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Food recognition and recipe analysis: integrating visual content, context and external knowledgeJan 22 2018The central role of food in our individual and social life, combined with recent technological advances, has motivated a growing interest in applications that help to better monitor dietary habits as well as the exploration and retrieval of food-related ... More

Depth CNNs for RGB-D scene recognition: learning from scratch better than transferring from RGB-CNNsJan 21 2018Scene recognition with RGB images has been extensively studied and has reached very remarkable recognition levels, thanks to convolutional neural networks (CNN) and large scene datasets. In contrast, current RGB-D scene data is much more limited, so often ... More

Cross-Modulation Networks for Few-Shot LearningDec 01 2018A family of recent successful approaches to few-shot learning relies on learning an embedding space in which predictions are made by computing similarities between examples. This corresponds to combining information between support and query examples ... More

Scene recognition with CNNs: objects, scales and dataset biasJan 21 2018Since scenes are composed in part of objects, accurate recognition of scenes requires knowledge about both scenes and objects. In this paper we address two related problems: 1) scale induced dataset bias in multi-scale convolutional neural network (CNN) ... More

Learning Effective RGB-D Representations for Scene RecognitionSep 17 2018Deep convolutional networks (CNN) can achieve impressive results on RGB scene recognition thanks to large datasets such as Places. In contrast, RGB-D scene recognition is still underdeveloped in comparison, due to two limitations of RGB-D data we address ... More

On quantum algebra symmetries of discrete Schrödinger equationsAug 10 1998Two non-standard quantum deformations of the (1+1) Schr\"odinger algebra are identified with the symmetry algebras of either a space or time uniform lattice discretization of the Schr\"odinger equation. For both cases, the deformation parameter of the ... More

Mix and match networks: encoder-decoder alignment for zero-pair image translationApr 06 2018We address the problem of image translation between domains or modalities for which no direct paired data is available (i.e. zero-pair translation). We propose mix and match networks, based on multiple encoders and decoders aligned in such a way that ... More

Mix and match networks: multi-domain alignment for unpaired image-to-image translationMar 08 2019This paper addresses the problem of inferring unseen cross-domain and cross-modal image-to-image translations between multiple domains and modalities. We assume that only some of the pairwise translations have been seen (i.e. trained) and infer the remaining ... More

Universal integrals for superintegrable systems on N-dimensional spaces of constant curvatureOct 17 2006An infinite family of classical superintegrable Hamiltonians defined on the N-dimensional spherical, Euclidean and hyperbolic spaces are shown to have a common set of (2N-3) functionally independent constants of the motion. Among them, two different subsets ... More

Rotate your Networks: Better Weight Consolidation and Less Catastrophic ForgettingFeb 08 2018In this paper we propose an approach to avoiding catastrophic forgetting in sequential task learning scenarios. Our technique is based on a network reparameterization that approximately diagonalizes the Fisher Information Matrix of the network parameters. ... More

Transferring GANs: generating images from limited dataMay 04 2018Oct 02 2018Transferring the knowledge of pretrained networks to new domains by means of finetuning is a widely used practice for applications based on discriminative models. To the best of our knowledge this practice has not been studied within the context of generative ... More

Memory Replay GANs: learning to generate images from new categories without forgettingSep 06 2018Oct 29 2018Previous works on sequential learning address the problem of forgetting in discriminative models. In this paper we consider the case of generative models. In particular, we investigate generative adversarial networks (GANs) in the task of learning new ... More

Domain-adaptive deep network compressionSep 04 2017Sep 06 2017Deep Neural Networks trained on large datasets can be easily transferred to new domains with far fewer labeled examples by a process called fine-tuning. This has the advantage that representations learned in the large source domain can be exploited on ... More

Rotate your Networks: Better Weight Consolidation and Less Catastrophic ForgettingFeb 08 2018Dec 12 2018In this paper we propose an approach to avoiding catastrophic forgetting in sequential task learning scenarios. Our technique is based on a network reparameterization that approximately diagonalizes the Fisher Information Matrix of the network parameters. ... More

Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformationsJan 24 2010Mar 01 2010We show how the constant curvature spacetimes of 3d gravity and the associated symmetry algebras can be derived from a single quantum deformation of the 3d Lorentz algebra sl(2,R). We investigate the classical Drinfel'd double of a "hybrid" deformation ... More

On the Evans-Krylov theoremMay 08 2009Sep 08 2010In this note, motivated by our work on integral fully nonlinear equations, we provide a variation of the proof of Evans-Krylov theorem about the interior $C^{2,\alpha}$ a priori estimate for concave fully nonlinear elliptic equations. The proof we present ... More

LIUM-CVC Submissions for WMT18 Multimodal Translation TaskSep 01 2018This paper describes the multimodal Neural Machine Translation systems developed by LIUM and CVC for WMT18 Shared Task on Multimodal Translation. This year we propose several modifications to our previous multimodal attention architecture in order to ... More

Twisted (2+1) $κ$-AdS Algebra, Drinfel'd Doubles and Non-Commutative SpacetimesMar 19 2014May 18 2014We construct the full quantum algebra, the corresponding Poisson-Lie structure and the associated quantum spacetime for a family of quantum deformations of the isometry algebras of the (2+1)-dimensional anti-de Sitter (AdS), de Sitter (dS) and Minkowski ... More

Lie-Hamilton systems on curved spaces: A geometrical approachDec 28 2016Sep 27 2017A Lie-Hamilton system is a nonautonomous system of first-order ordinary differential equations describing the integral curves of a $t$-dependent vector field taking values in a finite-dimensional Lie algebra, a Vessiot-Guldberg Lie algebra, of Hamiltonian ... More

On the rationality and holomorphy of Langlands-Shahidi L-functions over function fieldsMay 22 2015Sep 01 2015We prove three main results: all Langlands-Shahidi automorphic $L$-functions over function fields are rational; after twists by highly ramified characters our automorphic $L$-functions become polynomials; and, if $\pi$ is a globally generic cuspidal automorphic ... More

Finite-temperature properties of the two-orbital Anderson modelSep 20 1999The metallic phase of the two-orbital Anderson lattice is study in the limit of infinite spatial dimensions, where a second order perturbation treatment is used to solve the single-site problem. Using this approximation, in the Kondo regime, we find that ... More

Electronic Phase Separation in Manganite/Insulator InterfacesNov 22 2006By using a realist microscopic model, we study the electric and magnetic properties of the interface between a half metallic manganite and an insulator. We find that the lack of carriers at the interface debilitates the double exchange mechanism, weakening ... More

Effect of the Equivalence Between Topological and Electric Charge on the Magnetization of the Hall FerromagnetJul 01 1999The dependence on temperature of the spin magnetization of a two-dimensional electron gas at filling factor unity is studied. Using classical Monte Carlo simulations we analyze the effect that the equivalence between topological and electrical charge ... More

Magnetic Domain Walls in Double Exchange MaterialsMay 14 1999We study magnetic domain walls in double exchange materials. The domain wall width is proportional to the square root of the stiffness. In the double exchange model the stiffness has two terms: the kinetic energy and the Hartree term. The kinetic energy ... More

Phase Diagram of Half Doped ManganitesJan 03 2005Jan 04 2005An analysis of the properties of half-doped manganites is presented. We build up the phase diagram of the system combining a realistic calculation of the electronic properties and a mean field treatment of the temperature effects. The electronic structure ... More

Modeling stochastic Ca$^{2+}$ release from a cluster of IP$_3$-sensitive receptorsMay 31 2004Jul 29 2004We focused our attention on Ca$^{2+}$ release from the endoplasmic reticulum through a cluster of inositol 1,4,5-trisphosphate (IP$_3$) receptor channels. The random opening and closing of these receptors introduce stochastic effects that have been observed ... More

Anomalous massless modesDec 04 2014Some years ago Anton Yu. Alekseev et al. conjectured the existence of massless modes in the spectrum of excitations ("anomalous massless modes") building upon certain similarities between a spontaneous symmetry breaking and the interplay of axial and ... More

The Lagrangian cobordism group of $T^2$Oct 30 2013Nov 25 2014We compute the Lagrangian cobordism group of the standard symplectic 2-torus and prove that it is isomorphic to the Grothendieck group of its derived Fukaya category. The proofs use homological mirror symmetry for the 2-torus.

Leptogenesis in a prompt decay scenarioOct 20 2002Dec 15 2003Leptogenesis is studied within the seesaw neutrino mass model in a regime where all sterile neutrinos have prompt rather than delayed decays. It is shown that during neutrino thermal production lepton asymmetries are generated in both active lepton and ... More

On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusionNov 26 2009Sep 08 2010We prove that the Hamilton Jacobi equation for an arbitrary Hamiltonian $H$ (locally Lipschitz but not necessarily convex) and fractional diffusion of order one (critical) has classical $C^{1,\alpha}$ solutions. The proof is achieved using a new H\"older ... More

The double obstacle problem on non divergence formSep 20 2017We study the regularity of the solution of the double obstacle problem form for fully non linear parabolic and elliptic operators. We show that when the obstacles are sufficiently regular the solution is $C^{1,\alpha}$ in the interior for both the parabolic ... More

Some examples of F and D-term SUSY breaking modelsOct 02 2009Oct 10 2009In this paper we investigate the possibility of finding models that, in the global minimum, break SUSY by a combined F and D-term effect. We find that if the superpotential is a cubic polynomial in the fields and the Kahler potential is canonical this ... More

Artin groups of spherical type up to isomorphismOct 20 2003We prove that two Artin groups of spherical type are isomorphic if and only if their defining Coxeter graphs are the same.

Eventual regularization for the slightly supercritical quasi-geostrophic equationDec 29 2008Sep 20 2009We prove that weak solutions of a slightly supercritical quasi-geostrophic equation become smooth for large time. We prove it using a De Giorgi type argument using ideas from a recent paper by Caffarelli and Vasseur.

Upper bounds for parabolic equations and the Landau equationNov 10 2015Aug 22 2016We consider a parabolic equation in nondivergence form, defined in the full space $[0,\infty) \times \mathbb R^d$, with a power nonlinearity as the right hand side. We obtain an upper bound for the solution in terms of a weighted control in $L^p$. This ... More

Spectral methods for orthogonal rational functionsApr 25 2007An operator theoretic approach to orthogonal rational functions on the unit circle with poles in its exterior is presented in this paper. This approach is based on the identification of a suitable matrix representation of the multiplication operator associated ... More

Oscillation properties of scalar conservation lawsAug 10 2017Jun 09 2018We obtain several new regularity results for solutions of scalar conservation laws satisfying the genuine nonlinearity condition. We prove that the solutions are continuous outside of the jump set, which is codimension one rectifiable. We show that the ... More

Numerical Relativity: A reviewJun 22 2001Jun 29 2001Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of General Relativity, numerical models have proved extremely valuable for investigations of strong field ... More

On the Quantum Homology of Real Lagrangians in Fano Toric ManifoldsAug 29 2011Oct 30 2013We study the Lagrangian quantum homology of real parts of Fano toric manifolds of minimal Chern number at least 2, using coefficients in a ring of Laurent polynomials over Z/2Z. We show that these Lagrangians are wide, in the sense that their quantum ... More

Sphaleron relaxation temperaturesApr 28 2003Dec 15 2003The transition of sphaleron processes from non-equilibrium to thermal equilibrium in the early Universe is examined in detail. The relations between the damping rates and frequencies of the weak and QCD sphaleron degeneracy parameters are determined in ... More

Recent Development on Collective Neutrino InteractionsDec 29 1999Quantum Field Theory is applied to study an electron plasma under an intense neutrino flux. The dispersion relation of the longitudinal waves is derived and the damping rate is calculated. It is shown that in the case of Supernova emission the neutrinos ... More

Plasma wave instabilities induced by neutrinosAug 02 1999Dec 29 1999Quantum field theory is applied to study the interaction of an electron plasma with an intense neutrino flux. A connection is established between the field theory results and classical kinetic theory. The dispersion relation and damping rate of the plasma ... More

Neutrino Oscillations: a source of Goldstone fieldsOct 23 1997Nov 30 1997It is proved that true Goldstone bosons develop coherent fields whenever the associated charges of the matter particles are not conserved in a macroscopic scale. The sources of the Goldstone fields are the time rates of quantum number violation. The case ... More

Mapping class groups of non-orientable surfaces for beginnersOct 05 2014The present paper are the notes of a mini-course addressed mainly to non-experts. It purpose it to provide a first approach to the theory of mapping class groups of non-orientable surfaces.

Braid groups and Artin groupsNov 15 2007This article is a survey on the braid groups, the Artin groups, and the Garside groups. It is a presentation, accessible to non-experts, of various topological and algebraic aspects of these groups. It is also a report on three points of the theory: the ... More

Birman's conjecture for singular braids on closed surfacesJul 17 2003Let $M$ be a closed oriented surface of genus $g\ge 1$, let $B_n(M)$ be the braid group of $M$ on $n$ strings, and let $SB_n(M)$ be the corresponding singular braid monoid. Our purpose in this paper is to prove that the desingularization map $\eta: SB_n(M) ... More

A New Topological Helly Theorem and some Transversals ResultsJul 08 2014We prove that for a topological space X with the property that $H_p(U)=0$ for $p\geq d$ and every open subset $U$ of $X$, a finite family of open sets in $X$ has nonempty intersection if for any subfamily of size $j$, $1\leq j \leq d+1$, the $(d-j)$-dimensional ... More

An asymptotically optimal Bernoulli factory for certain functions that can be expressed as power seriesDec 28 2016Dec 18 2018Given a sequence of independent Bernoulli variables with unknown parameter $p$, and a function $f$ expressed as a power series with non-negative coefficients that sum to at most $1$, an algorithm is presented that produces a Bernoulli variable with parameter ... More

Langlands Base Change for GL(2)Dec 10 2009Jun 16 2011Let F be a totally real Galois number field. We prove the existence of base change relative to the extension F/Q for every classical newform of odd level, under simple local assumptions on the field F.

How to facet a gemstone: from potential modularity to the proof of Serre's modularity conjectureDec 09 2007In this survey paper we present recent results obtained by Khare, Wintenberger and the author that have led to a proof of Serre's conjecture, such as existence of compatible families, modular upper bounds for universal deformation rings and existence ... More

On the level p weight 2 case of Serre's conjectureAug 27 2005Aug 30 2005This brief note only contains a modest contribution: we just fix some inaccuracies in the proof of the prime level weight 2 case of Serre's conjecture given in Khare's preprint "On Serre's modularity conjecture for 2-dimensional mod p representations ... More

Elliptic mod \ell Galois representations which are not minimally ellipticSep 07 2004Feb 01 2005In a recent preprint, F. Calegari has shown that for $\ell = 2, 3, 5$ and 7 there exist 2-dimensional surjective representations $\rho$ of $\Gal(\bar{\Q}/\Q)$ with values in $\F_\ell$ coming from the $\ell$-torsion points of an elliptic curve defined ... More

Computing the level of a modular rigid Calabi-Yau threefoldMar 30 2004In a previous article (a joint work with J. Manoharmayum) the modularity of a large class of rigid Calabi-Yau threefolds was established. To make that result more explicit, we recall (and re-prove) a result of Serre giving a bound for the conductor of ... More

The level 1 case of Serre's conjecture revisitedMay 03 2007Feb 26 2008We prove existence of conjugate Galois representations, and we use it to derive a simple method of weight reduction. As a consequence, an alternative proof of the level 1 case of Serre's conjecture follows.

Hermitian structures on six dimensional nilmanifoldsNov 11 2004Let (J,g) be a Hermitian structure on a compact nilmanifold M with invariant complex structure J and compatible metric g, which is not required to be invariant. We give classifications of 6-dimensional nilmanifolds M admitting strong K\"ahler with torsion, ... More

Crossed product by actions of finite groups with the Rokhlin PropertyJan 27 2014We introduce and study a Rokhlin-type property for actions of finite groups on (not necessarily unital) C*-algebras. We show that the corresponding crossed product C*-algebras can be locally approximated by C*-algebras that are stably isomorphic to closed ... More

Instabilities in neutrino-plasma density wavesJan 05 2001Apr 08 2001One examines the interaction and possible resonances between supernova neutrinos and electron plasma waves. The neutrino phase space distribution and its boundary regions are analyzed in detail. It is shown that the boundary regions are too wide to produce ... More

Using Barriers to Reduce the Sensitivity to Edge Miscalculations of Casting-Based Object Projection Feature EstimationMar 01 20123D motion tracking is a critical task in many computer vision applications. Unsupervised markerless 3D motion tracking systems determine the most relevant object in the screen and then track it by continuously estimating its projection features (center ... More

Advanced Programming Platform for efficient use of Data Parallel HardwareMar 22 2012Mar 23 2012Graphics processing units (GPU) had evolved from a specialized hardware capable to render high quality graphics in games to a commodity hardware for effective processing blocks of data in a parallel schema. This evolution is particularly interesting for ... More

Commensurators of parabolic subgroups of Coxeter groupsJan 11 1996Let $(W,S)$ be a Coxeter system, and let $X$ be a subset of $S$. The subgroup of $W$ generated by $X$ is denoted by $W_X$ and is called a parabolic subgroup. We give the precise definition of the commensurator of a subgroup in a group. In particular, ... More

Gauge Mediation with Gauge Messengers in SU(5)Jul 21 2010Nov 18 2010The inclusion of gauge messengers in models of gauge mediation allows for more general predictions that those described by the framework of general gauge mediation. Motivated by this, we explore some models of gauge mediation with gauge messengers in ... More

Temperature dependence of plastic scintillatorsSep 19 2017Nov 03 2017Plastic scintillator detectors have been studied as dosimeters, since they provide a cost-effective alternative to conventional ionization chambers. On the other hand, several articles have reported undesired response dependencies on beam energy and temperature, ... More

Residual $p$ properties of mapping class groups and surface groupsMar 23 2007Let $\mathcal M (\Sigma, \mathcal P)$ be the mapping class group of a punctured oriented surface $(\Sigma, \mathcal P)$ (where $\mathcal P$ may be empty), and let $\mathcal T_p(\Sigma,\mathcal P)$ be the kernel of the action of $\mathcal M (\Sigma, \mathcal ... More

Small index subgroups of the mapping class groupDec 13 2007We prove that the mapping class group of a closed oriented surface of genus $\rho \ge 3$ has no proper subgroup of index $\le 4 \rho +4$.

Euclidean Jordan Algebras and Generalized Krein parameters of a strongly regular graphSep 23 2007Mar 26 2008Let $\tau$ be a strongly $(n,p;a,c)$ regular graph,such that $0<c<p<n-1,$ $A$ his matrix of adjacency and let ${\cal V}_{n}$ be the Euclidean space spanned by the powers of $A$ over the reals where the scallar product $\bullet|\bullet$ is defined by $x|y={trace}(x ... More

Coherence for vectorial waves and majorizationMar 04 2016We show that majorization provides a powerful approach to the coherence conveyed by partially polarized transversal electromagnetic waves. Here we present the formalism, provide some examples and compare with standard measures of polarization and coherence ... More

Rainbow simplices in triangulations of manifoldsSep 29 2018Given a coloration of the vertices of a triangulation of a manifold, we give homological conditions on the chromatic complexes under which it is possible to obtain a rainbow simplex

Geodesic farthest-point Voronoi diagram in linear timeSep 05 2018Sep 07 2018Let $P$ be a simple polygon with $n$ vertices. For any two points in $P$, the geodesic distance between them is the length of the shortest path that connects them among all paths contained in $P$. Given a set $S$ of $m$ sites being a subset of the vertices ... More

Predicting Yelp Star Reviews Based on Network Structure with Deep LearningDec 11 2017In this paper, we tackle the real-world problem of predicting Yelp star-review rating based on business features (such as images, descriptions), user features (average previous ratings), and, of particular interest, network properties (which businesses ... More

Performance of the SoLid Reactor Neutrino DetectorNov 14 2018The SoLid collaboration is currently operating a 1.6 tons neutrino detector near the Belgian BR2 reactor, with main goal the observation of the oscillation of electron antineutrinos to previously undetected flavor states. The highly segmented SoLid detector ... More

Reduction of the dimension of nuclear C*-algebrasNov 30 2012We show that for a large class of C*-algebras $\mathcal{A}$, containing arbitrary direct limits of separable type I C*-algebras, the following statement holds: If $A\in \mathcal{A}$ and $B$ is a simple projectionless C*-algebra with trivial K-groups that ... More

A classification of inductive limits of splitting interval algebrasNov 30 2010It is shown that the Cuntz semigroup is a complete invariant for the C*-algebras that can be realized as an inductive limit of a sequence of finite direct sums of splitting interval algebras.

Holder estimates for advection fractional-diffusion equationsSep 29 2010Apr 22 2011We analyse conditions for an evolution equation with a drift and fractional diffusion to have a Holder continuous solution. In case the diffusion is of order one or more, we obtain Holder estimates for the solution for any bounded drift. In the case when ... More

Hyperbolicity and recurrence in dynamical systems: a survey of recent resultsOct 17 2002We discuss selected topics of current research interest in the theory of dynamical systems, with emphasis on dimension theory, multifractal analysis, and quantitative recurrence. The topics include the quantitative versus the qualitative behavior of Poincar\'e ... More

Numerical Relativity: Status and ProspectsFeb 15 2002Feb 19 2002We are entering an era where the numerical construction of generic spacetimes is becoming a reality. The use of computer simulations, in principle, allows us to solve Einstein equations in their full generality and unravel important messages so far hidden ... More

Matching characteristic codes: exploiting two directionsNov 09 1999Combining incoming and outgoing characteristic formulations can provide numerical relativists with a natural implementation of Einstein's equations that better exploits the causal properties of the spacetime and gives access to both null infinity and ... More

A dissipative algorithm for wave-like equations in the characteristic formulationNov 30 1998We present a dissipative algorithm for solving nonlinear wave-like equations when the initial data is specified on characteristic surfaces. The dissipative properties built in this algorithm make it particularly useful when studying the highly nonlinear ... More

Insulator-to-metal crossover induced by local spin fluctuations in strongly correlated systemsNov 24 2000We study the simplified Hubbard (SH) model in the presence of a transverse field in the infinite dimension limit. The relevant one-particle Green's functions of the model are obtained by means a perturbative treatment of the hopping and of the transverse ... More

Divergence Measure Between Chaotic AttractorsNov 14 2000We propose a measure of divergence of probability distributions for quantifying the dissimilarity of two chaotic attractors. This measure is defined in terms of a generalized entropy. We illustrate our procedure by considering the effect of additive noise ... More

A Bayesian Statistical Approach for Inference on Static Origin-Destination MatricesDec 05 2010Nov 30 2011We address the problem of static OD matrix estimation from a formal statistical viewpoint. We adopt a novel Bayesian framework to develop a class of models that explicitly cast trip configurations in the study region as random variables. As a consequence, ... More

To Teach Modal Logic: An Opinionated SurveyJul 16 2015I aim to promote an alternative agenda for teaching modal logic chiefly inspired by the relationships between modal logic and philosophy. The guiding idea for this proposal is a reappraisal of the interest of modal logic in philosophy, which do not stem ... More

Lagrangian antisurgeryNov 16 2015We describe an operation which, under certain conditions, modifies a Lagrangian submanifold $L$ such as to produce a new immersed Lagrangian submanifold $L'$, which as a smooth manifold is obtained by surgery along a framed sphere in $L$. Intuitively, ... More

Spin Orbit Coupling in Graphene Induced by Heavy Adatoms with Electrons in the Outer-Shell $p$ OrbitalsSep 14 2015Many of the exotic properties proposed to occur in graphene rely on the possibility of increasing the spin orbit coupling (SOC). By combining analytical and numerical tight binding calculations, in this work we study the SOC induced by heavy adatoms with ... More

$K(π,1)$ conjecture for Artin groupsNov 30 2012The purpose of this paper is to put together a large amount of results on the $K(\pi,1)$ conjecture for Artin groups, and to make them accessible to non-experts. Firstly, this is a survey, containing basic definitions, the main results, examples and an ... More

Magnetic Skyrmionic PolaronsOct 05 2017We study a two-dimensional electron gas exchanged-coupled to a system of classical magnetic ions. For large Rashba spin-orbit coupling a single electron can become self-trapped in a skyrmion spin texture self-induced in the magnetic ions system. This ... More

The proof of Birman's conjecture on singular braid monoidsJun 30 2003Sep 29 2004Let B_n be the Artin braid group on n strings with standard generators sigma_1, ..., sigma_{n-1}, and let SB_n be the singular braid monoid with generators sigma_1^{+-1}, ..., sigma_{n-1}^{+-1}, tau_1, ..., tau_{n-1}. The desingularization map is the ... More

Irreducible Coxeter groupsDec 10 2004Jul 05 2005We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that a non-spherical and non-affine Coxeter group is strongly indecomposable in the sense that all its finite index subgroups are (directly) indecomposable. We prove ... More

A variation on the homological nerve theoremSep 12 2016An equivalent but useful version on the Homological Nerve Theorem is proved.

Asymptotically optimum estimation of a probability in inverse binomial sampling under general loss functionsJan 18 2010Apr 30 2012The optimum quality that can be asymptotically achieved in the estimation of a probability p using inverse binomial sampling is addressed. A general definition of quality is used in terms of the risk associated with a loss function that satisfies certain ... More

Nonclassical states from the joint statistics of simultaneous measurementsJun 25 2015Nonclassicality cannot be a single-observable property since the statistics of any quantum observable is compatible with classical physics. We develop a general procedure to reveal nonclassical behavior from the joint measurement of multiple observables. ... More

On the global dynamics of periodic triangular mapsMay 31 2016This paper is an extension of an earlier paper that dealt with global dynamics in autonomous triangular maps. In the current paper, we extend the results on global dynamics of autonomous triangular maps to periodic non-autonomous triangular maps. We show ... More

From potential modularity to modularity for integral Galois representations and rigid Calabi-Yau threefoldsSep 07 2004We prove modularity for any irreducible crystalline $\ell$-adic odd 2-dimensional Galois representation (with finite ramification set) unramified at 3 verifying an "ordinarity at 3" easy to check condition, with Hodge-Tate weights $\{0, w \}$ such that ... More

Galois characterization of Endoscopy for rational Siegel modular formsOct 16 2003We establish a relation between Galois reducibility and Endoscopy for genus 2 Siegel cusp forms which have rational eigenvalues and are unramified at 3

Modular congruences, Q-curves, and the diophantine equation x^4 + y^4 = z^pApr 27 2003We prove two results concerning the generalized Fermat equation $x^4+y^4=z^p$. In particular we prove that the First Case is true if $p \neq 7$.

Nilpotent Types and Fracture Squares in Homotopy Type TheoryMar 08 2019We develop the basic theory of nilpotent types and their localizations away from sets of numbers in Homotopy Type Theory. For this, general results about the classifying spaces of fibrations with fiber an Eilenberg-Mac Lane space are proven. We also construct ... More

Regularity of solutions of the fractional porous medium flow with exponent 1/2Sep 29 2014We study the regularity of a porous medium equation with nonlocal diffusion effects given by an inverse fractional Laplacian operator. The precise model is $u_t=\nabla\cdot(u\nabla (-\Delta)^{-1/2}u).$ For definiteness, the problem is posed in $\{x\in\mathbb{R}^N, ... More

Asymptotic behaviour of a porous medium equation with fractional diffusionApr 07 2010We consider a porous medium equation with nonlocal diffusion effects given by an inverse fractional Laplacian operator. In a previous paper we have found mass-preserving, nonnegative weak solutions of the equation satisfying energy estimates. The equation ... More

The kappa-(A)dS quantum algebra in (3+1) dimensionsDec 09 2016The quantum duality principle is used to obtain explicitly the Poisson analogue of the kappa-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson-Lie structure on the dual solvable Lie group. The construction is fully performed in a ... More

Concealed Quantum InformationAug 29 2007We study the teleportation scheme performed by means of a partially entangled pure state. We found that the information belonging to the quantum channel can be distributed into both the system of the transmitter and the system of the receiver. Thus, in ... More

Interlayer Magnetic Coupling and the Quantum Hall Effect in Multilayer Electron SystemsApr 28 1998We study the effect that the electron-electron interaction has on the properties of a multilayer electron system. We consider the case corresponding to filling factor unity in each layer. We find that as a function of the sample parameters the system ... More