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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

Minkowski Functionals of Convergence Maps and the Lensing Figure of MeritMay 01 2019Minkowski functionals (MFs) quantify the topological properties of a given field probing its departure from Gaussianity. We investigate their use on lensing convergence maps in order to see whether they can provide further insights on the underlying cosmology ... More

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

Calibration of colour gradient bias in shear measurement using HST/CANDELS dataAug 21 2017Apr 19 2018Accurate shape measurements are essential to infer cosmological parameters from large area weak gravitational lensing studies. The compact diffraction-limited point-spread function (PSF) in space-based observations is greatly beneficial, but its chromaticity ... 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

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

Existence results for a Cauchy-Dirichlet parabolic problem with a repulsive gradient termMar 02 2017May 05 2017We study the existence of solutions of a nonlinear parabolic problem of Cauchy-Dirichlet type having a lower order term which depends on the gradient. The model we have in mind is the following: \[ \begin{cases}\begin{split} & u_t-\text{div}(A(t,x)\nabla ... 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

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

Factorization of second-order strictly hyperbolic operators with logarithmic slow scale coefficients and generalized microlocal approximationsJan 23 2017Jun 24 2017We give a factorization procedure for a strictly hyperbolic partial differential operator of second order with logarithmic slow scale coefficients. From this we can microlocally diagonalize the full wave operator which results in a coupled system of two ... More

Weighted limits in an $(\infty,1)$-categoryFeb 02 2019We introduce the notion of weighted limit in an arbitrary quasi-category, suitably generalizing ordinary limits in a quasi-category, and classical weighted limits in an ordinary category. This is accomplished by generalizing Joyal's approach: we identify ... 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

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

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

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

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.

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

Neutrino properties from cosmologyMar 30 2018Precision cosmology enables to test fundamental physics, including neutrino properties, with unprecedented accuracy. In this work, I review the basics of neutrino cosmology. I briefly describe how neutrinos affect cosmological observables, such as anisotropies ... 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

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

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

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.

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.

Characteristic classes as complete obstructionsOct 27 2016Oct 12 2018In the first part of this paper, we propose a uniform interpretation of characteristic classes as obstructions to the reduction of the structure group and to the existence of an equivariant extension of a certain homomorphism defined a priori only on ... 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

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

The Important Role of Cosmic-Ray Re-AccelerationApr 29 2019In the last decades, the improvement of high energy instruments has enabled a deeper understanding of the Cosmic Ray origin issue. In particular, the gamma-ray satellites AGILE (Astrorivelatore Gamma ad Immagini LEggero) and Fermi-LAT (Fermi-Large Area ... 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

Higher order moments of lensing convergence - I. Estimate from simulationsJun 13 2016Jun 29 2016Large area lensing surveys are expected to make it possible to use cosmic shear tomography as a tool to severely constrain cosmological parameters. To this end, one typically relies on second order statistics such as the two - point correlation fucntion ... 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.

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

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

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 2016Sep 17 2017We 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

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

Following Schubert varieties under Feigin's degeneration of the flag varietyFeb 12 2018We describe the effect of Feigin's flat degeneration of the type $\textrm{A}$ flag variety on its Schubert varieties. In particular, we study when they stay irreducible and in several cases we are able to encode reducibility of the degenerations in terms ... More

Local and global time decay for parabolic equations with super linear first order termsJul 06 2017We study a class of parabolic equations having first order terms with superlinear (and subquadratic) growth. The model problem is the so-called viscous Hamilton-Jacobi equation with superlinear Hamiltonian. We address the problem of having unbounded initial ... 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

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

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

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

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

Symmetries of Quantified Boolean FormulasFeb 12 2018While symmetries are well understood for Boolean formulas and successfully exploited in practical SAT solving, less is known about symmetries in quantified Boolean formulas (QBF). There are some works introducing adaptions of propositional symmetry breaking ... More

A Tube-based Robust MPC for a Fixed-wing UAV: an Application for Precision FarmingMay 11 2018The techniques of precision agriculture include the possibility to execute crop monitoring tasks through the application of Unmanned Aerial Vehicles (UAVs). These platforms are flexible, easy to use and low-cost, and they are the best candidates for improving ... 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

Nerves of 2-categories and 2-categorification of $(\infty,2)$-categoriesFeb 14 2019We show that the homotopy theory of strict 2-categories embeds in that of $(\infty,2)$-categories in the form of 2-precomplicial sets. More precisely, we construct a nerve-categorification adjunction that is a Quillen pair between Lack's model structure ... 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

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

Analytical Fresnel laws at generic curved interfacesApr 11 2019Fresnel laws, the quantitative information of the amount of light that is reflected from a planar interface in dependence on its angle of incidence, are at the core of ray optics. However, these formulae do not hold at curved interfaces and deviations ... 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

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 energy method for rough partial differential equationsJul 24 2017Mar 06 2019We present a well-posedness and stability result for a class of nondegenerate linear parabolic equations driven by rough paths. More precisely, we introduce a notion of weak solution that satisfies an intrinsic formulation of the equation in a suitable ... 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

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

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

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

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

Global solutions to elliptic and parabolic $Φ^4$ models in Euclidean spaceApr 30 2018Jan 25 2019We prove existence of global solutions to singular SPDEs on $\mathbb{R}^d$ with cubic nonlinearities and additive white noise perturbation, both in the elliptic setting in dimensions $d=4,5$ and in the parabolic setting for $d=2,3$. We prove uniqueness ... 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

An exponential-type integrator for the KdV equationJan 20 2016Dec 15 2016We introduce an exponential-type time-integrator for the KdV equation and prove its first-order convergence in $H^1$ for initial data in $H^3$. Furthermore, we outline the generalization of the presented technique to a second-order method.

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

The Steinberg-Lusztig tensor product theorem, Casselman-Shalika and LLT polynomialsApr 10 2018In this paper we establish a Steinberg-Lusztig tensor product theorem for abstract Fock space. This is a generalization of the type A result of Leclerc-Thibon and a Grothendieck group version of the Steinberg-Lusztig tensor product theorem for representations ... More

A PDE construction of the Euclidean $Φ^4_3$ quantum field theoryOct 03 2018Dec 02 2018We present a self-contained construction of the Euclidean $\Phi^4$ quantum field theory on $\mathbb{R}^3$ based on PDE arguments. More precisely, we consider an approximation of the stochastic quantization equation on $\mathbb{R}^3$ defined on a periodic ... 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

The Polymorphic Evolution Sequence for Populations with Phenotypic PlasticityAug 04 2017In this paper we study a class of stochastic individual-based models that describe the evolution of haploid populations where each individual is characterised by a phenotype and a genotype. The phenotype of an individual determines its natural birth- ... 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

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

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

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

Pairwise likelihood inference for the multivariate ordered probit modelJan 29 2019This paper provides a closed form expression for the pairwise score vector for the multivariate ordered probit model. This result has several implications in likelihood-based inference. It is indeed used both to speed-up gradient based optimization routines ... More

An energy method for rough partial differential equationsJul 24 2017We present a well-posedness and stability result for a class of nondegenerate linear parabolic equations driven by rough paths. More precisely, we introduce a notion of weak solution that satisfies an intrinsic formulation of the equation in a suitable ... More

Super-directional light emission and emission reversal from micro cavity arraysMar 19 2019Optical microdisk cavities with certain asymmetric shapes are known to possess unidirectional far-field emission properties. Here, we investigate arrays of these dielectric microresonators with respect to their emission properties resulting from the collective ... More

Sheaves on the alcoves and modular representations IJan 11 2018Apr 06 2018We consider the set of affine alcoves associated with a root system R as a topological space and consider a certain category S of sheaves of Z-modules on this space. Here Z is the structure algebra of the root system over a field k. To any wall reflection ... More

Consequences of a wave-correction extended ray dynamics for integrable and chaotic optical microcavitiesMay 29 2017Aug 21 2017Ray optics has proven to be an effcient and versatile tool to describe dielectric optical microcavities and their far-field emission based on the principle of ray-wave correspondence. Whereas often the well-known ray-optics at planar interfaces yields ... More

Sheaves on the alcoves and modular representations IIJan 11 2018Apr 06 2018We relate the category of sheaves on alcoves that was constructed in "Sheaves on the alcoves and modular representations I" to the representation theory of reductive algebraic groups. In particular, we show that its indecomposable projective objects encode ... More

Cohomology of the flag variety under PBW degenerationsJun 21 2017Oct 30 2017PBW degenerations are a particularly nice family of flat degenerations of type A flag varieties. We show that the cohomology of any PBW degeneration of the flag variety surjects onto the cohomology of the original flag variety, and that this holds in ... More

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

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

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.

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

Short Proofs for Some Symmetric Quantified Boolean FormulasApr 04 2018We exploit symmetries to give short proofs for two prominent formula families of QBF proof complexity. On the one hand, we employ symmetry breakers. On the other hand, we enrich the (relatively weak) QBF resolution calculus Q-Res with the symmetry rule ... More

Model structures for $(\infty,n)$-categories on (pre)stratified simplicial sets and prestratified simplicial spacesSep 27 2018We prove the existence of a model structure on the category of stratified simplicial sets whose fibrant objects are precisely $n$-complicial sets, which are a proposed model for $(\infty,n)$-categories. This model structure was first conjectured by Riehl ... 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.

On the vanishing viscosity limit of the isentropic Navier-Stokes systemMay 07 2019We show that any weakly converging sequence of solutions to the isentropic Navier-Stokes system on the full physical space $R^d$, $d=2,3$, in the vanishing viscosity limit either (i) converges strongly in the energy norm, or (ii) the limit is not a weak ... 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

Twisted quadratic foldings of root systemsJun 23 2018Apr 24 2019In the present paper we introduce and study twisted foldings of root systems which generalize usual involutive foldings corresponding to automorphisms of Dynkin diagrams. Our motivating example is the celebrated projection of the root system of type E8 ... More