title:
Super-Massive Stars as a Source of Abundance Anomalies of Proton-Capture
  Elements in Globular Clusters

abstract:
  We propose that the abundance anomalies of proton-capture elements in
globular clusters, such as the C-N, Na-O, Mg-Al and Na-F anti-correlations,
were produced by super-massive stars with M ~ 10,000 Msun. Such stars could
form in the runaway collisions of massive stars that sank to the cluster center
as a result of dynamical friction, or via the direct monolithic collapse of the
low-metallicity gas cloud from which the cluster formed. To explain the
observed abundance anomalies, we assume that the super-massive stars had lost
significant parts of their initial masses when only a small mass fraction of
hydrogen, Delta X ~ 0.15, was transformed into helium. We speculate that the
required mass loss might be caused by the super-Eddington radiation
continuum-driven stellar wind or by the diffusive mode of the Jeans
instability.


title: A Polynomial Time Algorithm for the Hamilton Circuit Problem

abstract:
  In this paper, we introduce a so-called Multistage graph Simple Path (MSP)
problem and show that the Hamilton Circuit (HC) problem can be polynomially
reducible to the MSP problem. To solve the MSP problem, we propose a polynomial
algorithm and prove its NP-completeness. Our result implies NP=P.


title:
Interacting Multiple Model-Feedback Particle Filter for Stochastic
  Hybrid Systems

abstract:
  In this paper, a novel feedback control-based particle filter algorithm for
the continuous-time stochastic hybrid system estimation problem is presented.
This particle filter is referred to as the interacting multiple model-feedback
particle filter (IMM-FPF), and is based on the recently developed feedback
particle filter. The IMM-FPF is comprised of a series of parallel FPFs, one for
each discrete mode, and an exact filter recursion for the mode association
probability. The proposed IMM-FPF represents a generalization of the
Kalmanfilter based IMM algorithm to the general nonlinear filtering problem.
  The remarkable conclusion of this paper is that the IMM-FPF algorithm retains
the innovation error-based feedback structure even for the nonlinear problem.
The interaction/merging process is also handled via a control-based approach.
The theoretical results are illustrated with the aid of a numerical example
problem for a maneuvering target tracking application.


title:
Giant magnetic anisotropy of transition-metal dimers on defected
  graphene

abstract:
  Continuous miniaturization of magnetic units in spintronics and quantum
computing devices inspires efforts to search for magnetic nanostructures with
large magnetic anisotropy energy (MAE). Typical nanostructures including
molecular magnets, magnetic nanoclusters and magnetic nanowires have MAEs of a
few meV so their blocking temperature is mostly lower than 50 K. In this work,
we demonstrated the feasibility of achieving giant MAE in systems with
transition metal dimers on defected and decorated graphene, based on density
functional theory calculations. In particular, either a Pt-Ir dimer on a single
vacancy or an Os-Ru dimer on a nitrogen-decorated divacancy possesses an MAE
larger than 60 meV and high structural stability. Interestingly, their magnetic
anisotropy can be conveniently manipulated by using external electric field.
These features make them good candidates for the use in room temperature
spintronics and quantum computing devices.


title:
The CERN LHC Sensitivity on measuring WZGamma Production and Anomalous
  WWZGamma Coupling

abstract:
  In this paper we present for the first time a detailed Monte Carlo study of
measuring WZGamma production with pure leptonic decays and probing anomalous
quartic gauge-boson WWZGamma couplings at the sqrt(s) = 14 TeV LHC, with parton
shower and detector simulation effects taken into account. We find that with an
integrated luminosity of 100 fb-1 and proper selection cuts, the Standard Model
WZGamma signal significance can be improved to as much as 3 sigma. After
reviewing previous parametrization on anomalous WWZGamma couplings (see
e.g.an/Lambda^2 or k2m/Lambda^2 as shown in Ref. [17]), we propose a more
general parametrization scheme with 4 free inputs leading only to genuine
WWZGamma aQGC couplings. Finally, our numerical results show that one can reach
constraints at 95% confidence level of -5.7 * 10^{-5} GeV^{-2} < k2m/Lambda^2 <
5.5 * 10^{-5} GeV^{-2} and -2.2 x 10^{-5} GeV^{-2} < an/Lambda^2 < 2.4 *
10^{-5} GeV^{-2}, which are more stringent than LEP's results by three orders
of magnitude.


title:
Suzaku View of the Swift/BAT Active Galactic Nuclei. V. Torus Structure
  of Two Luminous Radio-loud AGNs (3C 206 and PKS 0707-35)

abstract:
  We present the results from broad-band X-ray spectral analysis of 3C 206 and
PKS 0707-35 with Suzaku and Swift/BAT, two of the most luminous unobscured and
obscured radio-loud active galactic nuclei with hard X-ray luminosities of
10^{45.5} erg s^{-1} and 10^{44.9} erg s^{-1} (14--195 keV), respectively.
Based on the radio core luminosity, we estimate that the X-ray spectrum of 3C
206 contains a significant (~ 60% in the 14--195 keV band) contribution from
the jet, while it is negligible in PKS 0707-35. We can successfully model the
spectra with the jet component (for 3C 206), the transmitted emission, and two
reflection components from the torus and the accretion disk. The reflection
strengths from the torus are found to be R_{torus} (= \Omega/2\pi) = 0.29 +-
0.18 and 0.41 +- 0.18 for 3C 206 and PKS 0707-35, respectively, which are
smaller than those in typical Seyfert galaxies. Utilizing the torus model by
Ikeda et al. (2009), we quantify the relation between the half opening angle of
a torus (\theta_{oa}) and the equivalent width of an iron-K line. The observed
equivalent width of 3C 206, < 71 eV, constrain the column density in the
equatorial plane to N_{H}^{eq} < 10^{23} cm^{-2}, or the half opening angle to
\theta_{oa} > 80^\circ if N_{H}^{eq} = 10^{24} cm^{-2} is assumed. That of PKS
0707-35, 72 +- 36 eV, is consistent with N_{H}^{eq} ~ 10^{23} cm^{-2}. Our
results suggest that the tori in luminous radio-loud AGNs are only poorly
developed. The trend is similar to that seen in radio-quiet AGNs, implying that
the torus structure is not different between AGNs with jets and without jets.


title: Query Representation with Global Consistency on User Click Graph

abstract:
  Extensive research has been conducted on query log analysis. A query log is
generally represented as a bipartite graph on a query set and a URL set. Most
of the traditional methods used the raw click frequency to weigh the link
between a query and a URL on the click graph. In order to address the
disadvantages of raw click frequency, researchers proposed the entropy-biased
model, which incorporates raw click frequency with inverse query frequency of
the URL as the weighting scheme for query representation. In this paper, we
observe that the inverse query frequency can be considered a global property of
the URL on the click graph, which is more informative than raw click frequency,
which can be considered a local property of the URL. Based on this insight, we
develop the global consistency model for query representation, which utilizes
the click frequency and the inverse query frequency of a URL in a consistent
manner. Furthermore, we propose a new scheme called inverse URL frequency as an
effective way to capture the global property of a URL. Experiments have been
conducted on the AOL search engine log data. The result shows that our global
consistency model achieved better performance than the current models.


title: Stimulated Phonon Emission in a Driven Double Quantum Dot

abstract:
  The compound semiconductor gallium arsenide (GaAs) provides an ultra-clean
platform for storing and manipulating quantum information, encoded in the
charge or spin states of electrons confined in nanostructures. The absence of
inversion symmetry in the zinc-blende crystal structure of GaAs however,
results in strong piezoelectric coupling between lattice acoustic phonons and
electrons, a potential hindrance for quantum computing architectures that can
be charge-sensitive during certain operations. Here we examine phonon
generation in a GaAs double dot, configured as a single- or two-electron charge
qubit, and driven by the application of microwaves via surface gates. In a
process that is a microwave analog of the Raman effect, stimulated phonon
emission is shown to produce population inversion of a two-level system and
provides spectroscopic signatures of the phononic environment created by the
nanoscale device geometry.


title: Nonlinearity Induced Critical Coupling

abstract:
  We study a critically coupled system (Opt. Lett., \textbf{32}, 1483 (2007))
with a Kerr-nonlinear spacer layer. Nonlinearity is shown to inhibit
null-scattering in a critically coupled system at low powers. However, a system
detuned from critical coupling can exhibit near-complete suppression of
scattering by means of nonlinearity-induced changes in refractive index. Our
studies reveal clearly an important aspect of critical coupling as a delicate
balance in both the amplitude and the phase relations, while a nonlinear
resonance in dispersive bistability concerns only the phase.


title: Tracker coupled quintessence

abstract:
  In this paper two tracker solutions for conformally coupled quintessence
model is obtained. The first solution is determined by dividing the evolution
of the universe to matter and dark energy dominated epochs and then the allowed
bound on the equation of state parameter is obtained, such that a tracker
behaviour is resulted. For the other solution, the quintessence potential is
assumed to be a linear combination of two exponential functions. Then we have
found an exact solution which can be tracker by adjusting some parameters.


title:
Partially random phase attack to the practical two-way
  quantum-key-distribution system

abstract:
  Phase randomization is a very important assumption in the Bennett-Brassard
1984 quantum key distribution (QKD) system with a weak coherent source. Thus an
active phase modulator is needed to randomize the phase of source. However, it
is hard to check whether the phase of source is randomized totally or not in
practical QKD systems. In this paper a partially random phase attack is
proposed to exploit this imperfection. Our analysis shows that Eve can break
the security of a two-way QKD system by using our attack, even if an active
phase randomization is adopted by Alice. Furthermore, the numerical simulation
shows that in some parameter regimes, our attack is immune to the
one-decoy-state method.


title:
Single-photon-detection attack on the phase-coding continuous-variable
  quantum cryptography

abstract:
  The phase-coding quantum cryptographic scheme using the homodyne detection
and weak coherent state [Hirano et al.,Phys. Rev. A 68, 042331 (2003)] provides
the simplest continuous-variable quantum key distribution scheme from the
experimental side. However, the inherent loss of the practical system will not
only increase the bit error rate (BER) but also affect the security of the
final key. In this paper, we propose a single-photon-detection attack, and then
the security of the final key will be compromised in some parameter regimes.
Our results show that the BER induced by Eve can be lower than the inherent BER
induced by the loss of the system in some parameter regimes. Furthermore, our
attack gives the maximal communication distance of this scheme for given
experimental parameters.


title: A Martingale approach to metastability

abstract:
  We presented in \cite{bl2,bl7} an approach to derive the metastable behavior
of continuous-time Markov chains. We assumed in these articles that the Markov
chains visit points in the time scale in which it jumps among the metastable
sets. We replace this condition here by assumtpions on the mixing times and on
the relaxation times of the chains reflected at the boundary of the metastable
sets.


title:
Regularity and existence of global solutions to the Ericksen-Leslie
  system in $\mathbb R^2$

abstract:
  In this paper, we first establish the regularity theorem for suitable weak
solutions to the Ericksen-Leslie system in dimensions two. Building on such a
regularity, we then establish the existence of a global weak solution to the
Ericksen-Leslie system in $\mathbb R^2$ for any initial data in the energy
space, under the physical constraint conditions on the Leslie coefficients
ensuring the dissipation of energy of the system, which is smooth away from at
most finitely many times. This extends earlier works by Lin,Lin, and Wang on a
simplified nematic liquid crystal flow in dimensions two.


title:
Optimised quantum hacking of superconducting nanowire single-photon
  detectors

abstract:
  We explore bright-light control of superconducting nanowire single-photon
detectors (SNSPDs) in the shunted configuration (a practical measure to avoid
latching). In an experiment, we simulate an illumination pattern the SNSPD
would receive in a typical quantum key distribution system under hacking
attack. We show that it effectively blinds and controls the SNSPD. The
transient blinding illumination lasts for a fraction of a microsecond and
produces several deterministic fake clicks during this time. This attack does
not lead to elevated timing jitter in the spoofed output pulse, and hence does
not introduce significant errors. Five different SNSPD chip designs were
tested. We consider possible countermeasures to this attack.


title:
Two properties of vectors of quadratic forms in Gaussian random
  variables

abstract:
  We study distributions of random vectors whose components are second order
polynomials in Gaussian random variables. Assuming that the law of such a
vector is not absolutely continuous with respect to Lebesgue measure, we derive
some interesting consequences. Our second result gives a characterization of
limits in law for sequences of such vectors.


title:
Final spin and radiated energy in numerical simulations of binary black
  holes with equal masses and equal, aligned or anti-aligned spins

abstract:
  The behavior of merging black holes (including the emitted gravitational
waves and the properties of the remnant) can currently be computed only by
numerical simulations. This paper introduces ten numerical relativity
simulations of binary black holes with equal masses and equal spins aligned or
anti-aligned with the orbital angular momentum. The initial spin magnitudes
have $|\chi_i| \lesssim 0.95$ and are more concentrated in the aligned
direction because of the greater astrophysical interest of this case. We
combine this data with five previously reported simulations of the same
configuration, but with different spin magnitudes, including the highest spin
simulated to date, $\chi_i \approx 0.97$. This data set is sufficiently
accurate to enable us to offer improved analytic fitting formulae for the final
spin and for the energy radiated by gravitational waves as a function of
initial spin. The improved fitting formulae can help to improve our
understanding of the properties of binary black hole merger remnants and can be
used to enhance future approximate waveforms for gravitational wave searches,
such as Effective-One-Body waveforms.


title: Strong Coordination over a Line Network

abstract:
  We study the problem of strong coordination in a three-terminal line network,
in which agents use common randomness and communicate over a line network to
ensure that their actions follow a prescribed behavior, modeled by a target
joint distribution of actions. We provide inner and outer bounds to the
coordination capacity region, and show that these bounds are partially optimal.
We leverage this characterization to develop insight into the interplay between
communication and coordination. Specifically, we show that common randomness
helps to achieve optimal communication rates between agents, and that matching
the network topology to the behavior structure may reduce inter-agent
communication rates.


title:
Geodesic Vector fields of invariant $(\alpha,\beta)$-metrics on
  Homogeneous spaces

abstract:
  In this paper we show that for an invariant $(\alpha,\beta)-$metric $F$ on a
homogeneous Finsler manifold $\frac{G}{H}$, induced by an invariant Riemannian
metric $\tilde{a}$ and an invariant vector field $\tilde{X}$, the vector
$X=\tilde{X}(H)$ is a geodesic vector of $F$ if and only if it is a geodesic
vector of $\tilde{a}$. Then we give some conditions such that under them, an
arbitrary vector is a geodesic vector of $F$ if and only if it is a geodesic
vector of $\tilde{a}$. Finally we give an explicit formula for the flag
curvature of bi-invariant $(\alpha,\beta)-$metrics on connected Lie groups.


title: Naturally reductive homogeneous $(\alpha,\beta)$-metric spaces

abstract:
  In the present paper we study naturally reductive homogeneous
$(\alpha,\beta)$-metric spaces. Under some conditions, we give some necessary
and sufficient conditions for a homogeneous $(\alpha,\beta)$-metric space to be
naturally reductive. Then we show that for such spaces the two definitions of
naturally reductive homogeneous Finsler space, given in literature, are
equivalent. Finally we compute the flag curvature of naturally reductive
homogeneous $(\alpha,\beta)$-metric spaces.


title: Anderson localisation in laser kicked molecules

abstract:
  The paper explores the prospects of observing the phenomenon of dynamical
Anderson localisation via non-resonant Raman-type rotational excitation of
molecules by periodic trains of short laser pulses. We define conditions for
such an experiment, and show that current femtosecond technology used for
non-adiabatic laser alignment of linear molecules is sufficient for this task.
Several observables which can serve as indicator for Anderson localisation are
suggested for measurement, and the influence of experimental limitations
imposed by laser intensity noise, finite pulse duration, limited number of
pulses in a train, and thermal effects is analysed.


title: Two new families of Finsler connections on even-dimensional manifolds

abstract:
  Let $F^{2n}=(M,M',F^{\ast})$ be an even-dimensional pseudo-Finsler manifold.
We construct an almost hypercomplex structure on any chart domain of a certain
atlas of $M'$ by using a considered non-linear connection. Then by using the
almost hypercomplex structure we define two new families of Finsler
connections. Also we show that for any Finsler connection $\nabla$ there exists
a linear connection $D$ such that the local almost hypercomplex structure is
parallel with respect to it.


title:
On the left invariant Randers and Matsumoto metrics of Berwald type on
  3-dimensional Lie groups

abstract:
  In this paper we identify all simply connected 3-dimensional real Lie groups
which admit Randers or Matsumoto metrics of Berwald type with a certain
underlying left invariant Riemannian metric. Then we give their flag curvatures
formulas explicitly.


title:
Integrality gaps for strengthened LP relaxations of Capacitated and
  Lower-Bounded Facility Location

abstract:
  The metric uncapacitated facility location problem (UFL) enjoys a special
stature in approximation algorithms as a testbed for various techniques. Two
generalizations of UFL are capacitated facility location (CFL) and
lower-bounded facility location (LBFL). In the former, every facility has a
capacity which is the maximum demand that can be assigned to it, while in the
latter, every open facility is required to serve a given minimum amount of
demand. Both CFL and LBFL are approximable within a constant factor but their
respective natural LP relaxations have an unbounded integrality gap. According
to Shmoys and Williamson, the existence of a relaxation-based algorithm for CFL
is one of the top 10 open problems in approximation algorithms.
  In this paper we give the first results on this problem. We provide
substantial evidence against the existence of a good LP relaxation for CFL by
showing unbounded integrality gaps for two families of strengthened
formulations.
  The first family we consider is the hierarchy of LPs resulting from repeated
applications of the lift-and-project Lov\'{a}sz-Schrijver procedure starting
from the standard relaxation. We show that the LP relaxation for CFL resulting
after $\Omega(n)$ rounds, where $n$ is the number of facilities in the
instance, has unbounded integrality gap. Note that the Lov\'{a}sz-Schrijver
procedure is known to yield an exact formulation for CFL in at most $n$ rounds.
  We also introduce the family of proper relaxations which generalizes to its
logical extreme the classic star relaxation, an equivalent form of the natural
LP. We characterize the integrality gap of proper relaxations for both LBFL and
CFL and show a threshold phenomenon under which it decreases from unbounded to
1.


title:
On a difficulty in the formulation of initial and boundary conditions
  for eigenfunction expansion solutions for the start-up of fluid flow

abstract:
  Most mathematics and engineering textbooks describe the process of
"subtracting off" the steady state of a linear parabolic partial differential
equation as a technique for obtaining a boundary-value problem with homogeneous
boundary conditions that can be solved by separation of variables (i.e.,
eigenfunction expansions). While this method produces the correct solution for
the start-up of the flow of, e.g., a Newtonian fluid between parallel plates,
it can lead to erroneous solutions to the corresponding problem for a class of
non-Newtonian fluids. We show that the reason for this is the non-rigorous
enforcement of the start-up condition in the textbook approach, which leads to
a violation of the principle of causality. Nevertheless, these boundary-value
problems can be solved correctly using eigenfunction expansions, and we present
the formulation that makes this possible (in essence, an application of
Duhamel's principle). The solutions obtained by this new approach are shown to
agree identically with those obtained by using the Laplace transform in time
only, a technique that enforces the proper start-up condition implicitly
(hence, the same error cannot be committed).


title: Local Privacy and Minimax Bounds: Sharp Rates for Probability Estimation

abstract:
  We provide a detailed study of the estimation of probability
distributions---discrete and continuous---in a stringent setting in which data
is kept private even from the statistician. We give sharp minimax rates of
convergence for estimation in these locally private settings, exhibiting
fundamental tradeoffs between privacy and convergence rate, as well as
providing tools to allow movement along the privacy-statistical efficiency
continuum. One of the consequences of our results is that Warner's classical
work on randomized response is an optimal way to perform survey sampling while
maintaining privacy of the respondents.


title: Novel rotating hairy black hole in (2+1)-dimensions

abstract:
  We present some novel rotating hairy black hole metric in $(2+1)$ dimensions,
which is an exact solution to the field equations of the Einstein-scalar-AdS
theory with a non-minimal coupling. The scalar potential is determined by the
metric ansatz and consistency of the field equations and cannot be prescribed
arbitrarily. In the simplified, critical case, the scalar potential contains
two independent constant parameters, which are respectively related to the mass
and angular momentum of the black hole in a particular way. As long as the
angular momentum does not vanish, the metric can have zero, one or two
horizons. The case with no horizon is physically uninteresting because of the
curvature singularity lying at the origin. We identified the necessary
conditions for at least one horizon to be present in the solution, which
imposes some bound on the mass-angular momentum ratio. For some particular
choice of parameters our solution degenerates into some previously known black
hole solutions.


title:
Generalization of Euler-Lagrange Equations to Find Min-max Optimal
  Solution of Uncertain Systems

abstract:
  In this paper, calculus of variation methods are generalized to find min-max
optimal solution of uncertain dynamical systems with uncertain or certain cost.
First, a new form of Euler-Lagrange conditions for uncertain systems is
presented. Then several cases are indicated where final condition can be
specified or free. Also necessary conditions are introduced to existence of
min-max optimal solution of the uncertain systems. Finally, efficiency of the
proposed method is verified through some examples.


title:
Exploiting Self-Interference Suppression for Improved Spectrum
  Awareness/Efficiency in Cognitive Radio Systems

abstract:
  Inspired by recent developments in full-duplex communications, we propose and
study new modes of operation for cognitive radios with the goal of achieving
improved primary user (PU) detection and/or secondary user (SU) throughput.
Specifically, we consider an opportunistic PU/SU setting in which the SU is
equipped with partial/complete self-interference suppression (SIS), enabling it
to transmit and receive/sense at the same time. Following a brief sensing
period, the SU can operate in either simultaneous transmit-and-sense (TS) mode
or simultaneous transmit-and-receive (TR) mode. We analytically study the
performance metrics for the two modes, namely the detection and false-alarm
probabilities, the PU outage probability, and the SU throughput. From this
analysis, we evaluate the sensing-throughput tradeoff for both modes. Our
objective is to find the optimal sensing and transmission durations for the SU
that maximize its throughput subject to a given outage probability. We also
explore the spectrum awareness/efficiency tradeoff that arises from the two
modes by determining an efficient adaptive strategy for the SU link. This
strategy has a threshold structure, which depends on the PU traffic load. Our
study considers both perfect and imperfect sensing as well as perfect/imperfect
SIS.


title: Semigroup Operator Algebras and Quantum Semigroups

abstract:
  A detailed study of the semigroup $C^\ast$-algebra is presented. This
$C^\ast$-algebra appears as a "deformation" of the continuous functions algebra
on a compact abelian group. Considering semigroup $C^\ast$-algebras in this
framework we construct a compact quantum semigroups category. Then the initial
group is a compact subgroup of the new compact quantum semigroup, the natural
action of this group is described. The dual space of such $C^\ast$-algebra is
endowed with Banach *-algebra structure, which contains the algebra of measures
on a compact group. The dense weak Hopf *-algebra is given. It is shown that
the constructed category of compact quantum semigroups can be embedded to the
category of abelian semigroups.


title:
VLBA observations of a rare multiple quasar imaging event caused by
  refraction in the interstellar medium

abstract:
  We report on the first detection of the theoretically-predicted rare
phenomenon of multiple parsec-scale imaging of an active galactic nucleus
induced by refractive effects due to localized foreground electron density
enhancements, e.g., in an AU-scale plasma lens(es) in the ionized component of
the Galactic interstellar medium. We detected multiple imaging in the low
galactic latitude (b=-2 deg) quasar 2023+335 from the 15.4 GHz MOJAVE
observations when the source was undergoing an ESE. While the parsec-scale jet
of the source normally extends along PA -20 deg, in the 28 May 2009 and 23 July
2009 images a highly significant multi-component pattern of secondary images is
stretched out nearly along the constant galactic latitude line with a local PA
40 deg, indicating that the direction of relative motion of the plasma lens is
close to orbital. Weaker but still detectable imaging patterns at similar
position angles are sporadically manifest at several other epochs. Modeling the
ESE that occurred in early 2009 and lasted ~0.14 yr, we determined that the
foreground screen has a double-lens structure, with proper motion (~6.8
mas/yr), and angular size (~0.27 mas). We also found that the angular
separation between the two brightest sub-images roughly follows a
wavelength-squared dependence expected from plasma scattering. Furthermore, by
analyzing archival non-simultaneous VLBA observations covering a wide frequency
range from 1.4 to 86 GHz, we found that the scattered angular size of the VLBI
core follows a $\nu^{-1.89}$ dependence, implying the presence of a turbulent,
refractive dominated scattering screen that has a confined structure or is
truncated transverse to the line of sight toward 2023+335.


title: Light composite scalar in twelve-flavor QCD on the lattice

abstract:
  Based on lattice simulations using highly improved staggered quarks for
twelve-flavor QCD with several bare fermion masses, we observe a flavor-singlet
scalar state lighter than the pion in the correlators of fermionic
interpolating operators. The same state is also investigated using correlators
of gluonic interpolating operators. Combined with our previous study, that
showed twelve-flavor QCD to be consistent with being in the conformal window,
we infer that the lightness of the scalar state is due to infrared
conformality. This result shed some light on the possibility of a light
composite Higgs boson ("technidilaton") in walking technicolor theories.


title:
Quantum Monte Carlo study of a two dimensional dipolar Bose gas in a
  harmonic trap

abstract:
  We present a Quantum Monte Carlo study of the ground state properties of a
two dimensional system of Bose particle with dipole moment in a harmonic trap.
The direction of the dipoles is assumed to be fixed by an external field. We
study how the system behaves when the direction of the dipole moments is
changed. Our analysis is made using Path Integral Monte Carlo simulations in
the Grand Canonical ensemble, using the Worm Algorithm. We study systems of
increasing size, focusing on the spatial distribution of the atoms inside the
trap and on the superfluid fraction of the sample. We find that vertical
dipoles form a crystal, characterized by a shell structure, while tilting the
dipoles has the effect of inducing a striped structure. We find that similar
behaviour can be found in the analogue classical system. Vertical dipoles
display nonclassical inertia while a strong tilting decreases superfluidity.


title: Arbitrage and duality in nondominated discrete-time models

abstract:
  We consider a nondominated model of a discrete-time financial market where
stocks are traded dynamically, and options are available for static hedging. In
a general measure-theoretic setting, we show that absence of arbitrage in a
quasi-sure sense is equivalent to the existence of a suitable family of
martingale measures. In the arbitrage-free case, we show that optimal
superhedging strategies exist for general contingent claims, and that the
minimal superhedging price is given by the supremum over the martingale
measures. Moreover, we obtain a nondominated version of the Optional
Decomposition Theorem.


title: Entanglement enhances cooling in microscopic quantum fridges

abstract:
  Small self-contained quantum thermal machines function without external
source of work or control, but using only incoherent interactions with thermal
baths. Here we investigate the role of entanglement in a small self-contained
quantum refrigerator. We first show that entanglement is detrimental as far as
efficiency is concerned---fridges operating at efficiencies close to the Carnot
limit do not feature any entanglement. Moving away from the Carnot regime, we
show that entanglement can enhance cooling and energy transport. Hence a truly
quantum refrigerator can outperform a classical one. Furthermore, the amount of
entanglement alone quantifies the enhancement in cooling.


title:
Comparative Study of ERP Implementation Methodology Case Study:
  Accelerated SAP VS Dantes & Hasibuan Methodology

abstract:
  Enterprise Resource Planning (ERP) system is a concept of enterprise system
that describe the integration of the whole process in the organization. Study
in this field mostly about external development paradigm on information system
development. So, issue in ERP is all about how to adopt it in the organization,
not about the application development. This paper reviews two methodologies on
ERP system implementation, one is vendor perspective methodology and new
generic perspective methodology. Comparation of both methodology is done in
this study using certain metric measurements. Result is the vendor perspective
slightly superior than new generic perspective methodology.


title: Information System as a Service: Issues and Challenges

abstract:
  Information system evolved as the evolution of information technology. The
current state of information technology, placed the internet as a main
resources of computing. Cloud technology as the backbone of internet has been
utilized as a powerful computing resources. Therefore, cloud introduced new
term of service oriented technology, popular with "as a service" kind of name.
In this paper, the service oriented paradigm will be used to address future
trend of information system. Thus, this paper try to introduce the term
"information system as a service", holistic view of infrastructure as a
service, platform as a service, software as a service, and data as a service.


title:
Cognitive Beamforming for Multiple Secondary Data Streams With
  Individual SNR Constraints

abstract:
  In this paper, we consider cognitive beamforming for multiple secondary data
streams subject to individual signal-to-noise ratio (SNR) requirements for each
secondary data stream. In such a cognitive radio system, the secondary user is
permitted to use the spectrum allocated to the primary user as long as the
caused interference at the primary receiver is tolerable. With both secondary
SNR constraint and primary interference power constraint, we aim to minimize
the secondary transmit power consumption. By exploiting the individual SNR
requirements, we formulate this cognitive beamforming problem as an
optimization problem on the Stiefel manifold. Both zero forcing beamforming
(ZFB) and nonzero forcing beamforming (NFB) are considered. For the ZFB case,
we derive a closed form beamforming solution. For the NFB case, we prove that
the strong duality holds for the nonconvex primal problem and thus the optimal
solution can be easily obtained by solving the dual problem. Finally, numerical
results are presented to illustrate the performance of the proposed cognitive
beamforming solutions.


title:
Quantum interference effects in an ensemble of $^{229}$Th nuclei
  interacting with coherent light

abstract:
  As a unique feature, the $^{229}$Th nucleus has an isomeric transition in the
vacuum ultraviolet that can be accessed by optical lasers. The interference
effects occurring in the interaction between coherent optical light and an
ensemble of $^{229}$Th nuclei are investigated theoretically. We consider the
scenario of nuclei doped in vacuum ultraviolet-vacuum ultraviolet transparent
crystals and take into account the effect of different doping sites and
therefore different lattice fields that broaden the nuclear transition width.
This effect is shown to come in interplay with interference effects due to the
hyperfine splitting of the ground and isomeric nuclear states. We investigate
possible experimentally available situations involving two-, three- and
four-level schemes of quadrupole sublevels of the ground and isomeric nuclear
states coupling to one or two coherent fields. Specific configurations which
offer clear signatures of the isomer excitation advantageous for the more
precise experimental determination of the transition energy are identified.
Furthermore, it is shown that population trapping into the isomeric state can
be achieved. This paves the way for further nuclear quantum optics applications
with $^{229}$Th such as nuclear coherent control.


title: Ferrand's pushouts for algebraic spaces

abstract:
  We extend Ferrand's results about pushouts of schemes to the category of
algebraic spaces. We call the corresponding class of pushouts Ferrand's
pushouts. They will be used in our sequel works to extend the notions of
valuation rings and Riemann-Zariski spaces to the category of algebraic spaces,
and to obtain a new proof of Nagata's compactification theorem for algebraic
spaces.


title: On Mobius and Liouville functions of order $k$

abstract:
  Let $F$ be a number field, $k$ a positive integer. In this paper, we define
the Mobius and Liouville functions of order $k$ in $F$. We give a formula about
the partial sums of them by using elementary number theory and complex
analysis. Moreover, we also consider the number of $k$-free ideals of the
integer ring of $F$.


title:
Measurement of neutral strange particle production in the underlying
  event in proton-proton collisions at sqrt(s) = 7 TeV

abstract:
  Measurements are presented of the production of primary K(S)0 and Lambda
particles in proton-proton collisions at sqrt(s) = 7 TeV in the region
transverse to the leading charged-particle jet in each event. The average
multiplicity and average scalar transverse momentum sum of K(S)0 and Lambda
particles measured at pseudorapidities abs(eta) < 2 rise with increasing
charged-particle jet pt in the range 1-10 GeV and saturate in the region 10-50
GeV. The rise and saturation of the strange particle yields and transverse
momentum sums in the underlying event are similar to those observed for
inclusive charged particles, which confirms the impact-parameter picture of
multiple parton interactions. The results are compared to recent tunes of the
PYTHIA Monte Carlo event generator. The PYTHIA simulations underestimate the
data by 15-30% for K(S)0 mesons and by about 50% for Lambda baryons, a deficit
similar to that observed for the inclusive strange particle production in
non-single-diffractive proton-proton collisions. The constant strange- to
charged-particle activity ratios and the similar trends for mesons and baryons
indicate that the multiparton-interaction dynamics is decoupled from parton
hadronization, which occurs at a later stage.


title: Average gluon and quark jet multiplicities at higher orders

abstract:
  We develop a new formalism for computing and including both the perturbative
and nonperturbative QCD contributions to the scale evolution of average gluon
and quark jet multiplicities. The new method is motivated by recent progress in
timelike small-x resummation obtained in the MS-bar factorization scheme. We
obtain next-to-next-to-leading-logarithmic (NNLL) resummed expressions, which
represent generalizations of previous analytic results. Our expressions depend
on two nonperturbative parameters with clear and simple physical
interpretations. A global fit of these two quantities to all available
experimental data sets that are compatible with regard to the jet algorithms
demonstrates by its goodness how our results solve a longstandig problem of
QCD. We show that the statistical and theoretical uncertainties both do not
exceed 5% for scales above 10 GeV. We finally propose to use the jet
multiplicity data as a new way to extract the strong-coupling constant.
Including all the available theoretical input within our approach, we obtain
alpha_s^(5)(M_Z)=0.1199 +- 0.0026 in the MS-bar scheme in an approximation
equivalent to next-to-next-to-leading order enhanced by the resummations of
ln(x) terms through the NNLL level and of ln(Q^2) terms by the renormalization
group, in excellent agreement with the present world average.


title: Averages of Ramanujan sums: Note on two papers by E. Alkan

abstract:
  We give a simple proof and a multivariable generalization of an identity due
to E. Alkan concerning a weighted average of the Ramanujan sums. We deduce
identities for other weighted averages of the Ramanujan sums with weights
concerning logarithms, values of arithmetic functions for gcd's, the Gamma
function, the Bernoulli polynomials, and binomial coefficients.


title:
Observation of resonance-assisted dynamical tunneling in an asymmetric
  microcavity

abstract:
  We report the first experimental observation of the resonance-assisted
dynamical tunneling (RADT) in the inter-mode interaction in an
asymmetric-deformed microcavity. A selection rule for strong inter-mode
coupling induced by RADT was observed on angular mode numbers as predicted by
the RADT theory. In addition, the coupling strength was measured to be
proportional to the square of the phase-space area associated with the
nonlinear resonance involved in RADT. The proportionality constant was found to
depend only on the nonlinear resonance, supporting the semiclassical nature of
RADT.


title:
Three-dimensional imaging of cavity vacuum with single atoms localized
  by a nanohole array

abstract:
  Zero-point electromagnetic fields were first introduced to explain the origin
of atomic spontaneous emission. Vacuum fluctuations associated with the
zero-point energy in cavities are now utilized in quantum devices such as
single-photon sources, quantum memories, switches and network nodes. Here we
present three-dimensional (3D) imaging of vacuum fluctuations in a high-Q
cavity based on the measurement of position-dependent emission of single atoms.
Atomic position localization is achieved by using a nanoscale atomic beam
aperture scannable in front of the cavity mode. The 3D structure of the cavity
vacuum is reconstructed from the cavity output. The root mean squared amplitude
of the vacuum field at the antinode is also measured to be 0.92+-0.07V/cm. The
present work utilizing a single atom as a probe for sub-wavelength imaging
demonstrates the utility of nanometre-scale technology in cavity quantum
electrodynamics.


title: On the $\ell_1$-Norm Invariant Convex k-Sparse Decomposition of Signals

abstract:
  Inspired by an interesting idea of Cai and Zhang, we formulate and prove the
convex $k$-sparse decomposition of vectors which is invariant with respect to
$\ell_1$ norm. This result fits well in discussing compressed sensing problems
under RIP, but we believe it also has independent interest. As an application,
a simple derivation of the RIP recovery condition $\delta_k+\theta_{k,k} < 1$
is presented.


title:
Extending structures, Galois groups and supersolvable associative
  algebras

abstract:
  Let $A$ be a unital associative algebra over a field $k$. All unital
associative algebras containing $A$ as a subalgebra of a given codimension
$\mathfrak{c}$ are described and classified. For a fixed vector space $V$ of
dimension $\mathfrak{c}$, two non-abelian cohomological type objects are
explicitly constructed: ${\mathcal A}{\mathcal H}^{2}_{A} \, (V, \, A)$ will
classify all such algebras up to an isomorphism that stabilizes $A$ while
${\mathcal A}{\mathcal H}^{2} \, (V, \, A)$ provides the classification from
H\"{o}lder's extension problem viewpoint. A new product, called the unified
product, is introduced as a tool of our approach. The classical crossed product
or the twisted tensor product of algebras are special cases of the unified
product. Two main applications are given: the Galois group ${\rm Gal} \, (B/A)$
of an extension $A \subseteq B$ of associative algebras is explicitly described
as a subgroup of a semidirect product of groups ${\rm GL}_k (V) \rtimes {\rm
Hom}_k (V, \, A)$, where the vector space $V$ is a complement of $A$ in $B$.
The second application refers to supersolvable algebras introduced as the
associative algebra counterpart of supersolvable Lie algebras. Several explicit
examples are given for supersolvable algebras over an arbitrary base field,
including those of characteristic two whose difficulty is illustrated.


title: A Robust Version of Convex Integral Functionals

abstract:
  We study the pointwise supremum of convex integral functionals
$\mathcal{I}_{f,\gamma}(\xi)= \sup_{Q} \left( \int_\Omega
f(\omega,\xi(\omega))Q(d\omega)-\gamma(Q)\right)$ on
$L^\infty(\Omega,\mathcal{F},\mathbb{P})$ where
$f:\Omega\times\mathbb{R}\rightarrow\overline{\mathbb{R}}$ is a proper normal
convex integrand, $\gamma$ is a proper convex function on the set of
probability measures absolutely continuous w.r.t. $\mathbb{P}$, and the
supremum is taken over all such measures. We give a pair of upper and lower
bounds for the conjugate of $\mathcal{I}_{f,\gamma}$ as direct sums of a common
regular part and respective singular parts; they coincide when
$\mathrm{dom}(\gamma)=\{\mathbb{P}\}$ as Rockafellar's result, while both
inequalities can generally be strict. We then investigate when the conjugate
eliminates the singular measures, which a fortiori yields the equality in
bounds, and its relation to other finer regularity properties of the original
functional and of the conjugate.


title:
The subadditivity of the Kodaira Dimension for Fibrations of Relative
  Dimension One in Positive Characteristics

abstract:
  Let $f:X\rightarrow Z$ be a separable fibration of relative dimension 1
between smooth projective varieties over an algebraically closed field $k$ of
positive characteristic. We prove the subadditivity of Kodaira dimension
$\kappa(X)\geq\kappa(Z)+\kappa(F)$, where $F$ is the generic geometric fiber of
$f$, and $\kappa(F)$ is the Kodaira dimension of the normalization of $F$.
Moreover, if $\dim X=2$ and $\dim Z=1$, we have a stronger inequality
$\kappa(X)\geq \kappa(Z)+\kappa_1(F)$ where $\kappa_1(F)=\kappa(F,\omega^o_F)$
is the Kodaira dimension of the dualizing sheaf $\omega_F^o$.


title: Rotating Globular Clusters

abstract:
  Internal rotation is considered to play a major role in the dynamics of some
globular clusters. However, in only few cases it has been studied by
quantitative application of realistic and physically justified global models.
Here we present a dynamical analysis of the photometry and three-dimensional
kinematics of omega Cen, 47 Tuc, and M15, by means of a recently introduced
family of self-consistent axisymmetric rotating models. The three clusters,
characterized by different relaxation conditions, show evidence of differential
rotation and deviations from sphericity. The combination of line-of-sight
velocities and proper motions allows us to determine their internal dynamics,
predict their morphology, and estimate their dynamical distance. The
well-relaxed cluster 47 Tuc is very well interpreted by our model; internal
rotation is found to explain the observed morphology. For M15, we provide a
global model in good agreement with the data, including the central behavior of
the rotation profile and the shape of the ellipticity profile. For the
partially relaxed cluster omega Cen, the selected model reproduces the complex
three-dimensional kinematics; in particular the observed anisotropy profile,
characterized by a transition from isotropy, to weakly-radial anisotropy, and
then to tangential anisotropy in the outer parts. The discrepancy found for the
steep central gradient in the observed line-of-sight velocity dispersion
profile and for the ellipticity profile is ascribed to the condition of only
partial relaxation of this cluster and the interplay between rotation and
radial anisotropy.


title: New Index for Quantifying an Individual's Scientific Research Output

abstract:
  Classifying researchers according to the quality of their published work
rather than the quantity is a curtail issue. We attempt to introduce a new
formula of the percentage range to be used for evaluating qualitatively the
researchers' production. The suggested equation depends on the number of the
single-author published papers and their citations to be added as a new factor
to the known h-index. These factors give an advantage and make a clear evidence
of innovative authors and reduce the known h-index for authors who are gaining
citations by adding their names to multi-author papers. It is shown that
various dimensions of ethical integrity and originality will be effective in
this new index. An important scenario arising from the analysis is shown in
terms of examples. It refers to larger differences between the h- and the new
index which comes from the whole work and the one comes from the single-author
papers only, is shown.


title:
Discrete symmetries determining scalar quantum modes on the de Sitter
  spacetime

abstract:
  The action of the discrete symmetries on the scalar mode functions of the de
Sitter spacetime is studied. The invariance with respect to a combination of
discrete symmetries is put forward as a criterion to select a certain vacuum
out of a family of vacua. The implications of the choices for eigenfunctions of
various common sets of commuting operators are explored, and the results are
compared to the different original choices from the literature that have been
utilized in order to exhibit thermal effects.


title: The dual of Brown representability for some derived categories

abstract:
  Consider a complete abelian category which has an injective cogenerator. If
its derived category is left--complete we show that the dual of this derived
category satisfies Brown representability. In particular this is true for the
derived category of an abelian AB$4^*$-$n$ category, for the derived category
of quasi--coherent sheaves over a nice enough scheme (including the projective
finitely dimensional space) and for the full subcategory of derived category of
all sheaves over an algebraic stack consisting from complexes with
quasi--coherent cohomology.


title: Edge reconstruction in the $\nu=2/3$ fractional quantum Hall state

abstract:
  The edge structure of the $\nu=2/3$ fractional quantum Hall state has been
studied for several decades but recent experiments, exhibiting upstream neutral
mode(s), a plateau at a Hall conductance of $\frac{1}{3}( e^2/h)$ through a
quantum point contact, and a crossover of the effective charge, from $e/3$ at
high temperature to $2e/3$ at low temperature, could not be explained by a
single theory. Here we develop such a theory, based on edge reconstruction due
to a confining potential with finite slope, that admits an additional $\nu=1/3$
incompressible strip near the edge. Renormalization group analysis of the
effective edge theory due to disorder and interactions explains the
experimental observations.


title:
Orbital upper critical field of type-II superconductors with pair
  breaking

abstract:
  The orbital upper critical field $H_{c2} $ is evaluated for isotropic
materials with arbitrary transport and pair-breaking scattering rates. It is
shown that unlike transport scattering which enhances $H_{c2} $, the pair
breaking suppresses the upper critical field and reduces the dimensionless
ratio $h^*(0)=H_{c2}(0)/T_c(dH_{c2}/dT)_{T_c} $ from the Helfand-Werthamer
value of $\approx 0.7$ to 0.5 for a strong pair-breaking. $h^*(T)$ is evaluated
for arbitrary transport and pair-breaking scattering.
  A phenomenological model for the pair-breaking suppression by magnetic fields
is introduced. It shows qualitative features such as a positive curvature of
$H_{c2}(T) $ and the low temperature upturn usually associated with multi-band
superconductivity.


title:
Congruences for Generalized Frobenius Partitions with an Arbitrarily
  Large Number of Colors

abstract:
  In his 1984 AMS Memoir, George Andrews defined the family of $k$--colored
generalized Frobenius partition functions. These are denoted by $c\phi_k(n)$
where $k\geq 1$ is the number of colors in question. In that Memoir, Andrews
proved (among many other things) that, for all $n\geq 0,$ $c\phi_2(5n+3) \equiv
0\pmod{5}.$ Soon after, many authors proved congruence properties for various
$k$--colored generalized Frobenius partition functions, typically with a small
number of colors.
  Work on Ramanujan--like congruence properties satisfied by the functions
$c\phi_k(n)$ continues, with recent works completed by Baruah and Sarmah as
well as the author. Unfortunately, in all cases, the authors restrict their
attention to small values of $k.$ This is often due to the difficulty in
finding a "nice" representation of the generating function for $c\phi_k(n)$ for
large $k.$ Because of this, no Ramanujan--like congruences are known where $k$
is large. In this note, we rectify this situation by proving several infinite
families of congruences for $c\phi_k(n)$ where $k$ is allowed to grow
arbitrarily large. The proof is truly elementary, relying on a generating
function representation which appears in Andrews' Memoir but has gone
relatively unnoticed.


title: The two-dimensional Contou-Carr\`{e}re symbol and reciprocity laws

abstract:
  We define a two-dimensional Contou-Carr\`{e}re symbol, which is a deformation
of the two-dimensional tame symbol and is a natural generalization of the
(usual) one-dimensional Contou-Carr\`{e}re symbol. We give several
constructions of this symbol and investigate its properties. Using higher
categorical methods, we prove reciprocity laws on algebraic surfaces for this
symbol. We relate also the two-dimensional Contou-Carr\`{e}re symbol with the
two-dimensional class field theory.


title:
Evaluating local correlation tracking using CO5BOLD simulations of solar
  granulation

abstract:
  Flows on the solar surface are linked to solar activity, and LCT is one of
the standard techniques for capturing the dynamics of these processes by
cross-correlating solar images. However, the link between contrast variations
in successive images to the underlying plasma motions has to be quantitatively
confirmed. Radiation hydrodynamics simulations of solar granulation
(e.g.,CO5BOLD) provide access to both the wavelength-integrated, emergent
continuum intensity and the 3D velocity field at various heights in the solar
atmosphere. Thus, applying LCT to continuum images yields horizontal proper
motions, which are then compared to the velocity field of the simulated
(non-magnetic) granulation. In this study, we evaluate the performance of an
LCT algorithm previously developed for bulk-processing Hinode G-band images,
establish it as a quantitative tool for measuring horizontal proper motions,
and clearly work out the limitations of LCT or similar techniques designed to
track optical flows. Horizontal flow maps and frequency distributions of the
flow speed were computed for a variety of LCT input parameters including the
spatial resolution, the width of the sampling window, the time cadence of
successive images, and the averaging time used to determine persistent flow
properties. Smoothed velocity fields from the hydrodynamics simulation at three
atmospheric layers (log tau=-1,0,and +1) served as a point of reference for the
LCT results. LCT recovers many of the granulation properties, e.g.,the shape of
the flow speed distributions, the relationship between mean flow speed and
averaging time, and also--with significant smoothing of the simulated velocity
field--morphological features of the flow and divergence maps. However, the
horizontal proper motions are grossly underestimated by as much as a factor of
three. The LCT flows match best the flows deeper in the atmosphere at log
tau=+1.


title:
Limit of the Wulff Crystal when approaching criticality for site
  percolation on the triangular lattice

abstract:
  The understanding of site percolation on the triangular lattice progressed
greatly in the last decade. Smirnov proved conformal invariance of critical
percolation, thus paving the way for the construction of its scaling limit.
Recently, the scaling limit of near-critical percolation was also constructed
by Garban, Pete and Schramm. The aim of this very modest contribution is to
explain how these results imply the convergence, as p tends to p_c, of the
Wulff crystal to a Euclidean disk. The main ingredient of the proof is the
rotational invariance of the scaling limit of near-critical percolation proved
by these three mathematicians.


title:
Simplicity and Commutative Bases of Derivations in Polynomial and Power
  Series Rings

abstract:
  The first part of the paper will describe a recent result of K. Retert in
(\cite{Ret}) for $k[x_1,\ldots,x_n]$ and $k[[x_1,\ldots,x_n]]$. This result
states that if $\mathfrak{D}$ is a set of commute $k$-derivations of $k[x,y]$
such that both $\partial_x \in \mathfrak{D}$ and the ring is
$\mathfrak{D}$-simple, then there is $d \in \mathfrak{D}$ such that $k[x,y]$ is
$\{\partial_x,d\}$-simple. As applications, we obtain relationships with known
results of A. Nowicki on commutative bases of derivations.


title: On the Hausdorff dimension faithfulness and the Cantor series expansion

abstract:
  We study families $\Phi$ of coverings which are faithful for the Hausdorff
dimension calculation on a given set $E$ (i. e., special relatively narrow
families of coverings leading to the classical Hausdorff dimension of an
arbitrary subset of $E$) and which are natural generalizations of comparable
net-coverings. They are shown to be very useful for the determination or
estimation of the Hausdorff dimension of sets and probability measures.
  We give general necessary and sufficient conditions for a covering family to
be faithful and new techniques for proving faithfulness/non-faithfulness for
the family of cylinders generated by expansions of real numbers. Motivated by
applications in the multifractal analysis of infinite Bernoulli convolutions,
we study in details the Cantor series expansion and prove necessary and
sufficient conditions for the corresponding net-coverings to be faithful. To
the best of our knowledge this is the first known sharp condition of the
faithfulness for a class of covering families containing both faithful and
non-faithful ones.
  Applying our results, we characterize fine fractal properties of probability
measures with independent digits of the Cantor series expansion and show that a
class of faithful net-coverings essentially wider that the class of comparable
ones. We construct, in particular, rather simple examples of faithful families
$\mathcal{A}$ of net-coverings which are "extremely non-comparable" to the
Hausdorff measure.


title: Semi-bounded Rationality: A model for decision making

abstract:
  In this paper the theory of semi-bounded rationality is proposed as an
extension of the theory of bounded rationality. In particular, it is proposed
that a decision making process involves two components and these are the
correlation machine, which estimates missing values, and the causal machine,
which relates the cause to the effect. Rational decision making involves using
information which is almost always imperfect and incomplete as well as some
intelligent machine which if it is a human being is inconsistent to make
decisions. In the theory of bounded rationality this decision is made
irrespective of the fact that the information to be used is incomplete and
imperfect and the human brain is inconsistent and thus this decision that is to
be made is taken within the bounds of these limitations. In the theory of
semi-bounded rationality, signal processing is used to filter noise and
outliers in the information and the correlation machine is applied to complete
the missing information and artificial intelligence is used to make more
consistent decisions.


title:
The effect of initial conditions on the electromagnetic radiation
  generation in type III solar radio bursts

abstract:
  Extensive particle-in-cell simulations of fast electron beams injected in a
background magnetised plasma with a decreasing density profile were carried
out. These simulations were intended to further shed light on a newly proposed
mechanism for the generation of electromagnetic waves in type III solar radio
bursts [D. Tsiklauri, Phys. Plasmas, 18, 052903 (2011)]. The numerical
simulations were carried out using different density profiles and fast electron
distribution functions. It is shown that electromagnetic L and R modes are
excited by the transverse current, initially imposed on the system. In the
course of the simulations no further interaction of the electron beam with the
background plasma could be observed.


title:
PbCu3TeO7: An S=1/2 staircase Kagome lattice with significant intra- and
  inter-plane couplings

abstract:
  We have synthesized polycrystalline and single crystal samples of PbCu3TeO7
and studied its properties via magnetic susceptibility chi(T) and heat-capacity
Cp(T) measurements and also electronic structure calculations. Whereas the
crystal structure is suggestive of the presence of a quasi-2D network of Cu2+
(S = 1/2) buckled staircase Kagome layers, the chi(T) data show magnetic
anisotropy and three magnetic anomalies at temperatures, TN1 ~ 36 K, TN2 ~ 25
K, TN3 ~ 17 K, respectively. The chi(T) data follow the Curie-Weiss law above
200 K and a Curie-Weiss temperature Theta_CW ~ -150 K is obtained. The data
deviate from the simple Curie-Weiss law below 200 K, which is well above TN1,
suggesting the presence of competing magnetic interactions. The magnetic
anomaly at TN3 appears to be of first-order from magnetization measurements,
although our heat-capacity Cp(T) results do not display any anomaly at TN3. The
hopping integrals obtained from our electronic structure calculations suggest
the presence of significant intra-Kagome (next-nearest neighbor and diagonal)
and inter-Kagome couplings. These couplings take the PbCu3TeO7 system away from
a disordered ground state and lead to long-range order, in contrast to what
might be expected for an ideal (isotropic) 2D Kagome system.


title:
Branching laws for Verma modules and applications in parabolic geometry.
  I

abstract:
  We initiate a new study of differential operators with symmetries and combine
this with the study of branching laws for Verma modules of reductive Lie
algebras. By the criterion for discretely decomposable and multiplicity-free
restrictions of generalized Verma modules [T. Kobayashi,
http://dx.doi.org/10.1007/s00031-012-9180-y {Transf. Groups (2012)}], we are
brought to natural settings of parabolic geometries for which there exist
unique equivariant differential operators to submanifolds. Then we apply a new
method (F-method) relying on the Fourier transform to find singular vectors in
generalized Verma modules, which significantly simplifies and generalizes many
preceding works. In certain cases, it also determines the Jordan--H\"older
series of the restriction for singular parameters. The F-method yields an
explicit formula of such unique operators, for example, giving an intrinsic and
new proof of Juhl's conformally invariant differential operators [Juhl,
http://dx.doi.org/10.1007/978-3-7643-9900-9 {Progr. Math. 2009}] and its
generalizations. This article is the first in the series, and the next ones
include their extension to curved cases together with more applications of the
F-method to various settings in parabolic geometries.

categories: math.RT math-ph math.AP math.DG math.FA math.MP


title: On simplified models for dynamics of pointlike objects

abstract:
  Since physical theories employ mathematical models to describe and predict
physical phenomena, our knowledge depends on the models available to that end.
To increase their scope we present a particular type of simplified models,
serial models. Using the first few terms of a Taylor series, these models
provide some information about difficult and complex problems. In this paper,
they describe the long-term dynamics of a special type of rigid bodies at small
and slowly changing external forces.


title: Traceless SU(2) representations of 2-stranded tangles

abstract:
  Given a 2-stranded tangle in a $\ZZ/2$ homology ball, $T\subset Y$, we
investigate the character variety $R(Y,T)$ of conjugacy classes of traceless
SU(2) representations of $\pi_1(Y\setminus T)$. In particular we completely
determine the subspace of binary dihedral representations, and identify all of
$R(Y,T)$ for many tangles naturally associated to knots in S^3. Moreover, we
determine the image of the restriction map from $R(T,Y)$ to the traceless SU(2)
character variety of the 4-punctured 2-sphere (the {\it pillowcase}). We give
examples to show this image can be non-linear in general, and show it is linear
for tangles associated to pretzel knots.


title:
Statistical properties of the site-frequency spectrum associated with
  Lambda-coalescents

abstract:
  Statistical properties of the site frequency spectrum associated with
Lambda-coalescents are our objects of study. In particular, we derive
recursions for the expected value, variance, and covariance of the spectrum,
extending earlier results of Fu (1995) for the classical Kingman coalescent.
Estimating coalescent parameters introduced by certain Lambda-coalescents for
datasets too large for full likelihood methods is our focus. The recursions for
the expected values we obtain can be used to find the parameter values which
give the best fit to the observed frequency spectrum. The expected values are
also used to approximate the probability a (derived) mutation arises on a
branch subtending a given number of leaves (DNA sequences), allowing us to
apply a pseudo-likelihood inference to estimate coalescence parameters
associated with certain subclasses of Lambda coalescents. The properties of the
pseudo-likelihood approach are investigated on simulated as well as real mtDNA
datasets for the high fecundity Atlantic cod (\emph{Gadus morhua}). Our results
for two subclasses of Lambda coalescents show that one can distinguish these
subclasses from the Kingman coalescent, as well as between the
Lambda-subclasses, even for moderate sample sizes.


title:
A geometrical relation between symmetric operators and mutually unbiased
  operators

abstract:
  In this work we study the relation between the set of symmetric operators and
the set of mutually unbiased operators from finite plane geometry point of
view. Here symmetric operators are generalization of symmetric informationally
complete probability-operator measurements (SIC POMs), while mutually unbiased
operators are the operator generalization of mutually unbiased bases (MUB). We
also discuss the implication of this relation to the particular cases of rank-1
SIC POMs and MUB.


title: The Dynamics of Creativity in Software Development

abstract:
  Software is primarily developed for people by people and human factors must
be studied in all software engineering phases. Creativity is the source to
improvise solutions to problems for dominating complex systems such as software
development. However, there is a lack of knowledge in what creativity is in
software development and what its dynamics are. This study describes the
current state of the research plan towards a theory on creativity in software
development. More specifically, it (1) states the motivation for studying
creativity in software development under a multidisciplinary view; it (2)
provides a first review of the literature identifying the shortcomings in the
field; it (3) proposes a research design, which includes rarely employed
methods in software engineering. To understand creativity in software
development will provide a better knowledge of the software construction
process and how individuals intellectually contribute to the creation of
better, innovative products.


title:
Supervised Feature Selection for Diagnosis of Coronary Artery Disease
  Based on Genetic Algorithm

abstract:
  Feature Selection (FS) has become the focus of much research on decision
support systems areas for which data sets with tremendous number of variables
are analyzed. In this paper we present a new method for the diagnosis of
Coronary Artery Diseases (CAD) founded on Genetic Algorithm (GA) wrapped Bayes
Naive (BN) based FS. Basically, CAD dataset contains two classes defined with
13 features. In GA BN algorithm, GA generates in each iteration a subset of
attributes that will be evaluated using the BN in the second step of the
selection procedure. The final set of attribute contains the most relevant
feature model that increases the accuracy. The algorithm in this case produces
85.50% classification accuracy in the diagnosis of CAD. Thus, the asset of the
Algorithm is then compared with the use of Support Vector Machine (SVM),
MultiLayer Perceptron (MLP) and C4.5 decision tree Algorithm. The result of
classification accuracy for those algorithms are respectively 83.5%, 83.16% and
80.85%. Consequently, the GA wrapped BN Algorithm is correspondingly compared
with other FS algorithms. The Obtained results have shown very promising
outcomes for the diagnosis of CAD.


title:
A 189 MHz, 2400 square degree polarization survey with the Murchison
  Widefield Array 32-element prototype

abstract:
  We present a Stokes I, Q and U survey at 189 MHz with the Murchison Widefield
Array 32-element prototype covering 2400 square degrees. The survey has a 15.6
arcmin angular resolution and achieves a noise level of 15 mJy/beam. We
demonstrate a novel interferometric data analysis that involves calibration of
drift scan data, integration through the co-addition of warped snapshot images
and deconvolution of the point spread function through forward modeling. We
present a point source catalogue down to a flux limit of 4 Jy. We detect
polarization from only one of the sources, PMN J0351-2744, at a level of 1.8
\pm 0.4%, whereas the remaining sources have a polarization fraction below 2%.
Compared to a reported average value of 7% at 1.4 GHz, the polarization
fraction of compact sources significantly decreases at low frequencies. We find
a wealth of diffuse polarized emission across a large area of the survey with a
maximum peak of ~13 K, primarily with positive rotation measure values smaller
than +10 rad/m^2. The small values observed indicate that the emission is
likely to have a local origin (closer than a few hundred parsecs). There is a
large sky area at 2^h30^m where the diffuse polarized emission rms is fainter
than 1 K. Within this area of low Galactic polarization we characterize the
foreground properties in a cold sky patch at $(\alpha,\delta) =
(4^h,-27^\circ.6)$ in terms of three dimensional power spectra


title: Haag's Theorem in the Theories with Non-physical Particles

abstract:
  Haag's theorem is extended to the case of regular representations of the
canonical commutation relations in a non-degenerate indefinite inner product
space.


title:
A computational method for the systematic screening of reaction barriers
  in enzymes: Searching for Bacillus circulans xylanase mutants with greater
  activity towards a synthetic substrate

abstract:
  We present a semi-empirical (PM6-based) computational method for
systematically estimating the effect of all possible single mutants, within a
certain radius of the active site, on the barrier height of an enzymatic
reaction. The intent of this method is not a quantitative prediction of the
barrier heights, but rather to identify promising mutants for further
computational or experimental study. The method is applied to identify
promising single and double mutants of Bacillus circulans xylanase (BCX) with
increased hydrolytic activity for the artificial substrate ortho-nitrophenyl
\beta-xylobioside (ONPX$_2$). The estimated reaction barrier for wild-type (WT)
BCX is 18.5 kcal/mol, which is in good agreement with the experimental
activation free energy value of 17.0 kcal/mol extracted from the observed
k$_\text{cat}$ using transition state theory (Joshi et al., Biochemistry 2001,
40, 10115). The PM6 reaction profiles for eight single point mutations are
recomputed using FMO-MP2/PCM/6-31G(d) single points. PM6 predicts an increase
in barrier height for all eight mutants while FMO predicts an increase for six
of the eight mutants. Both methods predict that the largest change in barrier
occurs for N35F, where PM6 and FMO predict a 9.0 and 15.8 kcal/mol increase,
respectively. We thus conclude that PM6 is sufficiently accurate to identify
promising mutants for further study. We prepared a set of all theoretically
possible (342) single mutants in which every amino acid of the active site
(except for the catalytically active residues E78 and E172) was mutated to
every other amino acid. Based on results from the single mutants we construct a
set of 111 double mutants consisting of all possible pairs of single mutants
with the lowest barrier for a particular position and compute their reaction
profile. None of the mutants have, to our knowledge, been prepared
experimentally[...].


title: T-Duality via Gerby Geometry and Reductions

abstract:
  We consider topological T-duality of torus bundles equipped with
S^{1}-gerbes. We show how a geometry on the gerbe determines a reduction of its
band to the subsheaf of S^{1}-valued functions which are constant along the
torus fibres. We observe that such a reduction is exactly the additional datum
needed for the construction of a T-dual pair. We illustrate the theory by
working out the example of the canonical lifting gerbe on a compact Lie group
which is a torus bundles over the associated flag manifold. It was a recent
observation of Daenzer and van Erp (arXiv1211.0763) that for certain compact
Lie groups and a particular choice of the gerbe, the T-dual torus bundle is
given by the Langlands dual group.


title:
Luminous and Variable Stars in M31 and M33. I. The Warm Hypergiants and
  Post-Red Supergiant Evolution

abstract:
  The progenitors of Type IIP supernovae have an apparent upper limit to their
initial masses of about 20 solar masses, suggesting that the most massive red
supergiants evolve to warmer temperatures before their terminal explosion. But
very few post-red supergiants are known. We have identified a small group of
luminous stars in M31 and M33 that are candidates for post-red supergiant
evolution. These stars have A -- F-type supergiant absorption line spectra and
strong hydrogen emission. Their spectra are also distinguished by the Ca II
triplet and [Ca II] doublet in emission formed in a low density circumstellar
environment. They all have significant near- and mid-infrared excess radiation
due to free-free emission and thermal emission from dust. We estimate the
amount of mass they have shed and discuss their wind parameters and mass loss
rates which range from a few times$ 10^-6 to 10^-4 solar masses/yr. On an HR
Diagram, these stars will overlap the region of the LBVs at maximum light,
however the warm hypergiants are not LBVs. Their non-spherical winds are not
optically thick and they have not exhibited any significant variability. We
suggest, however, that the warm hypergiants may be the progenitors of the "less
luminous" LBVs such as R71 and even SN1987A.


title:
The Formalization of Syntax-Based Mathematical Algorithms Using
  Quotation and Evaluation

abstract:
  Algorithms like those for differentiating functional expressions manipulate
the syntactic structure of mathematical expressions in a mathematically
meaningful way. A formalization of such an algorithm should include a
specification of its computational behavior, a specification of its
mathematical meaning, and a mechanism for applying the algorithm to actual
expressions. Achieving these goals requires the ability to integrate reasoning
about the syntax of the expressions with reasoning about what the expressions
mean. A syntax framework is a mathematical structure that is an abstract model
for a syntax reasoning system. It contains a mapping of expressions to
syntactic values that represent the syntactic structures of the expressions; a
language for reasoning about syntactic values; a quotation mechanism to refer
to the syntactic value of an expression; and an evaluation mechanism to refer
to the value of the expression represented by a syntactic value. We present and
compare two approaches, based on instances of a syntax framework, to formalize
a syntax-based mathematical algorithm in a formal theory T. In the first
approach the syntactic values for the expressions manipulated by the algorithm
are members of an inductive type in T, but quotation and evaluation are
functions defined in the metatheory of T. In the second approach every
expression in T is represented by a syntactic value, and quotation and
evaluation are operators in T itself.


title:
Chernoff's distribution and differential equations of parabolic and Airy
  type

abstract:
  We give a direct derivation of the distribution of the maximum and the
location of the maximum of one-sided and two-sided Brownian motion with a
negative parabolic drift. The argument uses a relation between integrals of
special functions, in particular involving integrals with respect to functions
which can be called "incomplete Scorer functions". The relation is proved by
showing that both integrals, as a function of two parameters, satisfy the same
extended heat equation, and the maximum principle is used to show that these
solution must therefore have the stated relation. Once this relation is
established, a direct derivation of the distribution of the maximum and
location of the maximum of Brownian motion minus a parabola is possible,
leading to a considerable shortening of the original proofs.


title: Effect of Varying Bulk Viscosity on Generalized Chaplygin Gas

abstract:
  In this paper, viscous generalized Chaplygin gas as a model of dark energy
considered. We assume non-constant bulk viscous coefficient and study dark
energy density. We consider several cases of density-dependent viscosities. We
find that, in the special case, the viscous generalized Chaplygin gas is
corresponding to modified Chaplygin gas.


title: On the neutrino non-detection of GRB 130427A

abstract:
  The recent gamma-ray burst GRB 130427A has an isotropic electromagnetic
energy $E^{iso}\sim10^{54}$ erg, suggesting an ample supply of target photons
for photo-hadronic interactions, which at its low redshift of $z\sim0.34$ would
appear to make it a promising candidate for neutrino detection. However, the
IceCube collaboration has reported a null result based on a search during the
prompt emission phase. We show that this neutrino non-detection can provide
valuable information about this GRB's key physical parameters such as the
emission radius $R_{d}$, the bulk Lorentz factor $\Gamma$ and the energy
fraction converted into cosmic rays $\epsilon_{p}$. The results are discussed
both in a model-independent way and in the specific scenarios of an internal
shock model (IS), a baryonic photospheric model (BPH) and magnetic photospheric
model (MPH). We find that the constraints are most stringent for the magnetic
photospheric model considered, but the constraints on the internal shock and
the baryonic photosphere models are fairly modest.


title: Sub-Riemannian geometry of Stiefel manifolds

abstract:
  In the paper we consider the Stiefel manifold $V_{n;k}$ as a principal
$U(k)$- bundle over the Grassmann manifold and study the cut locus from the
unit element. We gave the complete description of this cut locus on $V_{n;1}$
and presented the sufficient condition on the general case. At the end, we
study the complement to the cut locus of $V_{2k;k}$.


title: Ricci curvatures in Carnot groups

abstract:
  We study metric contraction properties for metric spaces associated with
left-invariant sub-Riemannian metrics on Carnot groups. We show that ideal
sub-Riemannian structures on Carnot groups satisfy such properties and give a
lower bound of possible curvature exponents in terms of the datas.


title: Closing geodesics in $C^1$ topology

abstract:
  Given a closed Riemannian manifold, we show how to close an orbit of the
geodesic flow by a small perturbation of the metric in the $C^1$ topology.


title:
Covariant Compton Scattering Kernel in General Relativistic Radiative
  Transfer

abstract:
  A covariant scattering kernel is a core component in any self-consistent
general relativistic radiative transfer formulation in scattering media. An
explicit closed-form expression for a covariant Compton scattering kernel with
a good dynamical energy range has unfortunately not been available thus far.
Such an expression is essential to obtain numerical solutions to the general
relativistic radiative transfer equations in complicated astrophysical settings
where strong scattering effects are coupled with highly relativistic flows and
steep gravitational gradients. Moreover, this must be performed in an efficient
manner. With a self-consistent covariant approach, we have derived a
closed-form expression for the Compton scattering kernel for arbitrary energy
range. The scattering kernel and its angular moments are expressed in terms of
hypergeometric functions, and their derivations are shown explicitly in this
paper. We also evaluate the kernel and its moments numerically, assessing
various techniques for their calculation. Finally, we demonstrate that our
closed-form expression produces the same results as previous calculations,
which employ fully numerical computation methods and are applicable only in
more restrictive settings.


title:
Reflexivity of Banach $C(K)$-modules via the reflexivity of Banach
  lattices

abstract:
  We extend the well known criteria of reflexivity of Banach lattices due to
Lozanovsky and Lotz to the class of finitely generated Banach $C(K)$- modules.
Namely we prove that a finitely generated Banach $C(K)$-module is reflexive if
and only if it does not contain any subspace isomorphic to either $l^1$ or
$c_0$.


title:
On sub-Riemannian geodesics in $SE(3)$ whose spatial projections do not
  have cusps

abstract:
  We consider the problem $\mathbf{P_{curve}}$ of minimizing $\int \limits_0^L
\sqrt{\xi^2 + \kappa^2(s)} \, {\rm d}s$ for a curve $\mathbf{x}$ on $\mathbb R$
with fixed boundary points and directions. Here the total length $L\geq 0$ is
free, $s$ denotes the arclength parameter, $\kappa$ denotes the absolute
curvature of $\mathbf{x}$, and $\xi>0$ is constant. We lift problem
$\mathbf{P_{curve}}$ on $\mathbb R^3$ to a sub-Riemannian problem
$\mathbf{P_{mec}}$ on $\operatorname{SE(3)}\nolimits/(\{\mathbf{0}\}\times
\operatorname{SO(2)}\nolimits)$. Here, for admissible boundary conditions, the
spatial projections of sub-Riemannian geodesics do not exhibit cusps and they
solve problem $\mathbf{P_{curve}}$. We apply the Pontryagin Maximum Principle
(PMP) and prove Liouville integrability of the Hamiltonian system. We derive
explicit analytic formulas for such sub-Riemannian geodesics, relying on the
co-adjoint orbit structure, an underlying Cartan connection, and the matrix
representation of $\operatorname{SE(3)}\nolimits$ arising in the Cartan-matrix.
These formulas allow us to extract geometrical properties of the sub-Riemannian
geodesics with cuspless projection, such as planarity conditions, explicit
bounds on their torsion, and their symmetries. Furthermore, they allow us to
parameterize all admissible boundary conditions reachable by geodesics with
cuspless spatial projection. Such projections lay in the upper half space. We
prove this for most cases, and the rest is checked numerically. Finally, we
employ the formulas to numerically solve the boundary value problem, and
visualize the set of admissible boundary conditions.


title: Observations of gas flows inside a protoplanetary gap

abstract:
  Gaseous giant planet formation is thought to occur in the first few million
years following stellar birth. Models predict that giant planet formation
carves a deep gap in the dust component (shallower in the gas). Infrared
observations of the disk around the young star HD142527, at ~140pc, found an
inner disk ~10AU in radius, surrounded by a particularly large gap, with a
disrupted outer disk beyond 140AU, indicative of a perturbing planetary-mass
body at ~90 AU. From radio observations, the bulk mass is molecular and lies in
the outer disk, whose continuum emission has a horseshoe morphology. The
vigorous stellar accretion rate would deplete the inner disk in less than a
year, so in order to sustain the observed accretion, matter must flow from the
outer-disk into the cavity and cross the gap. In dynamical models, the putative
protoplanets channel outer-disk material into gap-crossing bridges that feed
stellar accretion through the inner disk. Here we report observations with the
Atacama Large Millimetre Array (ALMA) that reveal diffuse CO gas inside the
gap, with denser HCO+ gas along gap-crossing filaments, and that confirm the
horseshoe morphology of the outer disk. The estimated flow rate of the gas is
in the range 7E-9 to 2E-7 Msun/yr, which is sufficient to maintain accretion
onto the star at the present rate.


title:
Rotation induced grain growth and stagnation in phase field crystal
  models

abstract:
  We consider the grain growth and stagnation in polycrystalline
microstructures. From the phase field crystal modelling of the coarsening
dynamics, we identify a transition from a grain-growth stagnation upon deep
quenching below the melting temperature $T_m$ to a continuous coarsening at
shallower quenching near $T_m$. The grain evolution is mediated by local grain
rotations. In the deep quenching regime, the grain assembly typically reaches a
metastable state where the kinetic barrier for recrystallization across
boundaries is too large and grain rotation with subsequent coalescence is
infeasible. For quenching near $T_m$, we find that the grain growth depends on
the average rate of grain rotation, and follows a power law behavior with time
with a scaling exponent that depends on the quenching depth.


title:
Generalized Layzer-Irvine equation: the role of dark energy
  perturbations in cosmic structure formation

abstract:
  We derive, using the spherical collapse model, a generalized Layzer-Irvine
equation which can be used to describe the gravitational collapse of cold dark
matter in a dark energy background. We show that the usual Layzer-Irvine
equation is valid if the dark matter and the dark energy are minimally coupled
to each other and the dark energy distribution is homogeneous, independently of
its equation of state. We compute the corrections to the standard Layzer-Irvine
equation which arise in the presence of dark energy inhomogeneities. We show
that, in the case of a dark energy component with a constant equation of state
parameter consistent with the latest observational constraints, these
corrections are expected to be small, even if the dark energy has a negligible
sound speed. However, we find that, in more general models, the impact of dark
energy perturbations on the dynamics of clusters of galaxies, which will be
constrained by ESA's Euclid mission with unprecedented precision, might be
significant.


title:
On the complexity of the closed fragment of Japaridze's provability
  logic

abstract:
  We consider well-known provability logic GLP. We prove that the
GLP-provability problem for variable-free polymodal formulas is
PSPACE-complete. For a number n, let L^n_0 denote the class of all polymodal
variable-free formulas without modalities <n>, <n+1>,... . We show that, for
every number n, the GLP-provability problem for formulas from L^n_0 is in
PTIME.


title: Mixing with descendant fields in perturbed minimal CFT models

abstract:
  We extend the analysis of the RG trajectory connecting successive minimal CFT
models ${\cal M}_p$ and ${\cal M}_{p-1}$ for $p\gg 1$, performed by A.
Zamolodchikov, to the fields $\varphi_{n,n\pm 3}$. This required a close
investigation of mixing with the descendant fields at the level 2. In
particular we identify those specific linear combinations of UV fields which
flow to the IR fields $\varphi_{n+3,n}$ and $\varphi_{n-3,n}$. We report also
the results of the calculation of the same mixing coefficients through the
recent RG domain wall approach by Gaiotto. These results are in complete
agreement with the leading order perturbation theory.


title:
Calculation of geometric characteristics of land cover and urban canyon
  for multi-scale parameterization of megalopolis meteorological models

abstract:
  The results of studies on the development of computational techniques for
geometric and thematic characteristics of the underlying surface and urban
canyon are presented. These characteristics are intended for parameterization
of the local model of energy-mass exchange between the surface layer of the
atmosphere and the surface of the active layer of the underlying urban areas
(cities). Multiscale database of parameters of the underlying surface with a
resolution of 200, 500 and 1000 meters is obtained. The use of
micro-meteorology models that take into account the specificity of the urban
environment, coupled with mesoscale prognostic models will significantly
improve the sound quality of the meteorological fields and local operational
weather forecasting in the metropolitan areas where considering the
hydrometeorological situation is particularly important.


title: Higgs Couplings and Naturalness

abstract:
  Many extensions of the Standard Model postulate the existence of new weakly
coupled particles, the top partners, at or below the TeV scale. The role of the
top partners is to cancel the quadratic divergence in the Higgs mass parameter
due to top loops. We point out the generic correlation between naturalness (the
degree of fine-tuning required to obtain the observed electroweak scale), and
the size of top partner loop contributions to Higgs couplings to photons and
gluons. If the fine-tuning is required to be at or below a certain level, a
model-independent lower bound on the deviations of these Higgs couplings from
the Standard Model can be placed (assuming no cancellations between
contributions from various sources). Conversely, if a precise measurement of
the Higgs couplings shows no deviation from the Standard Model, a certain
amount of fine-tuning would be required. We quantify this connection, and argue
that a measurement of the Higgs couplings at the per-cent level would provide a
serious and robust test of naturalness.


title: Uniform convexity of paranormed generalizations of $L^p$ spaces

abstract:
  For a measure space $(\Omega ,\Sigma ,\mu)$ and a bijective increasing
function $\varphi :\left[ 0,\infty \right) \rightarrow \left[0,\infty \right)$
the $L^{p}$-like paranormed ($F$-normed) function space with the paranorm of
the form $\mathbf{p}_{\varphi}(x)=\varphi ^{-1}\left(\int_{\Omega}\varphi \circ
\left|x\right|d\mu \right)$ is considered. Main results give general conditions
under which this space is uniformly convex. The Clarkson theorem on the uniform
convexity of $L^{p}$-space is generalized. Under some specific assumptions
imposed on $\varphi$ we give not only a proof of the uniform convexity but also
show the formula of a modulus of convexity. We establish the uniform convexity
of all finite-dimensional paranormed spaces, generated by a strictly convex
bijection $\varphi$ of $[0, \infty)$. However, the {\it a contrario} proof of
this fact provides no information on a modulus of convexity of these spaces. In
some cases it can be done, even an exact formula of a modulus can be proved. We
show how to make it in the case when $S={\mathbb R}^2$ and $\varphi$ is given
by $\varphi(t)={\rm e}^t-1$.


title: Order-unit-metric spaces

abstract:
  We study the concept of cone metric space in the context of ordered vector
spaces by setting up a general and natural framework for it.


title: Homogenization of heat diffusion in a cracked medium

abstract:
  We develop in this note a homogenization method to tackle the problem of a
diffusion process through a cracked medium. We show that the cracked surface of
the domain induces a source term in the homogenized equation. We assume that
the cracks are orthogonal to the surface of the material, where an incoming
heat flux is applied. The cracks are supposed to be of depth 1, of small width,
and periodically arranged.


title:
Disorder-induced Localization in a Strongly Correlated Atomic Hubbard
  Gas

abstract:
  We observe the emergence of a disorder-induced insulating state in a strongly
interacting atomic Fermi gas trapped in an optical lattice. This closed quantum
system free of a thermal reservoir realizes the disordered Fermi-Hubbard model,
which is a minimal model for strongly correlated electronic solids. In
measurements of disorder-induced localization obtained via mass transport, we
detect interaction-driven delocalization and localization that persists as the
temperature of the gas is raised. These behaviors are consistent with many-body
localization, which is a novel paradigm for understanding localization in
interacting quantum systems at non-zero temperature.


title: Central limit theorems for the shrinking target problem

abstract:
  Suppose $B_i:= B(p,r_i)$ are nested balls of radius $r_i$ about a point $p$
in a dynamical system $(T,X,\mu)$. The question of whether $T^i x\in B_i$
infinitely often (i. o.) for $\mu$ a.e.\ $x$ is often called the shrinking
target problem. In many dynamical settings it has been shown that if
$E_n:=\sum_{i=1}^n \mu (B_i)$ diverges then there is a quantitative rate of
entry and $\lim_{n\to \infty} \frac{1}{E_n} \sum_{j=1}^{n} 1_{B_i} (T^i x) \to
1$ for $\mu$ a.e. $x\in X$. This is a self-norming type of strong law of large
numbers. We establish self-norming central limit theorems (CLT) of the form
$\lim_{n\to \infty} \frac{1}{a_n} \sum_{i=1}^{n} [1_{B_i} (T^i x)-\mu(B_i)] \to
N(0,1)$ (in distribution) for a variety of hyperbolic and non-uniformly
hyperbolic dynamical systems, the normalization constants are $a^2_n \sim E
[\sum_{i=1}^n 1_{B_i} (T^i x)-\mu(B_i)]^2$. Dynamical systems to which our
results apply include smooth expanding maps of the interval, Rychlik type maps,
Gibbs-Markov maps, rational maps and, in higher dimensions, piecewise expanding
maps. For such central limit theorems the main difficulty is to prove that the
non-stationary variance has a limit in probability.


title: On the Structure and Complexity of Rational Sets of Regular Languages

abstract:
  In a recent thread of papers, we have introduced FQL, a precise specification
language for test coverage, and developed the test case generation engine
FShell for ANSI C. In essence, an FQL test specification amounts to a set of
regular languages, each of which has to be matched by at least one test
execution. To describe such sets of regular languages, the FQL semantics uses
an automata-theoretic concept known as rational sets of regular languages
(RSRLs). RSRLs are automata whose alphabet consists of regular expressions.
Thus, the language accepted by the automaton is a set of regular expressions.
  In this paper, we study RSRLs from a theoretic point of view. More
specifically, we analyze RSRL closure properties under common set theoretic
operations, and the complexity of membership checking, i.e., whether a regular
language is an element of a RSRL. For all questions we investigate both the
general case and the case of finite sets of regular languages. Although a few
properties are left as open problems, the paper provides a systematic semantic
foundation for the test specification language FQL.


title: Graviton creation from the CMB in large scale magnetic fields

abstract:
  Conversion of the CMB photons into gravitational waves at the post
recombination epoch is considered. We calculate the probability of
transformation of the CMB photons into gravitons in the presence of a large
scale magnetic field. Based on the present day limits on the strength of the
large scale magnetic field we show that the probability of the produced
gravitons as a result of photon to graviton conversion is reasonable and such
mechanism would produce an isotropic background of gravitational waves in the
same frequency range of the CMB photons. The mechanism proposed would be a
rather good opportunity to study the high frequency part of the spectrum of
gravitational waves.


title: Complexity Classes as Mathematical Axioms II

abstract:
  The second author previously discussed how classical complexity separation
conjectures, we call them "axioms", have implications in three manifold
topology: polynomial length stings of operations which preserve certain Jones
polynomial evaluations cannot produce exponential simplifications of link
diagrams. In this paper, we continue this theme, exploring now more subtle
separation axioms for quantum complexity classes. Surprisingly, we now find
that similar strings are unable to effect even linear simplifications of the
diagrams.


title:
Role of intensity fluctuations in third-order correlation double-slit
  interference of thermal light

abstract:
  A third-order double-slit interference experiment with pseudo-thermal light
source in the high-intensity limit has been performed by actually recording the
intensities in three optical paths. It is shown that not only can the visibil-
ity be dramatically enhanced compared to the second-order case as previously
theoretically predicted and shown experimentally, but also that the higher
visi- bility is a consequence of the contribution of third-order correlation
interaction terms, which is equal to the sum of all contributions from
second-order cor- relation. It is interesting that, when the two reference
detectors are scanned in opposite directions, negative values for the
third-order correlation term of the intensity fluctuations may appear. The
phenomenon can be completely explained by the theory of classical statistical
optics, and is the first concrete demonstration of the influence of the
third-order correlation terms.


title: Degree Distribution in Quantum Walks on Complex Networks

abstract:
  In this theoretical study, we analyze quantum walks on complex networks,
which model network-based processes ranging from quantum computing to biology
and even sociology. Specifically, we analytically relate the average long time
probability distribution for the location of a unitary quantum walker to that
of a corresponding classical walker. The distribution of the classical walker
is proportional to the distribution of degrees, which measures the connectivity
of the network nodes and underlies many methods for analyzing classical
networks including website ranking. The quantum distribution becomes exactly
equal to the classical distribution when the walk has zero energy and at higher
energies the difference, the so-called quantumness, is bounded by the energy of
the initial state. We give an example for which the quantumness equals a Renyi
entropy of the normalized weighted degrees, guiding us to regimes for which the
classical degree-dependent result is recovered and others for which quantum
effects dominate.