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Collision dynamics of two $^{238}$U atomic nucleiApr 20 2009Jun 02 2009Collisions of actinide nuclei form, during very short times of few $10^{-21}$ s, the heaviest ensembles of interacting nucleons available on Earth. Such very heavy ions collisions have been proposed as an alternative way to produce heavy and superheavy ... More

Branching rules, Kostka-Foulkes polynomials and $q$-multiplicities in tensor product for the root systems $B\_{n},C\_{n}$ and $D\_{n}$Dec 31 2004Jan 17 2005The Kostka-Foulkes polynomials $K$ related to a root system $\phi $ can be defined as alternated sums running over the Weyl group associated to $\phi .$ By restricting these sums over the elements of the symmetric group when $% \phi $ is of type $B,C$ ... More

Information flow at the quantum-classical boundaryJan 23 2009We study the nature of the information preserved by a quantum channel via the observables which exist in its image (in the Heisenberg picture), and can therefore be simulated on the receiver's side. The sharp observables preserved by a channel form an ... More

Width of the analyticity strip in space variable of viscous Burgers shockwavesMar 20 2008May 06 2008Analytic continuation of viscous shock solution for the generalized Burgers equation with polynomial nonlinear source term is investigated. We show that a pertubated wave recovers its analyticity in the space variable in the strip limited by the first ... More

Cells and cactiJun 25 2015Oct 16 2015Let $(W,S)$ be a Coxeter system, let $\varphi$ be a weight function on $S$ and let ${\mathrm{Cact}}\_W$ denote the associated {\it cactus group}. Following an idea of I. Losev, we construct an action of ${\mathrm{Cact}}\_W \times {\mathrm{Cact}}\_W$ on ... More

Semicontinuity properties of Kazhdan-Lusztig cellsAug 26 2008May 31 2010Computations in small Coxeter groups or dihedral groups suggest that the partition into Kazhdan-Lusztig cells with unequal parameters should obey to some semicontinuity phenomenon (as the parameters vary). The aim of this paper is to provide a rigorous ... More

On Brane World Cosmological PerturbationsMay 09 2002We discuss the scalar cosmological perturbations in a 3-brane world with a 5D bulk. We first show explicitly how the effective perturbed Einstein's equations on the brane (involving the Weyl fluid) are encoded into Mukohyama's master equation. We give ... More

From light to hyper-heavy molecules and neutron-star crusts in a dynamical mean-field approachNov 11 2012The richness of phenomena occurring in heavy-ion collisions calls for microscopic approaches where the motion of each nucleon is treated quantum mechanically. The most popular microscopic approach for low-energy collisions between atomic nuclei is the ... More

Unsharp pointer observables and the structure of decoherenceFeb 05 2008The theory of decoherence attempts to explain the emergent classical behaviour of a quantum system interacting with its quantum environment. In order to formalize this mechanism we introduce the idea that the information preserved in an open quantum evolution ... More

$\rm NIP$, and ${\rm NTP}_2$ division rings of prime characteristicMar 01 2019Combining a characterisation by B\'elair, Kaplan, Scanlon and Wagner of certain $\rm NIP$ valued fields of characteristic $p$ with Dickson's construction of cyclic algebras, we provide examples of noncommutative $\rm NIP$ division ring of characteristic ... More

On Kazhdan-Lusztig cells in type BJun 02 2008Jan 14 2009We prove that, for any choice of parameters, the Kazhdan-Lusztig cells of a Weyl group of type $B$ are unions of combinatorial cells (defined using the domino insertion algorithm).

Two-sided cells in type $B$ (asymptotic case)Feb 04 2005Jun 30 2006We compute two-sided cells of Weyl groups of type $B$ for the "asymptotic" choice of parameters. We also obtain some partial results concerning Kazhdan-Lusztig conjectures in this particular case.

Semi-continuité des cellules de Kazhdan-LusztigMay 20 2008Computations in small Coxeter groups and infinite dihedral groups suggest that Kazhdan-Lusztig cells for unequal parameters obey to some "semicontinuity" phenomenon (as the parameter vary). The aim of this paper is to provide a rigorous theoretical background ... More

Topologie sur l'ensemble des parties positives d'un réseauAug 26 2008We define a notion of {\it positive part} of a lattice $\Lambda$ and we endow the set of such positive parts with a topology. We then study some properties of this topology, by comparing it with the one of $V^*/\RM_{> 0}$, where $V^*$ is the dual vector ... More

Learning relevant features for statistical inferenceApr 23 2019May 06 2019We introduce an algorithm that learns correlations between two datasets, in a way which can be used to infer one type of data given the other. The approach allows for the computation of expectation values over the inferred conditional distributions, such ... More

Deep learning and the renormalization groupJan 14 2013Mar 13 2013Renormalization group (RG) methods, which model the way in which the effective behavior of a system depends on the scale at which it is observed, are key to modern condensed-matter theory and particle physics. We compare the ideas behind the RG on the ... More

Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion CollisionsSep 15 2012Nov 08 2012A summary of recent researches on nuclear dynamics with realistic microscopic quantum approaches is presented. The Balian-V\'en\'eroni variational principle is used to derive the time-dependent Hartree-Fock (TDHF) equation describing the dynamics at the ... More

Unconditionality, Fourier multipliers and Schur multipliersNov 07 2011Apr 02 2012Let $G$ be an infinite locally compact abelian group. If $X$ is Banach space, we show that if every bounded Fourier multiplier $T$ on $L^2(G)$ has the property that $T\ot Id_X$ is bounded on $L^2(G,X)$ then the Banach space $X$ is isomorphic to a Hilbert ... More

Coarse-grained distinguishability of field interactionsSep 10 2015Jun 06 2016Information-theoretical quantities such as statistical distinguishability typically result from optimisations over all conceivable observables. Physical theories, however, are not generally considered valid for all mathematically allowed measurements. ... More

Gauge symmetry and background independence: Should the proton spin decomposition be path independent?Jun 03 2013Dec 31 2013Exploring the similarities between the Chen \emph{et al.} approach, where physical and gauge degrees of freedom of the gauge potential are explicitly separated, and the background field method, we provide an alternative point of view to the proton spin ... More

The light-front energy-momentum tensorOct 02 2015We present the first complete parametrization for the matrix elements of the generic light-front gauge-invariant energy-momentum tensor, derive the expressions giving separately the spin and orbital angular momentum of quarks and gluons as probed in high-energy ... More

Spin structure of the nucleon on the light frontSep 22 2014We briefly review the spin structure of the nucleon and show that it is best thought in the light-front formulation. We discuss in particular the longitudinal and transverse spin sum rules, the proper definition of canonical orbital angular momentum and ... More

Quark spin-orbit correlationsSep 16 2014The proton spin puzzle issue focused the attention on the parton spin and orbital angular momentum contributions to the proton spin. However, a complete characterization of the proton spin structure requires also the knowledge of the parton spin-orbit ... More

The light-front gauge-invariant energy-momentum tensorFeb 24 2015We provide for the first time a complete parametrization for the matrix elements of the generic asymmetric, non-local and gauge-invariant canonical energy-momentum tensor, generalizing therefore former works on the symmetric, local and gauge-invariant ... More

The bead model and limit behaviors of dimer modelsJul 06 2006Feb 23 2011In this paper, we study the bead model: beads are threaded on a set of wires on the plane represented by parallel straight lines. We add the constraint that between two consecutive beads on a wire; there must be exactly one bead on each neighboring wire. ... More

Plünnecke and Kneser type theorems for dimension estimatesSep 01 2011Aug 26 2013Given a division ring K containing the field k in its center and A,B two finite subsets of K\{0}, we give some analogues of Pl\"unnecke and Kneser theorems for the dimension of the k-linear span of the Minkowski product AB in terms of the dimensions of ... More

Quasi-isolated elements in reductive groupsFeb 17 2004A semisimple element $s$ of a connected reductive group $G$ is said {\it quasi-isolated} (respectively {\it isolated}) if $C_G(s)$ (respectively $C_G^0(s)$) is not contained in a Levi subgroup of a proper parabolic subgroup of $G$. We study properties ... More

Automorphisms of Coxeter groups and Lusztig's conjectures for Hecke algebras with unequal parametersMay 28 2008Aug 31 2009Let $(W,S)$ be a Coxeter system, let $G$ be a finite solvable group of automorphisms of $(W,S)$ and let $\varphi$ be a weight function which is invariant under $G$. Let $\varphi_G$ denote the weight function on $W^G$ obtained by restriction from $\varphi$. ... More

Dilations of markovian semigroups of Fourier multipliers on locally compact groupsNov 13 2018Mar 19 2019We prove that any weak* continuous semigroup $(T_t)_{t \geq 0}$ of Markov Fourier multipliers acting on a group von Neumann algebra $\mathrm{VN}(G)$ associated to a second countable locally compact group $G$ can be dilated by a weak* continuous group ... More

The resistance of an FPGA implementation of Grasshopper block cipher to CPA attacksApr 10 2019In this paper, we implement the Russian standard block cipher Grasshopper on Field-Programmable Gate Array (FPGA). We also study the Correlation Power Analysis attack, which is a special type of side-channel attack proposed by Brier et al. To face this ... More

Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noiseAug 20 2013Oct 05 2013We review some recent results on the anomalous diffusion of energy in systems of 1D coupled oscillators and we revisit the role of momentum conservation.

On properties of (weakly) small groupsApr 02 2011A group is small if it has countably many complete $n$-types over the empty set for each natural number n. More generally, a group $G$ is weakly small if it has countably many complete 1-types over every finite subset of G. We show here that in a weakly ... More

Inferring effective field observables from a discrete modelNov 16 2015Nov 05 2016A spin system on a lattice can usually be modelled at large scales by an effective quantum field theory. A key mathematical result relating the two descriptions is the quantum central limit theorem, which shows that certain spin observables satisfy an ... More

Vogan classes and cells in the unequal parameter caseMay 26 2014Jul 11 2014Kazhdan and Lusztig proved that Vogan classes are unions of cells in the equal parameter case. We extend this result in the unequal parameter case.

Blocks of the Grothendieck ring of equivariant bundles on a finite groupMay 22 2014Sep 11 2015If $G$ is a finite group, the Grothendieck group ${\mathbf{K}}\_G(G)$ of the category of $G$-equivariant ${\mathbb{C}}$-vector bundles on $G$ (for the action of $G$ on itself by conjugation) is endowed with a structure of (commutative) ring. If $K$ is ... More

A note on the wellposedness of scalar brane world cosmological perturbationsSep 29 2004Dec 22 2004We discuss scalar brane world cosmological perturbations for a 3-brane world in a maximally symmetric 5D bulk. We show that Mukoyama's master equations leads, for adiabatic perturbations of a perfect fluid on the brane and for scalar field matter on the ... More

Analytic semigroups on vector valued noncommutative $L^p$-spacesNov 14 2012Feb 13 2015We give sufficient conditions on an operator space $E$ and on a semigroup of operators on a von Neumann algebra $M$ to obtain a bounded analytic or a $R$-analytic semigroup $(T_t \otimes Id_E)_{t \geq 0}$ on the vector valued noncommutative $L^p$-space ... More

Fields and rings with few typesApr 02 2011Let R be an associative ring with possible extra structure. R is said to be weakly small if there are countably many 1-types over any finite subset of R. It is locally P if the algebraic closure of any finite subset of R has property P. It is shown here ... More

Perturbative quantum error correctionFeb 18 2011Jul 04 2011We derive simple necessary and sufficient conditions under which a quantum channel obtained from an arbitrary perturbation from the identity can be reversed on a given code to the lowest order in fidelity. We find the usual Knill-Laflamme conditions applied ... More

Particle number fluctuations and correlations in transfer reactions obtained using the Balian-Vénéroni variational principleNov 10 2010Feb 21 2011The Balian-V\'en\'eroni (BV) variational principle, which optimizes the evolution of the state according to the relevant observable in a given variational space, is used at the mean-field level to determine the particle number fluctuations in fragments ... More

The nucleon spin decomposition: news and experimental implicationsJan 16 2014Recently, many nucleon spin decompositions have been proposed in the literature, creating a lot of confusion. This revived in particular old controversies regarding the measurability of theoretically defined quantities. We propose a brief overview of ... More

The gauge-invariant canonical energy-momentum tensorJan 08 2016The canonical energy-momentum tensor is often considered as a purely academic object because of its gauge dependence. However, it has recently been realized that canonical quantities can in fact be defined in a gauge-invariant way provided that strict ... More

Canonical and kinetic decompositions of the proton spinFeb 01 2013We propose a short summary of the present situation concerning the proton spin decomposition. We briefly discuss some of the main controversies about the issues of gauge invariance, uniqueness and measurability. As a conclusion, we argue that part of ... More

Exotic and Non-Exotic Baryon Properties on the Light ConeOct 08 2010We present an extensive study of the static properties of light exotic and non-exotic baryons, based on the formulation of chiral quark-soliton model in terms of light-cone wave functions. We discuss in particular vector, axial and tensor charges as well ... More

Electromagnetic Properties for Arbitrary Spin Particles: Part 2 $-$ Natural Moments and Transverse Charge DensitiesJan 27 2009In a set of two papers, we propose to study an old-standing problem, namely the electromagnetic interaction for particles of arbitrary spin. Based on the assumption that light-cone helicity at tree level and $Q^2=0$ should be conserved non-trivially by ... More

Application of Polynomial Optimization to Electricity Transmission NetworksAug 12 2016Transmission system operators need to adapt their decision-making tools to the technological evolutions of the twenty first century. A computation inherent to most tools seeks to find alternating-current power flows that minimize power loss or generation ... More

Representation theory of Mantaci-Reutenauer algebrasMay 23 2006Jul 12 2006We study some aspects of the representation theory of Mantaci-Reutenauer algebras: Cartan matrix, Loewy length, modular representations.

Non-asymptotically flat black holes/branesSep 09 2004In the framework of string-inspired dilatonic gravity theories (from 4 to $D$ space-time dimensions), we construct new non-asymptotically flat black hole or black brane solutions. For particular values of the dilatonic coupling constant, we generalize ... More

Constructible characters and b-invariantsFeb 12 2013May 28 2015To each finite Coxeter system (W,S) and to each weight function L, Lusztig has defined the notions of constructible characters and of Lusztig families of W, using the so-called J-induction. Whenever L is constant, and using a general argument, Lusztig ... More

Enhanced Higgs-Mediated Lepton-Flavour-Violating Processes in the Supersymmetric Inverse Seesaw ModelMay 29 2012We study the impact of the inverse seesaw mechanism on several leptonic and hadronic low-energy flavour-violating observables in the context of the Minimal Supersymmetric Standard Model. Indeed, the contributions of the light right-handed sneutrinos from ... More

Causal structure of the entanglement renormalization ansatzOct 21 2011Mar 03 2013We show that the multiscale entanglement renormalization ansatz (MERA) can be reformulated in terms of a causality constraint on discrete quantum dynamics. This causal structure is that of de Sitter space with a flat spacelike boundary, where the volume ... More

Small skew fieldsApr 02 2011Wedderburn showed in 1905 that finite fields are commutative. As for infinite fields, we know that superstable (Cherlin, Shelah) and supersimple (Pillay, Scanlon, Wagner) ones are commutative. In their proof, Cherlin and Shelah use the fact that a superstable ... More

A remark on Cantor derivativeApr 02 2011It is shown that, modulo an equivalence relation induced by finite correspondences preserving Cantor rank, the class of topological spaces is an integral semi-ring on which the Cantor derivative is precisely a derivation.

A progenerator for representations of SL(n,q) in transverse characteristicMar 21 2011Let G=GL(n,q), SL(n,q) or PGL(n,q) where q is a power of some prime number p, let U denote a Sylow p-subgroup of G and let R be a commutative ring in which p is invertible. Let D(U) denote the derived subgroup of U and let e be the central primitive idempotent ... More

On Matsaev's conjecture for contractions on noncommutative $L^p$-spacesSep 07 2010Nov 12 2012We exhibit large classes of contractions on noncommutative $L^p$-spaces which satisfy the noncommutative analogue of Matsaev's conjecture, introduced by Peller, in 1985. In particular, we prove that every Schur multiplier on a Schatten space $S^p$ induced ... More

Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection techniqueAug 18 2010Nov 08 2010A particle-number projection technique is used to calculate transfer probabilities in the $^{16}$O+$^{208}$Pb reaction below the fusion barrier. The time evolution of the many-body wave function is obtained with the time-dependent Hartree-Fock (TDHF) ... More

On a conjecture of Pisier on the analyticity of semigroupsMar 26 2014Feb 12 2015We show that the analyticity of semigroups $(T_t)_{t \geq 0}$ of selfadjoint contractive Fourier multipliers on $L^p$-spaces of compact abelian groups is preserved by the tensorisation of the identity operator of a Banach space for a large class of K-convex ... More

Dilations of semigroups on von Neumann algebras and noncommutative $L^p$-spacesMar 15 2016Jun 13 2016We prove that any $w^*$-continuous semigroup of factorizable Markov maps acting on a von Neumann algebra $M$ equipped with a state can be dilated by a group of Markov $*$-automorphisms in a manner analogous to the discrete case of one factorizable Markov ... More

Tensor charges of light baryons in the Infinite Momentum FrameAug 30 2007We have used the Chiral-Quark Soliton Model formulated in the Infinite Momentum Frame to investigate the octet, decuplet and antidecuplet tensor charges up to the 5Q level. Using flavor SU(3) symmetry we have obtained for the proton $\delta u=1.172$ and ... More

Orbital angular momentum in the nucleonsJun 26 2014In the last decade, it has been realized that the orbital angular momentum of partons inside the nucleon plays a major role. It contributes significantly to nucleon properties and is at the origin of many asymmetries observed in spin physics. It is therefore ... More

Spin-orbit correlations in the nucleonJan 30 2014Jun 24 2014We investigate the correlations between the quark spin and orbital angular momentum inside the nucleon. Similarly to the Ji relation, we show that these correlations can be expressed in terms of specific moments of measurable parton distributions. This ... More

Gauge-covariant canonical formalism revisited with application to the proton spin decompositionFeb 22 2013Aug 15 2013We revisit the gauge-covariant canonical formalism by separating explicitly physical and gauge degrees of freedom. We show in particular that the gauge-invariant linear and angular momentum operators proposed by Chen et al. can consistently be derived ... More

Wilson lines and orbital angular momentumOct 09 2012Jan 07 2013We present an explicit realization of the Chen et al. approach to the proton spin decomposition in terms of Wilson lines, generalizing the light-front gauge-invariant extensions discussed recently by Hatta. Particular attention is drawn to the residual ... More

Exploring the proton spin structureApr 20 2015Understanding the spin structure of the proton is one of the main challenges in hadronic physics. While the concepts of spin and orbital angular momentum are pretty clear in the context of non-relativistic quantum mechanics, the generalization of these ... More

Relevant feature extraction for statistical inferenceApr 23 2019We introduce an algorithm that learns correlations between two datasets, in a way which can be used to infer one type of data given the other. The approach allows for the computation of expectation values over the inferred conditional distributions, such ... More

Noncommutative Figa-Talamanca-Herz algebras for Schur multipliersNov 23 2009Sep 23 2011We introduce a noncommutative analogue of the Fig\'a-Talamanca-Herz algebra $A_p(G)$ on the natural predual of the operator space $\frak{M}_{p,cb}$ of completely bounded Schur multipliers on Schatten space $S_p$. We determine the isometric Schur multipliers ... More

Néron's pairing and relative algebraic equivalenceMar 02 2011Let R be a complete discrete valuation ring with algebraically closed residue field k and fraction field K. Let X_K be a projective smooth and geometrically connected scheme over K. N\'eron defined a canonical pairing on X_K between 0-cycles of degree ... More

Semi-factorial models and Néron modelsMar 02 2011Let S be the spectrum of a discrete valuation ring with function field K. Let X be a scheme over S. We will say that X is semi-factorial over S if each invertible sheaf on the generic fiber X_K can be extended to an invertible sheaf on X. Here we show ... More

Effects of fermionic singlet neutrinos on high- and low-energy observablesNov 22 2013In this doctoral thesis, we study both low- and high-energy observables related to massive neutrinos. Neutrino oscillations have provided indisputable evidence in favour of non-zero neutrino masses and mixings. However, the original formulation of the ... More

Conditions for the approximate correction of algebrasJul 24 2009We study the approximate correctability of general algebras of observables, which represent hybrid quantum-classical information. This includes approximate quantum error correcting codes and subsystems codes. We show that the main result of arXiv:quant-ph/0605009 ... More

Dualité sur un corps local de caractéristique positive à corps résiduel algébriquement closNov 04 2014Let K be a complete discretely valued field with residue field k of characteristic p>0. There is a duality theory for cohomology with coefficients in commutative finite K-group schemes in the following cases : char(K)=0 and k finite (Tate), char(K)=p ... More

Square functions for Ritt operators on noncommutative $L^p$-spacesJul 18 2011Feb 18 2012For any Ritt operator $T$ acting on a noncommutative $L^p$-space, we define the notion of \textit{completely} bounded functional calculus $H^\infty(B_\gamma)$ where $B_\gamma$ is a Stolz domain. Moreover, we introduce the `column square functions' $\norm{x}_{T,c,\alpha}=\Bnorm{\Big(\sum_{k=1}^{+\infty}k^{2\alpha-1}|T^{k-1}(I-T)^{\alpha}(x)|^2\Big)^{1/2}}_{L^p(M)}$ ... More

Geometrical approach to the proton spin decompositionMay 29 2012Jan 29 2013We discuss in detail and from the geometrical point of view the issues of gauge invariance and Lorentz covariance raised by the approach proposed recently by Chen et al. to the proton spin decomposition. We show that the gauge invariance of this approach ... More

Electromagnetic Properties for Arbitrary Spin Particles: Part 1 $-$ Electromagnetic Current and Multipole DecompositionJan 27 2009In a set of two papers, we propose to study an old-standing problem, namely the electromagnetic interaction for particles of arbitrary spin. Based on the assumption that light-cone helicity at tree level and $Q^2=0$ should be conserved non-trivially by ... More

Improvement of the Theta+ width estimation method on the Light ConeMar 28 2006Jun 29 2006Recently, Diakonov and Petrov have suggested a formalism in the Relativistic Mean Field Approximation allowing one to derive the 3-, 5-, 7-,... quark wavefunctions for the octet, decuplet and antidecuplet. They have used this formalism and many strong ... More

Baryon vector and axial content up to the 7Q componentAug 23 2007Aug 02 2008We have used the light-cone formulation of Chiral-Quark Soliton Model to investigate the vector and axial content of octet, decuplet and the hypothetical antidecuplet in the flavor SU(3) symmetry limit. We have extended previous works by computing the ... More

A polynomial-time algorithm for planar multicuts with few source-sink pairsJun 18 2012Given an edge-weighted undirected graph and a list of k source-sink pairs of vertices, the well-known minimum multicut problem consists in selecting a minimum-weight set of edges whose removal leaves no path between every source and its corresponding ... More

Sur les caractères des groupes réductifs finis : applications aux groupes spéciaux linéaires et unitairesApr 05 2005In the first chapters, this paper contains a survey on the theory of ordinary characters of finite reductive groups with non-connected centre. The last chapters are devoted to the proof of Lusztig's conjecture on characteristic functions of character ... More

A note on the Grothendieck ring of the symmetric groupNov 02 2005Nov 30 2005Let $p$ be a prime number and let $n$ be a non-zero natural number. We compute the descending Loewy series of the algebra $R\_n/pR\_n$, where $R\_n$ denotes the ring of virtual ordinary characters of the symmetric group $S\_n$.

Coulomb explosion imaging of concurrent CH$_{2}$BrI photodissociation dynamicsOct 06 2017The dynamics following laser-induced molecular photodissociation of gas-phase CH$_{2}$BrI at 271.6 nm were investigated by time-resolved Coulomb explosion imaging using intense near-IR femtosecond laser pulses. The observed delay-dependent photofragment ... More

Time-resolved inner-shell photoelectron spectroscopy: from a bound molecule to an isolated atomJan 25 2019Due to its element- and site-specificity, inner-shell photoelectron spectroscopy is a widely used technique to probe the chemical structure of matter. Here we show that time-resolved inner-shell photoelectron spectroscopy can be employed to observe ultrafast ... More

On the irreducibility of Deligne-Lusztig varietiesJan 16 2006Apr 12 2006Let $G$ be a connected reductive algebraic group defined over an algebraic closure of a finite field and let $F : G \to G$ be an endomorphism such that $F^d$ is a Frobenius endomorphism for some $d \geq 1$. Let $P$ be a parabolic subgroup of $G$ admitting ... More

A constant of quantum motion in two dimensions in crossed magnetic and electric fieldsJun 02 2010Oct 15 2010We consider the quantum dynamics of a single particle in the plane under the influence of a constant perpendicular magnetic and a crossed electric potential field. For a class of smooth and small potentials we construct a non-trivial invariant of motion. ... More

Preliminary remarks on option pricing and dynamic hedgingJun 07 2012An elementary arbitrage principle and the existence of trends in financial time series, which is based on a theorem published in 1995 by P. Cartier and Y. Perrin, lead to a new understanding of option pricing and dynamic hedging. Intricate problems related ... More

DOA estimation in structured phase-noisy environments: technical reportSep 12 2016Sep 15 2016In this paper we focus on the problem of estimating the directions of arrival (DOA) of a set of incident plane waves. Unlike many previous works, which assume that the received observations are only affected by additive noise, we consider the setup where ... More

Conjugacy classes of involutions and Kazhdan-Lusztig cellsMay 18 2012Jun 08 2012According to an old result of Sch\"utzenberger, the involutions in a given two-sided cell of the symmetric group $\SG_n$ are all conjugate. In this paper, we study possible generalisations of this property to other types of Coxeter groups. We show that ... More

Approximate simulation of quantum channelsMar 03 2011Aug 25 2011In Ref. [1], we proved a duality between two optimizations problems. The primary one is, given two quantum channels M and N, to find a quantum channel R such that RN is optimally close to M as measured by the worst-case entanglement fidelity. The dual ... More

Micromachined piezoelectric membranes with high nominal quality factors in newtonian liquid media: A Lamb's model validation at the microscaleJun 19 2009Although extensively presented as one of the most promising silicon-based micromachined sensor adapted to real-time measurements in liquid media, the cantilevered structure still suffers from its quality factor (Q) dramatic dependence on the liquid viscosity ... More

Couplings between dipole and quadrupole vibrations in tin isotopesSep 11 2009Dec 11 2009We study the couplings between collective vibrations such as the isovector giant dipole and isoscalar giant quadrupole resonances in tin isotopes in the framework of the time-dependent Hartree-Fock theory with a Skyrme energy density functional. These ... More

General conditions for approximate quantum error correction and near-optimal recovery channelsJul 30 2009Mar 24 2010We derive necessary and sufficient conditions for the approximate correctability of a quantum code, generalizing the Knill-Laflamme conditions for exact error correction. Our measure of success of the recovery operation is the worst-case entanglement ... More

Nonlinear hyperspectral unmixing with robust nonnegative matrix factorizationJan 22 2014Mar 06 2014This paper introduces a robust mixing model to describe hyperspectral data resulting from the mixture of several pure spectral signatures. This new model not only generalizes the commonly used linear mixing model, but also allows for possible nonlinear ... More

Minimum domain size and stability in carbon nanotube-ferroelectric devicesOct 08 2012Ferroelectric domain switching in c-axis-oriented epitaxial Pb(Zr0.2Ti0.8)O3 thin films was studied using different field geometries and compared to numerical simulations and theoretical predictions. With carbon nanotubes as electrodes, continuous nanodomains ... More

Emergence of stochastic dynamics in plane Couette flowApr 15 2016Spatially localized states play an important role in transition to turbulence in shear flows (Kawahara, Uhlmann & van Veen, Annu. Rev. Fluid Mech. 44, 203 (2012)). Despite the fact that some of them are attractors on the separatrix between laminar and ... More

Towards A Theory-Of-Mind-Inspired Generic Decision-Making FrameworkMay 20 2014Simulation is widely used to make model-based predictions, but few approaches have attempted this technique in dynamic physical environments of medium to high complexity or in general contexts. After an introduction to the cognitive science concepts from ... More

Automatable Evaluation Method Oriented toward Behaviour Believability for Video GamesSep 02 2010Classic evaluation methods of believable agents are time-consuming because they involve many human to judge agents. They are well suited to validate work on new believable behaviours models. However, during the implementation, numerous experiments can ... More

Estimation with Low-Rank Time-Frequency Synthesis ModelsApr 25 2018Jun 29 2018Many state-of-the-art signal decomposition techniques rely on a low-rank factorization of a time-frequency (t-f) transform. In particular, nonnegative matrix factorization (NMF) of the spectrogram has been considered in many audio applications. This is ... More

A Dark Sector for $g_μ-2$, $R_K$ and a Diphoton ResonanceMar 10 2016We revisit a set of dark sector models, motivated by anomalies observed in $B$ decays and the muon anomalous magnetic moment, in the light of a recently reported diphoton excess around 750$\,$GeV. Interpreting the excess as a scalar resonance associated ... More

On the Mullineux involution for Ariki-Koike algebrasApr 03 2008Sep 15 2008This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient algorithm for computing this generalized Mullineux ... More

Cellular structures on Hecke algebras of type BDec 21 2007May 14 2008The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's cellular structures (coming from Kazhdan-Lusztig theory ... More

The equivalence between many-to-one polygraphs and opetopic setsJun 22 2018Jul 29 2018From the polynomial approach to the definition of opetopes of Kock et al., we derive a category of opetopes, and show that its set-valued presheaves, or opetopic sets, are equivalent to many-to-one polygraphs. As an immediate corollary, we establish that ... More