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Ultraviolet phenomena in AdS self-interacting quantum field theoryFeb 08 2018We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a $\phi^4$ field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general ... More

Merging Nonlinear Optics and Negative-Index MetamaterialsAug 03 2011The extraordinary properties of nonlinear optical propagation processes in double-domain positive/negative index metamaterials are reviewed. These processes include second harmonic generation, three- and four-wave frequency mixing, and optical parametric ... More

Negative-Index Metamaterials: Second-Harmonic Generation, Manley-Rowe Relations and Parametric AmplificationJan 10 2006Second harmonic generation and optical parametric amplification in negative-index metamaterials (NIMs) are studied. The opposite directions of the wave vector and the Poynting vector in NIMs results in a "backward" phase-matching condition, causing significant ... More

On polynomials orthogonal to all powers of a Chebyshev polynomial on a segmentDec 03 2002In this paper we describe polynomials orthogonal to all powers of a Chebyshev polynomial on a segment.

On generalized Lattès mapsDec 05 2016We introduce a class of rational functions $A:\,\mathbb C\mathbb P^1\rightarrow \mathbb C\mathbb P^1$ which can be considered as a natural extension of the class of Latt\`es maps and establish basic properties of functions from this class.

Algebraic curves $A^{\circ l}(x)-U(y)=0$ and arithmetic of orbits of rational functionsJan 06 2018We give a description of pairs of complex rational functions $A$ and $U$ of degree at least two such that for every $d\geq 1$ the algebraic curve $A^{\circ d}(x)-U(y)=0$ has a factor of genus zero or one. In particular, we show that if $A$ is not a "generalized ... More

Hawking radiation and secularly growing loop correctionsAug 29 2015Dec 20 2015We study the expectation value of the energy momentum tensor during thin shell collapse for a massive, real, scalar field theory. At tree-level, we find thermal, Hawking-type, behaviour for the energy flux. Using the Schwinger-Keldysh technique, we calculate ... More

A way to distinguish very compact stellar objects from black holesJan 15 2016Feb 15 2016We propose a way to distinguish compact stellar object, whose size is very close to its Schwarzschild radius, from the collapsing stars. Namely, we show that {\it massive} fields in the vicinity of a very compact stellar object have discrete energy levels. ... More

Atomic collapse in graphene and cyclic RG flowDec 28 2013In this Letter we consider the problem of screening of external charge in graphene from the cyclic RG flow viewpoint. The analogy with conformal Calogero model is used to suggest the interpretation of the tower of resonant states as tower of Efimov states. ... More

Explanation of the Phase Diagram of High-Temperature Superconductors in Terms of the Model of Negative-U Centers SuperconductivityFeb 10 2005It is demonstrated qualitatively how a unified explanation of the wide variety of different regions in a typical phase diagram of HTSC can be given in terms of the model of negative-U centers superconductivity. Both the existence of four regions (pseudogap, ... More

Mirrorless Negative-index Parametric Micro-oscillatorJul 22 2008The feasibility and extraordinary properties of mirrorless parametric oscillations in strongly absorbing negative-index metamaterials are shown. They stem from the backwardness of electromagnetic waves inherent to this type of metamaterials.

Coherent Nonlinear Optics and Quantum Control in Negative-Index MetamaterialsJun 01 2009The extraordinary properties of laser-induced transparency of a negative-index slab and parametric amplification for a backward-wave signal are investigated. The effects of the idler absorption and phase mismatch on the amplification of the signal are ... More

Infrared dynamics of the massive $φ^4$ theory on de Sitter spaceMar 05 2013Nov 15 2013We study massive real scalar $\phi^4$ theory in the expanding Poincare patch of de Sitter space. We calculate the leading two-loop infrared contribution to the two-point function in this theory. We do that for the massive fields both from the principal ... More

A simple energy pump for the surface quasi-geostrophic equationJun 22 2011We consider the question of growth of high order Sobolev norms of solutions of the conservative surface quasi-geostrophic equation. We show that if $s>0$ is large then for every given $A$ there is exist small in $H^s$ initial data such that the corresponding ... More

Coarse equidistribution of the argument of entire functions of finite orderOct 14 2004We present several results that show somewhat surprising equidistribution patterns in the asymptotic behaviour of the argument of entire functions of finite order.

Curves in abelian varieties over finite fieldsNov 06 2004Dec 04 2004We study the distribution of algebraic points on curves in abelian varieties over finite fields.

Measurable operators and the asymptotics of heat kernels and zeta functionsJan 17 2012In this note we answer some questions inspired by the introduction, by Alain Connes, of the notion of measurable operators using Dixmier traces. These questions concern the relationship of measurability to the asymptotics of $\zeta-$functions and heat ... More

Division Polynomials and Intersection of Projective Torsion PointsMar 01 2016Jul 20 2016Given two elliptic curves, each of which is associated with a projection map that identifies opposite elements with respect to the natural group structure, we investigate how their corresponding projective images of torsion points intersect.

Improved Description of One- and Two-Hole States after Electron Capture in 163 Holmium and the Determination of the Neutrino MassJan 18 2015Apr 07 2015The atomic pair 163 Holmium and 163 Dysprosium seems due to the small Q value of about 2.3 to 2.8 keV the best case to determine the neutrino mass by electron capture. The bolometer spectrum measures the full deexcitation energy of Dysprosium by X rays, ... More

Why should we care about the top quark Yukawa coupling?Nov 07 2014Mar 12 2015In the cosmological context, for the Standard Model to be valid up to the scale of inflation, the top quark Yukawa coupling $y_t$ should not exceed the critical value $y_t^{crit}$, coinciding with good precision (about 0.02%) with the requirement of the ... More

An exact renormalization formula for the Maryland modelNov 27 2013We discuss the difference Schr\"odinger equation $\psi_{k+1}+\psi_{k-1}+\lambda \cot(\pi\omega k+\theta)\psi_k=E\psi_k$, $k\in\mathbb{Z}$, where $\lambda$, $\omega$, $\theta$ and $E$ are parameters. We obtain explicit renormalization formulas relating ... More

A variation on a theme of Caffarelli and VasseurAug 06 2009Aug 10 2009Recently, using DiGiorgi-type techniques, Caffarelli and Vasseur showed that a certain class of weak solutions to the drift diffusion equation with initial data in $L^2$ gain H\"older continuity provided that the BMO norm of the drift velocity is bounded ... More

Parafermionic algebras, their modules and cohomologiesFeb 27 2014We explore the Fock spaces of the parafermionic algebra introduced by H.S. Green. Each parafermionic Fock space allows for a free minimal resolution by graded modules of the graded 2-step nilpotent subalgebra of the parafermionic creation operators. Such ... More

Optics of Nanostructured Fractal Silver ColloidsJan 31 2003Based on the theory of the optical properties of fractal clusters, which is an operator-based modification of the coupled-dipole method, an alternate solution is proposed for the problem of adequately describing the evolution of optical spectra of any ... More

Baryon asymmetry resulting from a quantum phase transition in the early universeJul 25 2010May 29 2011A novel mechanism for explaining the matter-antimatter asymmetry of the universe is considered. We assume that the universe starts from completely symmetric state and then, as it cools down, it undergoes a quantum-phase transition which in turn causes ... More

Strongly correlated Fermi systems as a new state of matterAug 09 2016Oct 06 2016The aim of this review paper is to expose a new state of matter exhibited by strongly correlated Fermi systems represented by various heavy-fermion (HF) metals, two-dimensional liquids like $\rm ^3He$, compounds with quantum spin liquids, quasicrystals, ... More

Common quantum phase transition in quasicrystals and heavy-fermion metalsFeb 07 2013Jun 11 2013Extraordinary new materials named quasicrystals and characterized by noncrystallographic rotational symmetry and quasiperiodic translational properties have attracted scrutiny. Study of quasicrystals may shed light on the most basic notions related to ... More

Resonant radiative processesMay 19 2000The frequency correlation properties of the radiation from an atom in a strong field in resonance with neighboring transitions are considered. It is shown that the difference in frequency correlation in two-photon and stepwise processes decreases with ... More

Evolution of close binaries after the burst of starformation for different IMFsNov 28 1997We use "Scenario Machine" -- the population synthesis simulator -- to calculate the evolution of populations of selected types of X-ray sources after a starformation burst with the total mass in binaries (1--1.5) \cdot 10^6 M_{\odot}$ during the first ... More

General properties of phase diagrams of heavy-fermion metalsMay 04 2014We study the temperature-magnetic field T-B phase diagrams of heavy fermion (HF) metals, and show that at sufficiently high temperatures outside the ordered phase the crossover temperature T*(B), regarded as the energy scale, follows a linear B-dependence, ... More

Heat transport in magnetic fields by quantum spin liquid in the organic insulators EtMe3Sb[Pd(dmit)2]2 and κ-(BEDT-TTF)2Cu2(CN)3Sep 11 2013Measurements of the low-temperature thermal conductivity collected on insulators with geometrical frustration produce important experimental facts shedding light on the nature of quantum spin liquid composed of spinons. We employ a model of strongly correlated ... More

Subexponential Parameterized Algorithm for Minimum Fill-inApr 12 2011The Minimum Fill-in problem is to decide if a graph can be triangulated by adding at most k edges. Kaplan, Shamir, and Tarjan [FOCS 1994] have shown that the problem is solvable in time O(2^(O(k)) + k2 * nm) on graphs with n vertices and m edges and thus ... More

Closed symmetric 2-differentials of the 1st kindSep 30 2013A closed symmetric differential of the 1st kind is a differential that locally is the product of closed holomorphic 1-forms. We show that closed symmetric 2-differentials of the 1st kind on a projective manifold $X$ come from maps of $X$ to cyclic or ... More

Local structure of closed symmetric 2-differentialsOct 04 2014In the authors's previous work on symmetric differentials and their connection to the topological properties of the ambient manifold, a class of symmetric differentials was introduced: closed symmetric differentials ([BoDeO11] and [BoDeO13]). In this ... More

Searching for Stopped Gluinos at CMSNov 09 2009We describe plans for a search for long-lived particles which will become stopped by the CMS detector. We will look for the subsequent decay of these particles during time intervals where there are no $pp$ collisions in CMS: during gaps between crossings ... More

Reduction of friction by normal oscillations. I. Influence of contact stiffnessNov 21 2016Nov 27 2016The present paper is devoted to a theoretical analysis of sliding friction under the influence of oscillations perpendicular to the sliding plane. In contrast to previous works we analyze the influence of the stiffness of the tribological contact in detail ... More

Scaling behavior of the thermopower of the archetypical heavy-fermion metal $\rm{YbRh_2Si_2}$Oct 27 2014Jan 06 2016We reveal and explain a scaling behavior of the thermopower $S/T$ exhibiting by the archetypical heavy-fermion (HF) metal $\rm{YbRh_2Si_2}$ under the application of magnetic field $B$ at temperatures $T$. We show that the same scaling is demonstrated ... More

Comment on "Correlated impurities and intrinsic spin liquid physics in the kagome material Herbertsmithite" (T. H. Han et al., Phys. Rev. B 94, 060409(R) (2016))Feb 10 2016Sep 18 2016Recently Han et al. have provided an analysis of the observed behavior of $\rm ZnCu_{3}(OH)_6Cl_2$ Herbertsmithite based on a separation of the contributions to its thermodynamic properties due to impurities from those due to the kagome lattice. The authors ... More

Almost invariant half-spaces of algebras of operatorsSep 18 2009Given a Banach space X and a bounded linear operator T on X, a subspace Y of X is almost invariant under T if TY is a subspace of Y+F for some finite-dimensional ``error'' F. In this paper, we study subspaces that are almost invariant under every operator ... More

Generalized derivations of (color) n-ary algebrasJun 02 2015We generalize the results of Leger and Luks about generalized derivations of Lie algebras to the case of color $n$-ary $\Omega$-algebras. Particularly, we prove some properties of generalized derivations of color $n$-ary algebras; prove that a quasiderivation ... More

A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivationsJun 02 2015Sep 23 2016Moens proved that a finite-dimensional Lie algebra over field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation. In this article we prove the analogous results for finite-dimensional Malcev, Jordan, (-1,1)-, quasiassociative, ... More

Generically multiple transitive algebraic group actionsSep 02 2004Mar 05 2005With every nontrivial connected algebraic group $G$ we associate a positive integer ${\rm gtd}(G)$ called the generic transitivity degree of $G$ and equal to the maximal $n$ such that there is a nontrivial action of $G$ on an irreducible algebraic variety ... More

Computer simulation of electronic excitations in berylliumFeb 19 2016An effective method for the quantitative description of the electronic excited states of polyatomic systems is developed by using computer technology. The proposed method allows calculating various properties of matter at the atomic level within the uniform ... More

Pathways to Naturally Small Dirac Neutrino MassesSep 08 2016Sep 13 2016If neutrinos are truly Dirac fermions, the smallness of their masses may still be natural if certain symmetries exist beyond those of the standard model of quarks and leptons. We perform a systematic study of how this may occur at tree level and in one ... More

Finite subgroups of diffeomorphism groupsOct 24 2013Jan 06 2014We prove:(1) the existence, for every integer n > 3, of a noncompact smooth n-dimensional topological manifold whose diffeomorphism group contains an isomorphic copy of every finitely presented group; (2) a finiteness theorem on finite simple subgroups ... More

Statefinder analysis of the superfluid Chaplygin gas modelMay 22 2011Dec 05 2011The statefinder indices are employed to test the superfluid Chaplygin gas (SCG) model describing the dark sector of the universe. The model involves Bose-Einstein condensate (BEC) as dark energy (DE) and an excited state above it as dark matter (DM). ... More

On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varietiesJan 08 2010Jul 01 2010A simple method of constructing a big stock of algebraic varieties with trivial Makar-Limanov invariant is described, the Derksen invariant of some varieties is computed, the generalizations of the Makar-Limanov and Derksen invariants are introduced and ... More

Algebraic conesAug 08 2009A characterization of algebraic cones in terms of actions of the one-dimensional multiplicative algebraic monoid ${\bf M}_{\rm m}$ and the algebraic group ${\bf G}_{\rm m}$ are given.

Projective Duality and Principal Nilpotent Elements of Symmetric PairsSep 22 2004It is shown that projectivized irreducible components of nilpotent cones of complex symmetric spaces are projective self-dual algebraic varieties. Other properties equivalent to their projective self-duality are found.

Arc-preserving subsequences of arc-annotated sequencesApr 22 2011Arc-annotated sequences are useful in representing the structural information of RNA and protein sequences. The longest arc-preserving common subsequence problem has been introduced as a framework for studying the similarity of arc-annotated sequences. ... More

On the internal distance in the interlacement setNov 16 2011Apr 13 2012We prove a shape theorem for the internal (graph) distance on the interlacement set $\mathcal{I}^u$ of the random interlacement model on $\mathbb Z^d$, $d\ge 3$. We provide large deviation estimates for the internal distance of distant points in this ... More

Some subgroups of the Cremona groupsOct 11 2011Jul 16 2012We explore algebraic subgroups of of the Cremona group $\mathcal C_n$ over an algebraically closed field of characteristic zero. First, we consider some class of algebraic subgroups of $\mathcal C_n$ that we call flattenable. It contains all tori. Linearizability ... More

Random walk attracted by percolation clustersJul 04 2005Starting with a percolation model in $\Z^d$ in the subcritical regime, we consider a random walk described as follows: the probability of transition from $x$ to $y$ is proportional to some function $f$ of the size of the cluster of $y$. This function ... More

Narrow orthogonally additive operatorsSep 21 2013We extend the notion of narrow operators to nonlinear maps on vector lattices. The main objects are orthogonally additive operators and, in particular, abstract Uryson operators. Most of the results extend known theorems obtained by O. Maslyuchenko, V. ... More

The vacant set of two-dimensional critical random interlacement is infiniteJun 18 2016For the model of two-dimensional random interlacements in the critical regime (i.e., $\alpha=1$), we prove that the vacant set is a.s.\ infinite, thus solving an open problem from arXiv:1502.03470. Also, we prove that the entrance measure of simple random ... More

Shape and local growth for multidimensional branching random walks in random environmentSep 18 2007Nov 13 2007We study branching random walks in random environment on the $d$-dimensional square lattice, $d \geq 1$. In this model, the environment has finite range dependence, and the population size cannot decrease. We prove limit theorems (laws of large numbers) ... More

Neutrino mass in GUT constrained supersymmetry with R-parity violation in light of neutrino oscillationsDec 14 2004The neutrino masses are generated in grand unified theory (GUT) constrained supersymmetric model with R-parity violation. The neutrinos acquire masses via tree-level neutrino-neutralino mixing as well as via one-loop radiative corrections. The theoretical ... More

Grand unified theory constrained supersymmetry and neutrinoless double beta decayFeb 24 1999We analyze the contributions to the neutrinoless double $\beta$ decay ($0\nu\beta\beta$-decay) coming from the Grand Unified Theory (GUT) constrained Minimal Supersymmetric Standard Model (MSSM) with trilinear R-parity breaking. We discuss the importance ... More

On the distinction between the classes of Dixmier and Connes-Dixmier tracesOct 11 2012In the present paper we prove that the classes of Dixmier and Connes-Dixmier traces differ even on the Dixmier ideal $\mathcal M_{1,\infty}$. We construct a Marcinkiewicz space $\mathcal M_\psi$ and a positive operator $T\in \mathcal M_\psi$ which is ... More

A Polynomial kernel for Proper Interval Vertex DeletionApr 22 2012It is known that the problem of deleting at most k vertices to obtain a proper interval graph (Proper Interval Vertex Deletion) is fixed parameter tractable. However, whether the problem admits a polynomial kernel or not was open. Here, we answers this ... More

Problems for the problem session of Workshop "Affine Algebraic Geometry", Oberwolfach, January 7--14, 2007Feb 18 2007Formulated problems concern the following topics: (1) Birationally nonequivalent linear actions; (2) Cayley degrees of simple algebraic groups; (3) Singularities of two-dimensional quotients.

Hasq Hash ChainsDec 14 2014This paper describes a particular hash-based records linking chain scheme. This scheme is simple conceptually and easy to implement in software. It allows for a simple and secure way to transfer ownership of digital objects between peers.

Integration of Flexible Web Based GUI in I-SOASNov 14 2010It is necessary to improve the concepts of the present web based graphical user interface for the development of more flexible and intelligent interface to provide ease and increase the level of comfort at user end like most of the desktop based applications. ... More

On multidimensional branching random walks in random environmentJul 06 2005We study branching random walks in random i.i.d. environment in $\Z^d, d \geq 1$. For this model, the population size cannot decrease, and a natural definition of recurrence is introduced. We prove a dichotomy for recurrence/transience, depending only ... More

Problems for problem sessionApr 25 2005Below are the problems that I formulated at Open Problems Session of {\it Workshop on Group Actions on Rational Varieties}, McGill University and University of Montreal, Canada, March 2002. To appear in: "Affine Algebraic Geometry" conference Proceedings ... More

Soft local times and decoupling of random interlacementsDec 07 2012Jul 28 2015In this paper we establish a decoupling feature of the random interlacement process I^u in Z^d, at level u, for d \geq 3. Roughly speaking, we show that observations of I^u restricted to two disjoint subsets A_1 and A_2 of Z^d are approximately independent, ... More

One-dimensional random interlacementsAug 02 2016We base ourselves on the construction of the two-dimensional random interlacements [12] to define the one-dimensional version of the process. For this constructions we consider simple random walks conditioned on never hitting the origin, which makes them ... More

Constructing rational curves on K3 surfacesJul 21 2009We develop a mixed-characteristic version of the Mori-Mukai technique for producing rational curves on K3 surfaces. We reduce modulo p, produce rational curves on the resulting K3 surface over a finite field, and lift to characteristic zero. As an application, ... More

Ordinary reduction of K3 surfacesFeb 09 2009Feb 16 2009Let X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension L/K such that X has ordinary reduction at every non-archimedean place of L outside a density zero set of places.

New Construction of Eigenstates and Separation of Variables for SU(N) Quantum Spin ChainsOct 25 2016Nov 21 2016We conjecture a new way to construct eigenstates of integrable XXX quantum spin chains with SU(N) symmetry. The states are built by repeatedly acting on the vacuum with a single operator Bgood(u) evaluated at the Bethe roots. Our proposal serves as a ... More

Structure of the two-neutrino double-$β$ decay matrix elements within perturbation theoryJun 02 2015The two-neutrino double-$\beta$ Gamow-Teller and Fermi transitions are studied within an exactly solvable model, which allows a violation of both spin-isospin SU(4) and isospin SU(2) symmetries, and is expressed with generators of the SO(8) group. It ... More

Algebras of log-integrable functions and operatorsSep 10 2015We show that certain spaces of log-integrable functions and operators are complete topological *-algebras with respect to a natural metric space structure. We explore connections with the Nevanlinna class of holomorphic functions.

Holomorphic functional calculus on upper triangular forms in finite von Neumann algebrasOct 09 2013The decompositions of an element of a finite von Neumann algebra into the sum of a normal operator plus an s.o.t.-quasinilpotent operator, obtained using the Haagerup--Schultz hyperinvariant projections, behave well with respect to holomorphic functional ... More

Inflaton mass in the nuMSM inflationSep 05 2008Dec 19 2008We analyse the reheating in the modification of \nuMSM (Standard Model with three right handed neutrinos with masses below the electroweak scale) where the sterile neutrino providing the Dark Matter is generated in decays of the additional inflaton field. ... More

Blow up and regularity for fractal Burgers equationApr 22 2008The paper is a comprehensive study of the existence, uniqueness, blow up and regularity properties of solutions of the Burgers equation with fractional dissipation. We prove existence of the finite time blow up for the power of Laplacian $\alpha < 1/2,$ ... More

Dixmier traces generated by exponentiation invariant generalised limitsOct 11 2012We define a new class of singular positive traces on the ideal $\mathcal M_{1,\infty}$ of $B(H)$ generated by exponentiation invariant generalized limits. We prove that this new class is strictly contained in the class of all Dixmier traces. We also prove ... More

On the uniform rectifiability of AD regular measures with bounded Riesz transform operator: the case of codimension 1Dec 20 2012Dec 21 2012We prove that if $\mu$ is a d-dimensional Ahlfors-David regular measure in $\R^{d+1}$, then the boundedness of the $d$-dimensional Riesz transform in $L^2(\mu)$ implies that the non-BAUP David-Semmes cells form a Carleson family. Combined with earlier ... More

Signal transduction and conversion with color centers in diamond and piezo-elementsApr 25 2014The ability to measure weak signals such as pressure, force, electric field, and temperature with nanoscale devices and high spatial resolution offers a wide range of applications in fundamental and applied sciences. Here we present a proposal for a hybrid ... More

On embeddings of finite metric spaces in $l_\infty^n$Mar 25 2009We prove that for any given integer $c>0$ any metric space on $n$ points may be isometrically embedded into $l_{\infty}^{n-c}$ provided $n$ is large enough.

Comment on "Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice" (Punk, M., Chowdhury, D. & Sachdev, S. Nature Physics 10, 289-293 (2014))Sep 14 2014The authors of a recent paper evidently take the view that the whole of progress made toward a theoretical understanding of the physics of quantum spin liquids (QSL) is associated with models of the kind proposed and applied in their present work. As ... More

Anomalous acoustoelectric effect in La_{0.67}Ca_{0.33}MnO_{3} filmsOct 19 2001We have studied acoustoelectric (AE) effect produced by surface acoustic waves (SAW) in a monolithic layered structure, composed of piezodielectric LiNbO_{3} substrate and La_{0.67}Ca_{0.33}MnO_{3} film. The experiments unexpectedly revealed in the longitudinal ... More

Intuitive dyadic calculus: the basicsAug 23 2015This book is a short introduction into dyadic analysis with applications to classical weighted norm inequalities.

Reduction of friction by normal oscillations. II. In-plane system dynamicsNov 21 2016The influence of out-of-plane oscillations on friction is a well-known phenomenon that has been studied extensively with various experimental methods, e.g. pin-on-disk tribometers. However, existing theoretical models have yet achieved only qualitative ... More

Hidden Symmetries and Integrable Hierarchy of the N=4 Supersymmetric Yang-Mills EquationsAug 31 2006We describe an infinite-dimensional algebra of hidden symmetries of N=4 supersymmetric Yang-Mills (SYM) theory. Our derivation is based on a generalization of the supertwistor correspondence. Using the latter, we construct an infinite sequence of flows ... More

The ontology of temperature in nonequilibrium systemsMay 05 2007The laws of thermodynamics provide a clear concept of the temperature for an equilibrium system in the continuum limit. Meanwhile, the equipartition theorem allows one to make a connection between the ensemble average of the kinetic energy and the uniform ... More

Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structureMay 17 2010Feb 27 2012The SU(4)-instanton equations are natural BPS equations for instantons on 8-manifolds. We study these equations on nearly Kaehler and Calabi-Yau torsion manifolds of the form M x G/H, with G/H a coset space and M a product of a torus with Euclidean space. ... More

Minimum Degree of the Difference of Two Polynomials over $\mathbb Q$. Part II: Davenport-Zannier pairsSep 26 2015Oct 24 2015In this paper we study pairs of polynomials with a given factorization pattern and such that the degree of their difference attains its minimum. We call such pairs of polynomials Davenport--Zannier pairs, or DZ-pairs for short. The paper is devoted to ... More

SXP 1062: an Evolved Magnetar in a BeXB ?Jun 15 2012SXP 1062, a newly discovered Be/X-ray binary in the Small Magellanic Cloud, provides the first example of a robust association with a supernova remnant (SNR). The short age estimated for the SNR qualifies SXP 1062 as the youngest known source in its class, ... More

Theoretical polarization dependence of the two-phonon double-resonant Raman spectra of grapheneJun 18 2012Jun 25 2012The experimental Raman spectra of graphene exhibit a few intense two-phonon bands, which are enhanced through double-resonant scattering processes. Though there are many theoretical papers on this topic, none of them predicts the spectra within a single ... More

Topological B-Model on Weighted Projective Spaces and Self-Dual Models in Four DimensionsJun 24 2004Sep 15 2004It was recently shown by Witten on the basis of several examples that the topological B-model whose target space is a Calabi-Yau (CY) supermanifold is equivalent to holomorphic Chern-Simons (hCS) theory on the same supermanifold. Moreover, for the supertwistor ... More

One Leptoquark to unify them? Unification in the light of $(g-2)_μ$, $R_{D^{(\star)}}$ and $R_K$ anomaliesNov 14 2016Leptoquarks have been proposed as a possible explanation of anomalies in $\bar{B}\mapsto D^{*} \tau \bar{\nu } $ decays, the apparent anomalies in $(g-2)_\mu$ experiments and a violation of lepton universality. We examine if such a proposal is compatible ... More

On the Kobayashi pseudometric, complex automorphisms and hyperkaehler manifoldsJan 17 2016Jul 25 2016We define the Kobayashi quotient of a complex variety by identifying points with vanishing Kobayashi pseudodistance between them and show that if a compact complex manifold has an automorphism whose order is infinite, then the fibers of this quotient ... More

Competitive division of a mixed mannaFeb 02 2017A mixed manna contains goods (that everyone likes), bads (that everyone dislikes), as well as items that are goods to some agents, but bads or satiated to others. If all items are goods and utility functions are homothetic, concave (and monotone), the ... More

Fine-grained complexity of integer programming: The case of bounded branch-width and rankJul 18 2016We use the Exponential Time and Strong Exponential Time hypotheses (ETH & SETH) to provide conditional lower bounds on the solvability of the integer programming (IP) problem. We provide evidence that the running times of known pseudo-polynomial time ... More

Birationally isotrivial fiber spacesMay 06 2014Nov 12 2015We prove that a family of varieties is birationally isotrivial if all the fibers are birational to each other.

Structural and mechanical properties of nitrogen-deficient cubic Cr-Mo-N and Cr-W-N systemsJul 09 2015The tendency for nitrogen deficiency in cubic Cr-Mo-N and Cr-W-N solid solutions is predicted by a comprehensive evaluation of the lattice spacing, mixing thermodynamics, and elastic properties using first-principles calculations and experimentally confirmed ... More

Abelian Calabi-Yau threefolds: Néron models and rational pointsOct 08 2016We study Calabi-Yau threefolds fibered by abelian surfaces, in particular, their arithmetic properties, e.g., N\'eron models and Zariski density.

Traces of compact operators and the noncommutative residueOct 12 2012Oct 18 2012We extend the noncommutative residue of M. Wodzicki on compactly supported classical pseudo-differential operators of order $-d$ and generalise A. Connes' trace theorem, which states that the residue can be calculated using a singular trace on compact ... More

Higgs boson mass and new physicsMay 13 2012Sep 27 2012We discuss the lower Higgs boson mass bounds which come from the absolute stability of the Standard Model (SM) vacuum and from the Higgs inflation, as well as the prediction of the Higgs boson mass coming from asymptotic safety of the SM. We account for ... More

Dividing goods and bads under additive utilitiesOct 12 2016When utilities are additive, we uncovered in our previous paper (Bogomolnaia et al. "Dividing Goods or Bads under Additive Utilities") many similarities but also surprising differences in the behavior of the familiar Competitive rule (with equal incomes), ... More