amplitude) standing wave behavior, are performed
with particular emphasis on the aspect ratio a/b, where a and b are the
semi-axes of the ellipse, the dimensionless size parameter, as well as the
angle of incidence ranging from end-on to broadside incidence. The results show
that the elliptical geometry has a direct influence on the radiation force and
torque, so that the standard theory for circular cylinders (at normal
incidence) leads to significant miscalculations when the cylinder cross-section
becomes non-circular. Moreover, the elliptical cylinder experiences, in
addition to the acoustic radiation force, a radiation torque that vanishes for
the circular cylinder case. The application of the formalism presented here may
be extended to other 2D surfaces of arbitrary shape.


title: Solar Wind Charge Exchange contribution to the ROSAT All Sky Survey Maps

abstract:
  DXL (Diffuse X-ray emission from the Local Galaxy) is a sounding rocket
mission designed to estimate the contribution of Solar Wind Charge eXchange
(SWCX) to the Diffuse X-ray Background (DXB) and to help determine the
properties of the Local Hot Bubble (LHB). The detectors are large-area
thin-window proportional counters with a spectral response similar to that of
the PSPC used in the ROSAT All Sky Survey (RASS). A direct comparison of DXL
and RASS data for the same part of the sky viewed from quite different vantage
points in the Solar system and the assumption of approximate isotropy for the
Solar wind allowed us to quantify the SWCX contribution to all 6 RASS bands
(R1-R7, excepting R3). We find that the SWCX contribution at l=140 deg, b=0
deg, where the DXL path crosses the Galactic plane is 33%+-6%
(statistical)+-12%(systematic) for R1, 44%+-\%+-5% for R2, 18%+-12%+-11% for
R4, 14%+-11%+-9% for R5, and negligible for R6 and R7 bands. Reliable models
for the distribution of neutral H and He in the Solar system permit estimation
of the contribution of interplanetary SWCX emission over the the whole sky and
correction of the RASS maps. We find that the average SWCX contribution in the
whole sky is 26%+-6%+-13% for R1, 30%+-4%+-4% for R2, 8%+-5%+-5% for R4,
6%+-4%+-4% for R5, and negligible for R6 and R7.


title:
Optimized Sensor Collaboration for Estimation of Temporally Correlated
  Parameters

abstract:
  In this paper, we aim to design the optimal sensor collaboration strategy for
the estimation of time-varying parameters, where collaboration refers to the
act of sharing measurements with neighboring sensors prior to transmission to a
fusion center. We begin by addressing the sensor collaboration problem for the
estimation of uncorrelated parameters. We show that the resulting collaboration
problem can be transformed into a special nonconvex optimization problem, where
a difference of convex functions carries all the nonconvexity. This specific
problem structure enables the use of a convex-concave procedure to obtain a
near-optimal solution. When the parameters of interest are temporally
correlated, a penalized version of the convex-concave procedure becomes well
suited for designing the optimal collaboration scheme. In order to improve
computational efficiency, we further propose a fast algorithm that scales
gracefully with problem size via the alternating direction method of
multipliers. Numerical results are provided to demonstrate the effectiveness of
our approach and the impact of parameter correlation and temporal dynamics of
sensor networks on estimation performance.


title:
A Practical Bias Estimation Algorithm for Multisensor--Multitarget
  Tracking

abstract:
  Bias estimation or sensor registration is an essential step in ensuring the
accuracy of global tracks in multisensor-multitarget tracking. Most previously
proposed algorithms for bias estimation rely on local measurements in
centralized systems or tracks in distributed systems, along with additional
information like covariances, filter gains or targets of opportunity. In
addition, it is generally assumed that such data are made available to the
fusion center at every sampling time. In practical distributed multisensor
tracking systems, where each platform sends local tracks to the fusion center,
only state estimates and, perhaps, their covariances are sent to the fusion
center at non-consecutive sampling instants or scans. That is, not all the
information required for exact bias estimation at the fusion center is
available in practical distributed tracking systems. In this paper, a new
algorithm that is capable of accurately estimating the biases even in the
absence of filter gain information from local platforms is proposed for
distributed tracking systems with intermittent track transmission. Through the
calculation of the Posterior Cram\'er--Rao lower bound and various simulation
results, it is shown that the performance of the new algorithm, which uses the
tracklet idea and does not require track transmission at every sampling time or
exchange of filter gains, can approach the performance of the exact bias
estimation algorithm that requires local filter gains.


title: Multisensor--Multitarget Bearing--Only Sensor Registration

abstract:
  Bearing--only estimation is one of the fundamental and challenging problems
in target tracking. As in the case of radar tracking, the presence of offset or
position biases can exacerbate the challenges in bearing--only estimation.
Modeling various sensor biases is not a trivial task and not much has been done
in the literature specifically for bearing--only tracking. This paper addresses
the modeling of offset biases in bearing--only sensors and the ensuing
multitarget tracking with bias compensation. Bias estimation is handled at the
fusion node to which individual sensors report their local tracks in the form
of associated measurement reports (AMR) or angle-only tracks. The modeling is
based on a multisensor approach that can effectively handle a time--varying
number of targets in the surveillance region. The proposed algorithm leads to a
maximum likelihood bias estimator. The corresponding Cram\'er--Rao Lower Bound
to quantify the theoretical accuracy that can be achieved by the proposed
method or any other algorithm is also derived. Finally, simulation results on
different distributed tracking scenarios are presented to demonstrate the
capabilities of the proposed approach. In order to show that the proposed
method can work even with false alarms and missed detections, simulation
results on a centralized tracking scenario where the local sensors send all
their measurements (not AMRs or local tracks) are also presented.


title:
On sector magnets or transverse electromagnetic fields in cylindrical
  coordinates

abstract:
  The Laplace's equations for the scalar and vector potentials describing
electric or magnetic fields in cylindrical coordinates with translational
invariance along azimuthal coordinate are considered. The series of special
functions which, when expanded in power series in radial and vertical
coordinates, in lowest order replicate the harmonic homogeneous polynomials of
two variables are found. These functions are based on radial harmonics found by
Edwin~M.~McMillan in his more-than-40-years "forgotten" article, which will be
discussed. In addition to McMillan's harmonics, second family of adjoint radial
harmonics is introduced, in order to provide symmetric description between
electric and magnetic fields and to describe fields and potentials in terms of
same special functions. Formulas to relate any transverse fields specified by
the coefficients in the power series expansion in radial or vertical planes in
cylindrical coordinates with the set of new functions are provided.
  This result is no doubt important for potential theory while also critical
for theoretical studies, design and proper modeling of sector dipoles, combined
function dipoles and any general sector element for accelerator physics. All
results are presented in connection with these problems.


title: Mechanical Bounds to Transcriptional Noise

abstract:
  Over the last several decades it has been increasingly recognized that
stochastic processes play a central role in transcription. Though many
stochastic effects have been explained, the source of transcriptional bursting
(one of the most well-known sources of stochasticity) has continued to evade
understanding. Recent results have pointed to mechanical feedback as the source
of transcriptional bursting but a reconciliation of this perspective with
preexisting views of transcriptional regulation is lacking. In this letter we
present a simple phenomenological model which is able to incorporate the
traditional view of gene expression within a framework with mechanical limits
to transcription. Our model explains the emergence of universal properties of
gene expression, wherein the lower limit of intrinsic noise necessarily rises
with mean expression level.


title: The $Q_k$ flow on complete non-compact graphs

abstract:
  We consider the $Q_k$ flow on complete non-compact graphs. We prove that a
complete graph evolves by the $Q_k$ curvature up to some time $T$ depending on
the radius of a sphere enclosed by the initial graph.


title: Uniaxially stressed germanium with fundamental direct band gap

abstract:
  We demonstrate the crossover from indirect- to direct band gap in
tensile-strained germanium by temperature-dependent photoluminescence. The
samples are strained microbridges that enhance a biaxial strain of 0.16% up to
3.6% uniaxial tensile strain. Cooling the bridges to 20 K increases the
uniaxial strain up to a maximum of 5.4%. Temperature-dependent
photoluminescence reveals the crossover to a fundamental direct band gap to
occur between 4.0% and 4.5%. Our data are in good agreement with new
theoretical computations that predict a strong bowing of the band parameters
with strain.


title:
Modelling of artefacts in estimations of particle size of needle-like
  particles from laser diffraction measurements

abstract:
  Manufacturing of particulate products across many industries relies on
accurate measurements of particle size distributions in dispersions or powders.
Laser diffraction (or small angle light scattering) is commonly used, usually
off-line, for particle size measurements. The estimation of particle sizes by
this method requires the solution of an inverse problem using a suitable
scattering model that takes into account size, shape and optical properties of
the particles. However, laser diffraction instruments are usually accompanied
by software that employs a default scattering model for spherical particles,
which is then used to solve the inverse problem even though a significant
number of particulate products occur in strongly non-spherical shapes such as
needles. In this work, we demonstrate that using the spherical model for the
estimation of sizes of needle-like particles can lead to the appearance of
artefacts in the form of multimodal populations of particles with size modes
much smaller than those actually present in the sample. This effect can result
in a significant under-estimation of the mean particle size and in false modes
in estimated particles size distributions.


title:
A representation theoretic characterization of simple closed curves on a
  surface

abstract:
  We produce a sequence of finite dimensional representations of the
fundamental group $\pi_1(S)$ of a closed surface where all simple closed curves
act with finite order, but where each non--simple closed curve eventually acts
with infinite order. As a consequence, we obtain a representation theoretic
algorithm which decides whether or not a given element of $\pi_1(S)$ is freely
homotopic to a simple closed curve. The construction of these representations
combines ideas from TQFT representations of mapping class groups with effective
versions of LERF for surface groups.


title: New class of hybrid EoS and Bayesian M-R data analysis

abstract:
  We explore systematically a new class of two-phase equations of state (EoS)
for hybrid stars that is characterized by three main features : (1) stiffening
of the nuclear EoS at supersaturation densities due to quark exchange effects
(Pauli blocking) between hadrons, modelled by an excluded volume correction,
(2) stiffening of the quark matter EoS at high densities due to multiquark
interactions and (3) possibility for a strong first order phase transition with
an early onset and large density jump. The third feature results from a Maxwell
construction for the possible transition from the nuclear to a quark matter
phase and its properties depend on the two parameters used for (1) and (2),
respectively. Varying these two parameters one obtains a class of hybrid EoS
that yields solutions of the Tolman-Oppenheimer-Volkoff (TOV) equations for
sequences of hadronic and hybrid stars in the mass-radius diagram which cover
the full range of patterns according to the Alford-Han-Prakash classification
following which a hybrid star branch can be either absent, connected or
disconnected with the hadronic one. The latter case often includes a tiny
connected branch. The disconnected hybrid star branch, also called "third
family", corresponds to high-mass twin stars characterized by the same
gravitational mass but different radii. We perform a Bayesian analysis and
demonstrate that the observation of such a pair of high-mass twin stars would
have a sufficient discriminating power to favor hybrid EoS with a strong first
order phase transition over alternative EoS.


title: Financial contagion in investment funds

abstract:
  Many new models for measuring financial contagion have been presented
recently. While these models have not been specified for investment funds
directly, there are many similarities that could be explored to extend the
models. In this work we explore ideas developed about financial contagion to
create a network of investment funds using both cross-holding of quotas and a
bipartite network of funds and assets. Using data from the Brazilian asset
management market we analyze not only the contagion pattern but also the
structure of this network and how this model can be used to assess the
stability of the market.


title:
Experimental evidence for hotspot and phase-slip mechanisms of voltage
  switching in ultra-thin YBa2Cu3O7-x nanowires

abstract:
  We have fabricated ultra-thin YBa2Cu3O7-x nanowires with a high critical
current density and studied their voltage switching behavior in the 4.2 - 90 K
temperature range. A comparison of our experimental data with theoretical
models indicates that, depending on the temperature and nanowire cross section,
voltage switching originates from two different mechanisms: hotspot-assisted
suppression of the edge barrier by the transport current and the appearance of
phase-slip lines in the nanowire. Our observation of hotspot-assisted voltage
switching is in good quantitative agreement with predictions based on the
Aslamazov-Larkin model for an edge barrier in a wide superconducting bridge.


title:
Confocal laser scanning microscopy image correlation for nanoparticle
  flow velocimetry

abstract:
  We present a new particle image correlation technique for resolving
nanoparticle flow velocity using confocal laser scanning microscopy (CLSM). The
two primary issues that complicate nanoparticle scanning laser image
correlation (SLIC) based velocimetry are (1) the use of diffusion dominated
nanoparticles as flow tracers, which introduce a random decorrelating error
into the velocity estimate, and (2) the effects of the scanning laser image
acquisition, which introduces a bias error. To date, no study has quantified
these errors or demonstrated a means to deal with them in SLIC velocimetry. In
this work, we build upon the robust phase correlation (RPC) and existing
methods of SLIC to quantify and mitigate these errors. First, we implement an
ensemble RPC instead of using an ensemble standard cross correlation, and
develop an SLIC optimal filter that maximizes the correlation strength in order
to reliably and accurately detect the correlation peak representing the most
probable average displacement of the nanoparticles. Secondly, we developed an
analytical model of the SLIC measurement bias error due to image scanning of
diffusion dominated tracer particles. We show that the bias error depends only
on the ratio of the mean velocity of the tracer particles to that of the laser
scanner and we use this model to correct the induced errors. We validated our
technique using synthetic images and experimentally obtained SLIC images of
nanoparticle flow through a micro-channel. Our technique reduced the error by
up to a factor of ten compared to other SLIC algorithms for the images tested
in this study. Moreover, our optimized RPC filter is reducing the number of
image pairs required for the convergence of the ensemble correlation by two
orders of magnitude compared to the standard cross correlation.


title: Graph Balancing for Distributed Subgradient Methods over Directed Graphs

abstract:
  We consider a multi agent optimization problem where a set of agents
collectively solves a global optimization problem with the objective function
given by the sum of locally known convex functions. We focus on the case when
information exchange among agents takes place over a directed network and
propose a distributed subgradient algorithm in which each agent performs local
processing based on information obtained from his incoming neighbors. Our
algorithm uses weight balancing to overcome the asymmetries caused by the
directed communication network, i.e., agents scale their outgoing information
with dynamically updated weights that converge to balancing weights of the
graph. We show that both the objective function values and the consensus
violation, at the ergodic average of the estimates generated by the algorithm,
converge with rate $O(\frac{\log T}{\sqrt{T}})$, where $T$ is the number of
iterations. A special case of our algorithm provides a new distributed method
to compute average consensus over directed graphs.


title: Conformal Gauge-Yukawa Theories away From Four Dimensions

abstract:
  We present the phase diagram and associated fixed points for a wide class of
Gauge-Yukawa theories in $d=4+\epsilon$ dimensions. The theories we investigate
involve non-abelian gauge fields, fermions and scalars in the Veneziano-Witten
limit. The analysis is performed in steps, we start with QCD$_d$ and then we
add Yukawa interactions and scalars which we study at next-to- and
next-to-next-to-leading order. Interacting infrared fixed points naturally
emerge in dimensions lower than four while ultraviolet ones appear above four.
We also analyse the stability of the scalar potential for the discovered fixed
points. We argue for a very rich phase diagram in three dimensions while in
dimensions higher than four certain Gauge-Yukawa theories are ultraviolet
complete because of the emergence of an asymptotically safe fixed point.


title:
Generalizing The Morley Trisector and Various Theorems with
  Realizability Computations

abstract:
  An approach is shown that proves various theorems of plane geometry in an
algorithmic manner. The approach affords transparent proofs of a generalization
of the Theorem of Morley and other well known results by casting them in terms
of constraint satisfaction.


title:
Recovery of signals under the high order RIP condition via prior support
  information

abstract:
  In this paper we study the recovery conditions of weighted $l_{1}$
minimization for signal reconstruction from incomplete linear measurements when
partial prior support information is available. We obtain that a high order RIP
condition can guarantee stable and robust recovery of signals in bounded
$l_{2}$ and Dantzig selector noise settings. Meanwhile, we not only prove that
the sufficient recovery condition of weighted $l_{1}$ minimization method is
weaker than that of standard $l_{1}$ minimization method, but also prove that
weighted $l_{1}$ minimization method provides better upper bounds on the
reconstruction error in terms of the measurement noise and the compressibility
of the signal, provided that the accuracy of prior support estimate is at least
$50\%$. Furthermore, the condition is proved sharp.


title:
Recovery of signals under the condition on RIC and ROC via prior support
  information

abstract:
  In this paper, the sufficient condition in terms of the RIC and ROC for the
stable and robust recovery of signals in both noiseless and noisy settings was
established via weighted $l_{1}$ minimization when there is partial prior
information on support of signals. An improved performance guarantee has been
derived.
  We can obtain a less restricted sufficient condition for signal
reconstruction and a tighter recovery error bound under some conditions via
weighted $l_{1}$ minimization. When prior support estimate is at least $50\%$
accurate, the sufficient condition is weaker than the analogous condition by
standard $l_{1}$ minimization method, meanwhile the reconstruction error upper
bound is provably to be smaller under additional conditions. Furthermore, the
sufficient condition is also proved sharp.


title:
On the behaviors of rough multilinear fractional integral and
  multi-sublinear fractional maximal operators both on product L^{p} and
  weighted L^{p} spaces

abstract:
  The aim of this paper is to get the product Lp-estimates, weighted estimates
and two-weighted estimates for rough multilinear fractional integral operators
and rough multi-sublinear fractional maximal operators, respectively. The
author also studies two-weighted weak type estimate on product Lp (Rn) for
rough multi-sublinear fractional maximal operators. In fact, this article is
the rough kernel versions of [4, 5]' s results.


title:
Curves between Lipschitz and $C^1$ and their relation to geometric knot
  theory

abstract:
  In this article we investigate regular curves whose derivatives have
vanishing mean oscillations. We show that smoothing these curves using a
standard mollifier one gets regular curves again.
  We apply this result to solve a couple of open problems. We show that curves
with finite M\"obius energy can be approximated by smooth curves in the energy
space $W^{\frac 32,2}$ such that the energy converges which answers a question
of He. Furthermore, we extend the result of Scholtes on the
$\Gamma$-convergence of the discrete M\"obius energies towards the M\"obius
energy and prove conjectures of Ishizeki and Nagasawa on certain parts of a
decomposition of the M\"obius energy. Finally, we extend a theorem of Wu on
inscribed polygons to curves with derivatives with vanishing mean oscillation


title:
The singular values of the logarithmic potential transform on bound
  states spaces of Landau Hamiltonian

abstract:
  The singular values of the logarithmic potential transform on the generalized
Bergmann space is calculated explicitly, too behavior in infinity


title:
Vanishing generalized Morrey spaces and commutators of Marcinkiewicz
  integrals with rough kernel associated with Schr\"odinger operator

abstract:
  Let L=-{\Delta}+V(x) be a Schrodinger operator, where {\Delta} is the
Laplacian on while nonnegative potential V(x) belonging to the reverse Holder
class. We establish the boundedness of the commutators of Marcinkiewicz
integrals with rough kernel associated with Schrodinger operator on vanishing
generalized Morrey spaces.