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Increasing the Lensing Figure of Merit through Higher Order Convergence MomentsFeb 08 2018The unprecedented quality, the increased dataset, and the wide area of ongoing and near future weak lensing surveys allows to move beyond the standard two points statistics thus making worthwhile to investigate higher order probes. As an interesting step ... More

Improving lensing cluster mass estimate with flexionJul 20 2016Gravitational lensing has long been considered as a valuable tool to determine the total mass of galaxy clusters. The shear profile as inferred from the statistics of ellipticity of background galaxies allows to probe the cluster intermediate and outer ... More

A characteristic long exact sequence for principal bundlesOct 27 2016Characteristic classes are invariants for principal bundles that take values in the cohomology of the base space. In the first part of this paper, we propose a uniform interpretation of arbitrary characteristic classes as an obstruction to group reduction ... More

Monodromy representations of completed coveringsJun 25 2014In this paper we consider completed coverings that are branched coverings in the sense of Fox. For completed coverings between PL manifolds we give a characterization of the existence of a monodromy representation and the existence of a locally compact ... More

Categorification of a parabolic Hecke module via sheaves on moment graphsAug 07 2012Aug 25 2013We investigate certain categories, associated by Fiebig with the geometric representation of a Coxeter system, via sheaves on Bruhat graphs. We modify Fiebig's definition of translation functors in order to extend it to the singular setting and use it ... More

Dynamics in the magnetic/dual magnetic monopoleOct 31 2011Nov 14 2011Inspired by the geometrical methods allowing the introduction of mechanical systems confined in the plane and endowed with exotic galilean symmetry, we resort to the Lagrange-Souriau 2-form formalism, in order to look for a wide class of 3D systems, involving ... More

Equifocal families in symmetric spaces of compact typeMay 14 1998An equifocal submanifold M of a symmetric space N of compact type induces a foliation with singular leaves on N. In this paper we will show how to reconstruct the equifocal foliation starting from one of the singular leaves, the so-called focal manifolds. ... More

A looping-delooping adjunction for topological spacesMar 16 2015Feb 23 2016Every principal G-bundle is classified up to equivalence by a homotopy class of maps into the classifying space of G. On the other hand, for every nice topological space Milnor constructed a strict model of loop space, that is a group. Moreover the morphisms ... More

Semi-infinite combinatorics in representation theoryMay 05 2015Dec 04 2015In this work we discuss some appearances of semi-infinite combinatorics in representation theory. We propose a semi-infinite moment graph theory and we motivate it by considering the (not yet rigorously defined) geometric side of the story. We show that ... More

Degeneration of trigonometric dynamical difference equations for quantum loop algebras to trigonometric Casimir equations for YangiansAug 10 2013Aug 08 2016We show that, under Drinfeld's degeneration of quantum loop algebras to Yangians, the trigonometric dynamical difference equations for the quantum affine algebra degenerate to the trigonometric Casimir differential equations for Yangians.

Non-commutative mechanics and Exotic Galilean symmetryNov 15 2010Jan 15 2011In order to derive a large set of Hamiltonian dynamical systems, but with only first order Lagrangian, we resort to the formulation in terms of Lagrange-Souriau 2-form formalism. A wide class of systems derived in different phenomenological contexts are ... More

Small x divergences in the Similarity RG approach to LF QCDNov 15 2001Feb 14 2002We study small x divergences in boost invariant similarity renormalization group approach to light-front QCD in a heavy quark-antiquark state. With the boost invariance maintained, the infrared divergences do not cancel out in the physical states, contrary ... More

Detection Techniques for Trapped IonsNov 28 2013Various techniques are used to detect the presence of charged particles stored in electromagnetic traps, their energy, their mass, or their internal states. Detection methods can rely on the variation of the number of trapped particles (destructive methods) ... More

Lipschitz-Killing curvatures of self-similar random fractalsSep 30 2010For a large class of self-similar random sets F in R^d geometric parameters C_k(F), k=0,...,d, are introduced. They arise as a.s. (average or essential) limits of the volume C_d(F(\epsilon)), the surface area C_{d-1}(F(\epsilon)) and the integrals of ... More

Irreducible modules for the degenerate double affine Hecke algebra of type $A$ as submodules of Verma modulesApr 06 2014Aug 08 2016We give a full classification, in terms of periodic skew diagrams, of irreducible semisimple modules in category O for the degenerate double affine Hecke algebra of type A which can be realized as submodules of Verma modules.

A Bhatnagar-Gross-Krook Approximation to Stochastic Scalar Conservation LawsMay 28 2013We study a BGK-like approximation to hyperbolic conservation laws forced by a multiplicative noise. First, we make use of the stochastic characteristics method and establish the existence of a solution for any fi xed parameter $\varepsilon$. In the next ... More

On the stable moment graph of an affine Kac--Moody algebraOct 11 2012In 1980 Lusztig proved a stabilisation property of the affine Kazhdan-Lusztig polynomials. In this paper we give a categorical version of such a result using the theory of sheaves on moment graphs. This leads us to associate with any Kac-Moody algebra ... More

Kazhdan-Lusztig combinatorics in the moment graph settingMar 11 2011Oct 09 2012Motivated by a question on the graded rank of the stalks of the canonical sheaf on a Bruhat graph, we lift some equalities concerning (parabolic) Kazhdan-Lusztig polynomials to this moment graph setting. Our proofs hold also in positive characteristic, ... More

Bound state studies in light-front QCD of mesons containing at least one heavy quarkApr 22 1996We present a QCD bound-state calculation based on a renormalization group-improved light-front Hamiltonian formalism. The QCD Hamiltonian is determined to second order in the coupling, and it includes two-body confining interactions. We make a momentum ... More

Note on the canonical genus of a knotNov 06 2014Jan 07 2015We show that every canonical Seifert surface is (up to isotopy) given by a knot diagram in which the (open) Seifert disks are pairwise disjoint.

Properties of quarks and mesons in the Dyson-Schwinger/Bethe-Salpeter approachJun 23 2011In this thesis, the Dyson-Schwinger - Bethe-Salpeter formalism is investigated and used to study the meson spectrum at zero temperature, as well as the chiral phase transition in finite-temperature QCD. First, the application of sophisticated matrix algorithms ... More

Scalar conservation laws with rough flux and stochastic forcingMar 12 2015Mar 23 2016In this paper, we study scalar conservation laws where the flux is driven by a geometric H\"older $p$-rough path for some $p\in (2,3)$ and the forcing is given by an It\^o stochastic integral driven by a Brownian motion. In particular, we derive the corresponding ... More

Homogeneous Vector Bundles on Symplectic GrassmanniansJun 27 2012In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grassmannian SpGr(2,N) of isotropic 2-planes are discussed.

Degenerate parabolic SPDEsFeb 09 2012We study the Cauchy problem for a scalar semilinear degenerate parabolic partial differential equation with stochastic forcing. In particular, we are concerned with the well-posedness in any space dimension. We adapt the notion of kinetic solution which ... More

Strong solutions to semilinear SPDEsFeb 09 2012We study the Cauchy problem for a semilinear stochastic partial differential equation driven by a finite-dimensional Wiener process. In particular, under the hypothesis that all the coefficients are sufficiently smooth and have bounded derivatives, we ... More

Small x divergences in a heavy quark-antiquark stateNov 29 2001With the current state of similarity renormalisation group approach to light-front QCD, it is possible to address with a degree of generality the issue of light-cone zero modes. We find, contrary to earlier results in a less general framework, that infrared ... More

Non-manifold monodromy spaces of branched coverings between manifoldsDec 02 2016By a construction of Berstein and Edmonds every proper branched cover f between manifolds is a factor of a branched covering orbit map from a locally connected and locally compact Hausdorff space called the monodromy space of f to the target manifold. ... More

Factorization of Second-order strictly hyperbolic operators with non-smooth coefficients and microlocal diagonalizationDec 23 2011We study strictly hyperbolic partial differential operators of second order with non-smooth coefficients. After modelling them as semiclassical Colombeau equations of log-type we provide a factorization procedure on some time-space-frequency domain. As ... More

Stability and convergence analysis of the kinematically coupled scheme for fluid-structure interactionNov 22 2013Jun 13 2014In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, for interaction between an incompressible viscous fluid and a thin structure. We consider a benchmark problem where ... More

Chevalley restriction theorem for vector-valued functions on quantum groupsApr 02 2010Jun 13 2011We generalize Chevalley's theorem about restriction of \mathfrak{g}-invariant polynomial functions \mathfrak{g}->C to W-invariant functions on the Cartan \mathfrak{h}->C. We consider the case when \mathfrak{g} is replaced by a quantum group and the target ... More

Entanglement and Quantum Information Transfer in Arrays of Interacting Quantum SystemsSep 03 2009This thesis examines some of the more fundamental requirements of a successful quantum computation, namely the ability to transmit quantum information with maximum efficiency, and the creation of entanglement. I focus specifically on neutron entanglement, ... More

Numerical approaches to star formation and SuperNovae energy feedback in simulations of galaxy clustersApr 08 2009The goal of this work is to to investigate different numerical approaches and to introduce a new, physically-based sub-grid model for the ISM physics, including a treatment of star formation and Type II supernovae energy feedback (MUPPI, MUlti-Phase Particle ... More

Optical microcavities as quantum-chaotic model systems: Openness makes the difference!Jan 08 2009Optical microcavities are open billiards for light in which electromagnetic waves can, however, be confined by total internal reflection at dielectric boundaries. These resonators enrich the class of model systems in the field of quantum chaos and are ... More

Universal K-matrix for quantum symmetric pairsJul 22 2015Jan 29 2016Let $\mathfrak{g}$ be a symmetrizable Kac-Moody algebra and let $U_q(\mathfrak{g})$ denote the corresponding quantized enveloping algebra. In the present paper we show that quantum symmetric pair coideal subalgebras $B_{c,s}$ of $U_q(\mathfrak{g})$ have ... More

Vacuum Cherenkov Radiation In Quantum Electrodynamics With High-Energy Lorentz ViolationJan 11 2011Mar 12 2011We study phenomena predicted by a renormalizable, CPT invariant extension of the Standard Model that contains higher-dimensional operators and violates Lorentz symmetry explicitly at energies greater than some scale Lambda_{L}. In particular, we consider ... More

Exterior depth and exterior generic annihilator numbersMar 23 2009Nov 16 2009We study the exterior depth of an $E$-module and its exterior generic annihilator numbers. For the exterior depth of a squarefree $E$-module we show how it relates to the symmetric depth of the corresponding $S$-module and classify those simplicial complexes ... More

The Lefschetz property for barycentric subdivisions of shellable complexesDec 10 2007We show that an 'almost strong Lefschetz' property holds for the barycentric subdivision of a shellable complex. From this we conclude that for the barycentric subdivision of a Cohen-Macaulay complex, the $h$-vector is unimodal, peaks in its middle degree ... More

Heat equation with a general stochastic measure on nested fractalsAug 02 2012A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are proved provided that the spectral dimension of the fractal is less than 4/3. ... More

A poset fiber theorem for doubly Cohen-Macaulay posets and its applications to non-crossing partitions and injective wordsJan 30 2011Apr 12 2011This paper studies topological properties of the lattices of non-crossing partitions of types A and B and of the poset of injective words. Specifically, it is shown that after the removal of the bottom and top elements (if existent) these posets are doubly ... More

Anderson orthogonality catastrophe in realistic quantum dotsDec 08 2009We study Anderson orthogonality catastrophe (AOC) for an parabolic quantum dot (PQD), one of the experimentally realizable few-electron systems. The finite number of electrons in PQD causes AOC to be incomplete, with a broad distribution of many-body ... More

Improving Network-on-Chip-based turbo decoder architecturesMay 05 2011In this work novel results concerning Network-on-Chip-based turbo decoder architectures are presented. Stemming from previous publications, this work concentrates first on improving the throughput by exploiting adaptive-bandwidth reduction techniques. ... More

Boundary-induced violation of the Dirac fermion parity and its signatures in local and global tunneling spectra of grapheneOct 03 2008May 04 2009Extended defects in graphene, such as linear edges, break the translational invariance and can also have an impact on the symmetries specific to massless Dirac-like quasiparticles in this material. The paper examines the consequences of a broken Dirac ... More

Category O for the rational Cherednik algebra associated to the complex reflection group G_12Nov 18 2010In this paper, we describe the irreducible representations in category O of the rational Cherednik algebra H_c(G_12,h) associated to the complex reflection group G_12 with reflection representation h for an arbitary complex parameter c. In particular, ... More

Regularity of the solutions to SPDEs in metric measure spacesSep 11 2014Nov 18 2015In this paper we study the regularity of non-linear parabolic PDEs and stochastic PDEs on metric measure spaces admitting heat kernels. In particular we consider mild function solutions to abstract Cauchy problems and show that the unique solution is ... More

Landesman-Lazer condition revisited: the influence of vanishing and oscillating nonlinearitiesApr 23 2015In this paper we deal with semilinear problems at resonance. We present a sufficient condition for the existence of a weak solution in terms of the asymptotic properties of nonlinearity. Our condition generalizes the classical Landesman-Lazer condition ... More

On the Lower Central Series Quotients of a Graded Associative AlgebraApr 21 2010Jul 17 2012We continue the study of the lower central series L_i(A) and its successive quotients B_i(A) of a noncommutative associative algebra A, defined by L_1(A)=A, L_{i+1}(A)=[A,L_i(A)], and B_i(A)=L_i(A)/L_{i+1}(A). We describe B_{2}(A) for A a quotient of ... More

The Harish-Chandra isomorphism for quantum GL_2Mar 30 2016We construct an explicit Harish-Chandra isomorphism, from the quantum Hamiltonian reduction of the algebra D_q(GL_2) of quantum differential operators on GL_2, to the spherical double affine Hecke algebra associated to GL2. The isomorphism holds for all ... More

Fractal curvature measures of self-similar setsJul 05 2010Sep 28 2010Fractal Lipschitz-Killing curvature measures C^f_k(F,.), k = 0, ..., d, are determined for a large class of self-similar sets F in R^d. They arise as weak limits of the appropriately rescaled classical Lipschitz-Killing curvature measures C_k(F_r,.) from ... More

An Exponential-Type Integrator for the KdV EquationJan 20 2016Feb 26 2016We introduce an exponential-type time-integrator for the KdV equation and prove its first-order convergence in $H^1$ for initial data in $H^3$ without imposing any CFL condition.

Analytic Solution of the Electromagnetic Eigenvalues Problem in a Cylindrical ResonatorOct 06 2016Resonant accelerating cavities are key components in modern particles accelerating facilities. These take advantage of electromagnetic fields resonating at microwave frequencies to accelerate charged particles. Particles gain finite energy at each passage ... More

Filtered modules on moment graphs and periodic patternsApr 07 2015We define and study a certain category that naturally arises from the quotient of an affine moment graph by the action of a root lattice. We show that it contains enough projectives and that the standard multiplicities of indecomposable projectives are ... More

The bar involution for quantum symmetric pairsSep 17 2014Jan 29 2016We construct a bar involution for quantum symmetric pair coideal subalgebras $B_{\mathbf{c},\mathbf{s}}$ corresponding to involutive automorphisms of the second kind of symmetrizable Kac-Moody algebras. To this end we give unified presentations of these ... More

A Generalization of NBC Bases to Broken Circuit Complexes of MatroidsMay 31 2010Brown has shown that the Stanley-Reisner ring of the broken circuit complex of a graph has a linear system of parameters which is defined in terms of the circuits and cocircuits of the graph. Later on Brown and Sagan conjectured a special set of monomials ... More

Renormalization Of High-Energy Lorentz Violating QEDDec 01 2009May 09 2010We study a QED extension that is unitary, CPT invariant and super-renormalizable, but violates Lorentz symmetry at high energies, and contains higher-dimension operators (LVQED). Divergent diagrams are only one- and two-loop. We compute the one-loop renormalizations ... More

Spectra and eigenvectors of the Segre transformationMar 21 2013Given two sequences $\fa=(a_n)_{n\geq 0}$ and $\fb=(b_n)_{n\geq 0}$ of complex numbers such that their generating series are of the form $\sum_{n\geq 0}a_n t^n=\frac{\fh(\fa)(t)}{(1-t)^{d_{\fa}}}$ and $\sum_{n\geq 0}b_n t^n=\frac{\fh(\fb)(t)}{(1-t)^{d_{\fb}}}$, ... More

Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDENov 11 2016We study quasilinear degenerate parabolic-hyperbolic stochastic partial differential equations with general multiplicative noise within the framework of kinetic solutions. Our results are twofold: First, we establish new regularity results based on averaging ... More

Lefschetz properties and the Veronese constructionDec 21 2011In this paper, we investigate Lefschetz properties of Veronese subalgebras. We show that, for a sufficiently large $r$, the $r$\textsuperscript{th} Veronese subalgebra of a Cohen-Macaulay standard graded $K$-algebra has properties similar to the weak ... More

Enumerative $g$-theorems for the Veronese construction for formal power series and graded algebrasAug 14 2011Let $(a_n)_{n \geq 0}$ be a sequence of integers such that its generating series satisfies $\sum_{n \geq 0} a_nt^n = \frac{h(t)}{(1-t)^d}$ for some polynomial $h(t)$. For any $r \geq 1$ we study the coefficient sequence of the numerator polynomial $h_0(a^{<r ... More

Orthogonality catastrophe and Kondo effect in grapheneMay 03 2007Anderson's orthogonality catastrophe in graphene, at energies close to the Dirac point, is analyzed. It is shown that, in clean systems, the orthogonality catastrophe is suppressed, due to the vanishing density of states at the Dirac point. In the presence ... More

Hartree-Fock Approximation and EntanglementApr 24 2007The relation between the correlation energy and the entanglement is analytically constructed for the Moshinsky's model of two coupled harmonic oscillators. It turns out that the two quantities are far to be proportional, even at very small couplings. ... More

Electromagnetic duality and light-front coordinatesJun 23 1998Nov 13 1998We review the light-front Hamiltonian approach for the Abelian gauge theory in 3+1 dimensions, and then study electromagnetic duality in this framework.

Stability and convergence analysis of the kinematically coupled scheme and its extensions for the fluid-structure interactionJan 04 2016Aug 29 2016In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, and its extensions for the interaction between an incompressible, viscous fluid and a thin, elastic structure. We consider ... More

Filtered moment graph sheavesAug 23 2015We introduce the notion of (co-)filtered sheaves on quotients of moment graphs by a group action. We then introduce a (co-)filtered version of the canonical sheaves of Braden and MacPherson and show that their global sections are the indecomposable projective ... More

A Robust Robust Optimization ResultApr 29 2011We study the loss in objective value when an inaccurate objective is optimized instead of the true one, and show that "on average" this loss is very small, for an arbitrary compact feasible region.

VLSI Architectures for WIMAX Channel DecodersJan 26 2010This chapter describes the main architectures proposed in the literature to implement the channel decoders required by the WiMax standard, namely convolutional codes, turbo codes (both block and convolutional) and LDPC. Then it shows a complete design ... More

Turbo NOC: a framework for the design of Network On Chip based turbo decoder architecturesSep 10 2009This work proposes a general framework for the design and simulation of network on chip based turbo decoder architectures. Several parameters in the design space are investigated, namely the network topology, the parallelism degree, the rate at which ... More

Curvature densities of self-similar setsSep 30 2010For a large class of self-similar sets F in R^d analogues of the higher order mean curvatures of differentiable submanifolds are introduced, in particular, the fractal Gauss-type curvature. They are shown to be the densities of associated fractal curvature ... More

On time regularity of stochastic evolution equations with monotone coefficientsOct 06 2015We report on a time regularity result for stochastic evolutionary PDEs with monotone coefficients. If the diffusion coefficient is bounded in time without additional space regularity we obtain a fractional Sobolev type time regularity of order up to $\tfrac{1}{2}$ ... More

Local monodromy of branched covers and dimension of the branch setSep 22 2015May 12 2016We show that, if the local dimension of the branch set of a discrete and open mapping $f\colon M\to N$ between $n$-manifolds is less than $(n-2)$ at a point $y$ of the image of the branch set $fB_f$, then the local monodromy of $f$ at $y$ is perfect. ... More

Algebraic properties of classes of path idealsMar 18 2013Apr 17 2013We consider path ideals associated to special classes of posets such as tree posets and cycles. We express their property of being sequentially Cohen-Macaulay in terms of the underlying poset. Moreover, monomial ideals, which arise from the Luce-decomposable ... More

Spin-orbit coupling, edge states and quantum spin Hall criticality due to Dirac fermion confinement: The case study of grapheneMar 05 2008Nov 26 2008We propose a generalized Dirac fermion description for the electronic state of graphene terminated by a zigzag edge. This description admits a spin-orbit coupling needed to preserve time-reversal invariance of the zigzag confinement, otherwise, for spinless ... More

Note on restoring manifest rotational symmetry in hyperfine and fine structure in light-front QEDMay 21 1996We study the part of the renormalized, cutoff QED light-front Hamiltonian that does not change particle number. The Hamiltonian contains interactions that must be treated in second-order bound state perturbation theory to obtain hyperfine structure. We ... More

A two-sided ideal trick in Hopf algebroid axiomaticsOct 12 2016Recently S. Meljanac proposed a construction of a class of examples of an algebraic structure with properties very close to the Hopf algebroids $H$ over a noncommutative base $A$ of other authors. His examples come along with a subalgebra $\mathcal{B}$ ... More

Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3Apr 13 2010Jun 22 2010This paper describes irreducible representations in category O of the rational Cherednik algebra H_c(H_3,h) associated to the exceptional Coxeter group H_3 and any complex parameter c. We compute the characters of all these representations explicitly. ... More

Legendrian cycles and curvaturesFeb 10 2014Properties of general Legendrian cycles $T$ acting in ${\mathbb R}^d\times S^{d-1}$ are studied. In particular, we give short proofs for certain uniqueness theorems with respect to the projections on the first and second component of such currents: In ... More

Optical Biochemical Platforms for Nanoparticles DetectionJan 09 2014In the biochemical sensing field, a fervent research activity related to the development of real time, low cost, compact and high throughput devices for the detection and characterization of natural or synthetic nanoparticles NPs actually exists. In this ... More

Stochastic Navier-Stokes equations for compressible fluidsSep 09 2014Dec 18 2015We study the Navier-Stokes equations governing the motion of isentropic compressible fluid in three dimensions driven by a multiplicative stochastic forcing. In particular, we consider a stochastic perturbation of the system as a function of momentum ... More

Category O for Rational Cherednik Algebras H_{t,c}(GL_2(F_p),h) in Characteristic pJul 29 2011Dec 11 2012In this paper we describe the characters of irreducible objects in category O for the rational Cherednik algebra associated to GL_2(F_p) over an algebraically closed field of positive characteristic p, for any value of the parameter t and generic value ... More

Representations of Rational Cherednik Algebras in Positive CharacteristicJul 03 2011Nov 05 2012We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on rational Cherednik algebras associated to the general and special linear group ... More

Unidirectional light emission from high-Q modes in optical microcavitiesDec 19 2005Feb 28 2006We introduce a new scheme to design optical microcavities supporting high-Q modes with unidirectional light emission. This is achieved by coupling a low-Q mode with unidirectional emission to a high-Q mode. The coupling is due to enhanced dynamical tunneling ... More

Multiple beam interference in a quadrupolar glass fiberJun 20 2001Motivated by the recent observation of periodic filter characteristics of an oval-shaped micro-cavity, we study the possible interference of multiple beams in the far field of a laser-illuminated quadrupolar glass fiber. From numerical ray-tracing simulations ... More

Combining directional light output and ultralow loss in deformed microdisksSep 12 2007A drawback of high-quality modes in optical microdisks is their isotropic light emission characteristics. Here we report a novel, robust, and general mechanism that results in highly directional light emission from those modes. This surprising finding ... More

Correcting ray optics at curved dielectric microresonator interfaces: Phase-space unification of Fresnel filtering and the Goos-Haenchen shiftJun 02 2006Jun 05 2006We develop an amended ray optics description for reflection at the curved dielectric interfaces of optical microresonators which improves the agreement with wave optics by about one order of magnitude. The corrections are separated into two contributions ... More

Quantum chaos in optical systems: The annular billiardOct 01 2002We study the dielectric annular billiard as a quantum chaotic model of a micro-optical resonator. It differs from conventional billiards with hard-wall boundary conditions in that it is partially open and composed of two dielectric media with different ... More

Diffusion on edges of insulating graphene with intravalley and intervalley scatteringAug 09 2012Nov 09 2012Band gap engineering in graphene may open the routes towards transistor devices in which electric current can be switched off and on at will. One may, however, ask if a semiconducting band gap alone is sufficient to quench the current in graphene. In ... More

Initial bound state studies in light-front QCDNov 28 1995We present the first numerical QCD bound state calculation based on a renormalization group-improved light-front Hamiltonian formalism. The QCD Hamiltonian is determined to second order in the coupling, and it includes two-body confining interactions. ... More

Measurements of charged-particle distributions with the ATLAS detectorOct 19 2016Inclusive charged-particle measurements probe the low-energy region of the non-perturbative quantum chromodynamics. The ATLAS collaboration has recently measured the charged-particle multiplicity and its dependence on transverse momentum and pseudorapidity ... More

Quasilinear parabolic stochastic partial differential equations: existence, uniquenessJan 03 2015In this paper, we provide a direct approach to the existence and uniqueness of strong (in the probabilistic sense) and weak (in the PDE sense) solutions to quasilinear stochastic partial differential equations, which are neither monotone nor locally monotone. ... More

The Multiplicity Conjecture for Barycentric SubdivisionsJun 12 2006May 14 2007For a simplicial complex $\Delta$ we study the effect of barycentric subdivision on ring theoretic invariants of its Stanley-Reisner ring. In particular, for Stanley-Reisner rings of barycentric subdivisions we verify a conjecture by Huneke and Herzog ... More

Exotic galilean symmetry in non-commutative field theoryJul 12 2002Jun 02 2003The non-relativistic version of the non commutative Field Theory, recently introduced by Lozano, Moreno and Schaposnik [1], is shown to admit the ``exotic'' Galilean symmetry found before for point particles.

Designing and understanding directional emission from spiral microlasersDec 16 2008The availability of microlasers with highly directional far-field characteristics is crucial for future applications. To this end we study the far-field emission of active microcavities with spiral shape using the Schroedinger-Bloch model. We find that ... More

An attempt to do without dark matterJun 30 2000The discrepancy between dynamical mass measures of objects such as galaxies and the observed distribution of luminous matter in the universe is typically explained by invoking an unseen ``dark matter'' component. Dark matter must necessarily be non-baryonic. ... More

The emission spectra of radioweak quasars. I. The farinfrared emissionJun 23 1993We model farinfrared (FIR) spectra of radioweak quasars with the assumption that the emission is from heated dust, and that the heating is due to the central engine via energetic particles. These energetic particles are diffusing from a postulated source ... More

The eigenvalue spectrum for dynamical Chirally Improved fermionsSep 27 2007We study the eigenvalues of Dirac operators in QCD with two mass degenerate dynamical fermions. The gauge configurations have been obtained with HMC and the so-called Chirally Improved fermionic action. We compare eigenvalues obtained for the overlap ... More

Balanced generalized lower bound inequality for simplicial polytopesMar 22 2015A remarkable and important property of face numbers of simplicial polytopes is the generalized lower bound inequality, which says that the $h$-numbers of any simplicial polytope are unimodal. Recently, for balanced simplicial $d$-polytopes, that is simplicial ... More

Back reaction of a long range force on a Friedmann-Robertson-Walker backgroundJun 07 2000It is possible that there may exist long-range forces in addition to gravity. In this paper we construct a simple model for such a force based on exchange of a massless scalar field and analyze its effect on the evolution of a homogeneous Friedmann-Robertson-Walker ... More

Weakly holomorphic modular forms for some moonshine groupsApr 25 2014May 13 2014In an article in the Pure and Applied Mathematics Quarterly in 2008, Duke and Jenkins investigated a certain natural basis of the space of weakly holomorphic modular forms for the full modular group $SL_2({\bf Z})$. We show here that their results can ... More

Curvature-direction measures of self-similar setsNov 18 2011Nov 14 2012We obtain fractal Lipschitz-Killing curvature-direction measures for a large class of self-similar sets F in R^d. Such measures jointly describe the distribution of normal vectors and localize curvature by analogues of the higher order mean curvatures ... More

Degenerate flag varieties of type A and C are Schubert varietiesMar 12 2014Jul 16 2014We show that in type A or C any degenerate flag variety is in fact isomorphic to a Schubert variety in an appropriate partial flag manifold.

Dynamics of semiclassical Bloch wave - packetsNov 14 2006The semiclassical approximation for electron wave-packets in crystals leads to equations which can be derived from a Lagrangian or, under suitable regularity conditions, in a Hamiltonian framework. In the plane, these issues are studied %in presence of ... More