Christophe Vignat

Publications :

• Article dans une revue - 86 documents
• • Karl Dilcher, Christophe Vignat. On a result of Koecher concerning Markov–Apéry-type formulas for the Riemann zeta function, 2023-09-05. (https://centralesupelec.hal.science/hal-04407695v1)
  • Zachary Bradshaw, Christophe Vignat. An operational calculus generalization of Ramanujan's master theorem, 2023-07. (https://centralesupelec.hal.science/hal-04407697v1)
  • Zachary Bradshaw, Ivan Gonzalez, Lin Jiu, Victor Hugo Moll, Christophe Vignat. Compatibility of the method of brackets with classical integration rules, 2023-05-09. (https://hal.science/hal-04416656v1)
  • Parth Chavan, Sarth Chavan, Christophe Vignat, Tanay Wakhare. Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values, 2022-12. (https://hal.science/hal-03846972v1)
  • Tanay Wakhare, Christophe Vignat. Structural properties of multiple zeta values, 2021-09. (https://hal.science/hal-03341732v1)
  • Tewodros Amdeberhan, Victor Moll, Armin Straub, Christophe Vignat. A triple integral analog of a multiple zeta value, 2021-03. (https://hal.science/hal-03182877v1)
  • Tanay Wakhare, Christophe Vignat. Taylor coefficients of the Jacobi θ3(q) function, 2020-11. (https://hal.science/hal-02910201v1)
  • Lin Jiu, Christophe Vignat, Tanay Wakhare. Analytic continuation for multiple zeta values using symbolic representations, 2020-04. (https://hal.science/hal-02518758v1)
  • Tanay Wakhare, Christophe Vignat. Multiple zeta values for classical special functions, 2020-04. (https://hal.science/hal-02508678v1)
  • Jordan Stoyanov, Christophe Vignat. Nonconventional limits of random sequences related to partitions of integers, 2020-04-01. (https://hal.science/hal-02500435v1)
  • Victor H. Moll, Christophe Vignat. Integrals involving Bernoulli and Euler polynomials, 2020. (https://hal.science/hal-02927362v1)
  • Christophe Vignat, Tanay Wakhare. Finite generating functions for the sum-of-digits sequence, 2019-12. (https://hal.science/hal-02364029v1)
  • Karl Dilcher, Armin Straub, Christophe Vignat. Identities for Bernoulli polynomials related to multiple Tornheim zeta functions, 2019-08. (https://hal.science/hal-02146468v1)
  • Christophe Vignat, T. Wakhare. Settling some sum suppositions, 2019-04. (https://centralesupelec.hal.science/hal-02090540v1)
  • Quang-Nhat Le, Sinai Robins, Christophe Vignat, Tanay Wakhare. A Continuous Analogue of Lattice Path Enumeration, 2019. (https://hal.science/hal-02303434v1)
  • Tanay Wakhare, Christophe Vignat. A continuous analogue of lattice path enumeration: Part II, 2019. (https://centralesupelec.hal.science/hal-02134901v1)
  • Christophe Vignat. About some identities for Bessel polynomials, 2019. (https://hal.science/hal-02270201v1)
  • K. Dilcher, Christophe Vignat. Infinite products involving Dirichlet characters and cyclotomic polynomials, 2018-09. (https://hal.science/hal-01844864v1)
  • Lin Jiu, Victor H. Moll, Christophe Vignat. A symbolic approach to multiple zeta values at negative integers, 2018. (https://hal.science/hal-01567266v1)
  • Christophe Vignat, Tanay Wakhare. Woon’s tree and sums over compositions, 2018. (https://hal.science/hal-01844867v1)
  • Karl Dilcher, Christophe Vignat. An explicit form of the polynomial part of a restricted partition function, 2017. (https://centralesupelec.hal.science/hal-01448646v1)
  • A. Kabza, Atul Dixit, Victor H. Moll, Christophe Vignat. Modified Nörlund Polynomials, 2017. (https://centralesupelec.hal.science/hal-01429256v1)
  • Karl Ditcher, Christophe Vignat. General convolutions identities for Bernoulli and Euler polynomials, 2016-03. (https://hal.science/hal-01248271v1)
  • Karl Dilcher, Christophe Vignat. Euler and the strong law of small numbers, 2016. (https://hal.science/hal-01326690v1)
  • Tewodros Amdeberhan, Xiao Guan, Lin Jiu, Victor H. Moll, Christophe Vignat. A series involving Catalan numbers. Proofs and demonstrations, 2016. (https://hal.science/hal-01348855v1)
  • Victor H. Moll, Christophe Vignat. The integrals in Gradshteyn and Ryzhik. Part 29: Chebyshev polynomials, 2016. (https://hal.science/hal-01365980v1)
  • Victor H. Moll, Tewodros Amdeberhan, Atul Dixit, Xia Guan, Lin Jiu, Alexey Kuznetsov, Christophe Vignat. The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions, 2016. (https://hal.science/hal-01365981v1)
  • Jonathan M. Borwein, Armin Straub, Christophe Vignat. Densities of short uniform random walks in higher dimensions, 2016. (https://centralesupelec.hal.science/hal-01261938v1)
  • Lin Jiu, Christophe Vignat. On Binomial Identities in Arbitrary Bases, 2016. (https://hal.science/hal-01326044v1)
  • Atul Dixit, Lawrence M. Glasser, Victor H. Moll, Christophe Vignat. Asymptotics and exact formulas for Zagier polynomials, 2016. (https://hal.science/hal-01345428v1)
  • Lin Jiu, Victor H. Moll, Christophe Vignat. A symbolic approach to some identities for Bernoulli-Barnes polynomials, 2016. (https://centralesupelec.hal.science/hal-01294173v1)
  • Valerio de Angelis, Christophe Vignat. Euler polynomials and identities for non-commutative operators, 2015-12. (https://hal.science/hal-01248828v1)
  • Christophe Vignat, Angelo R. Plastino. Variational Principle for a Schrödinger Equation with Non-Hermitian Hamiltonian and Position—Dependent Mass, 2015. (https://hal.science/hal-01130001v1)
  • Victor H. Moll, Christophe Vignat. A probabilistic approach to some binomial identities, 2015. (https://centralesupelec.hal.science/hal-01322850v1)
  • Victor H. Moll, Christophe Vignat. Generalized Bernoulli numbers and a formula of Lucas, 2015. (https://centralesupelec.hal.science/hal-01322848v1)
  • Atul Dixit, Lin Jiu, Victor H. Moll, Christophe Vignat. The finite Fourier transform of classical polynomials, 2015-01. (https://hal.science/hal-01116888v1)
  • Atul Dixit, Victor H. Moll, Christophe Vignat. The Zagier modification of Bernoulli numbers and a polynomial extension. Part I, 2014-04. (https://hal.science/hal-00931099v1)
  • Christophe Vignat, Victor H. Moll, Mark Coffey, Valerio de Angelis, Atul Dixit, Armin Straub. The Zagier polynomials. Part II: Arithmetic Properties of Coefficients, 2014-01-01. (https://hal.science/hal-01103311v1)
  • Victor H. Moll, Christophe Vignat. On polynomials connected to powers of Bessel functions, 2014-01-01. (https://hal.science/hal-01103319v1)
  • Christophe Vignat, Victor H. Moll, Lin Jiu. Identities for Generalized Euler Polynomials, 2014-01-01. (https://hal.science/hal-01103299v1)
  • Christophe Vignat, Victor H. Moll, Lin Jiu, Alyssa Byrnes. Recursion Rules for the Hypergeometric Zeta Functions, 2014-01-01. (https://hal.science/hal-01103522v1)
  • T. Amdeberhan, Victor H. Moll, Christophe Vignat. A probabilistic interpretation of a sequence related to Narayana numbers, 2013. (https://hal.science/hal-00931136v1)
  • Christophe Vignat, Olivier Leveque. Proof of a conjecture by Gazeau et al. using the Gould Hopper polynomials, 2013-01-01. (https://hal.science/hal-01103313v1)
  • Valerio de Angelis, Victor H. Moll, T. Amdeberhan, Atul Dixit, Christophe Vignat. From sequences to polynomials and back, via operator orderings, 2013. (https://hal.science/hal-00931138v1)
  • Jesus S Dehesa, Angelo R. Plastino, Pablo Sanchez-Moreno, Christophe Vignat. Generalized Cramér-Rao relations for non-relativistic quantum systems, 2012. (https://hal.science/hal-00831856v1)
  • C. Berg, Christophe Vignat. Derivation of an integral of Boros and Moll via convolution of Student t-densities, 2012. (https://hal.science/hal-00831861v1)
  • H.M. Srivastava, Christophe Vignat. Probabilistic proofs of some relationships between the Bernoulli and Euler polynomials, 2012. (https://hal.science/hal-00931135v1)
  • T. Amdeberhan, V. H. Moll, Christophe Vignat. The evaluation of a quartic integral via Schwinger, Schur and Bessel, 2012. (https://hal.science/hal-00831855v1)
  • Pedro Walter Lamberti, Christophe Vignat. H-theorems for the Brownian motion on the hyperbolic plane, 2012. (https://hal.science/hal-00931140v1)
  • Olivier Leveque, Christophe Vignat. A probabilistic approach of sum rules for heat polynomials, 2012. (https://hal.science/hal-00931134v1)
  • Christophe Vignat, Angelo Plastino, Angelo R. Plastino, Jesus S Dehesa. Quantum potentials with q-Gaussian ground states, 2012. (https://hal.science/hal-00831851v1)
  • Christophe Vignat. Old and new results about relativistic Hermite polynomials, 2011. (https://hal.science/hal-00931139v1)
  • Christophe Vignat, Angelo Plastino, Angelo R. Plastino. Entropic upper bound on gravitational binding energy, 2011. (https://hal.science/hal-00831858v1)
  • Steeve Zozor, Christophe Vignat. Spectral measure of the harmonic oscillator with α-stable noise, 2011. (https://hal.science/hal-00623692v1)
  • Christophe Vignat, S. Bhatnagar. An extension of Wick's theorem, 2010-05-25. (https://hal.science/hal-00644712v1)
  • Christian Berg, Christophe Vignat. On the density of the sum of two independent Student t-random vectors, 2010. (https://hal.science/hal-00693454v1)
  • Olivier Leveque, Christophe Vignat, M. Yüksel. Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay, 2010. (https://hal.science/hal-00831860v1)
  • Antoine Chevreuil, Angelo Plastino, Christophe Vignat. On a conjecture about Dirac's delta representation using q-Gaussians, 2010. (https://hal.science/hal-00828456v1)
  • Steeve Zozor, Christophe Vignat. Some results on the denoising problem in the elliptically distributed context, 2010. (https://hal.science/hal-00448934v1)
  • Jean-François Bercher, Christophe Vignat. On minimum Fisher information distributions with restricted support and fixed variance, 2009-11. (https://hal.science/hal-00621947v1)
  • Christophe Vignat, A. Plastino. Geometry of the central limit theorem in the nonextensive case, 2009. (https://hal.science/hal-00693545v1)
  • Christophe Vignat, A. Plastino. Why is the detection of q-Gaussian behavior such a common occurrence?, 2009. (https://hal.science/hal-00693560v1)
  • Christophe Vignat, P. W. Lamberti. A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces, 2009. (https://hal.science/hal-00693543v1)
  • Jean-François Bercher, Christophe Vignat. A new look at q-exponential distributions via excess statistics, 2008-09. (https://hal.science/hal-00621920v1)
  • Steeve Zozor, Mariela Portesi, Christophe Vignat. Some extensions of the uncertainty principle, 2008. (https://hal.science/hal-00282882v1)
  • Steeve Zozor, Christophe Vignat. On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles, 2007-03. (https://hal.science/hal-00096865v1)
  • Christophe Vignat, Angelo Plastino. Scale invariance and related properties of q-Gaussian systems, 2007. (https://hal.science/hal-00621840v1)
  • Christophe Vignat, Angelo Plastino. Central limit theorem and deformed exponentials, 2007. (https://hal.science/hal-00621839v1)
  • Christophe Vignat, Angelo Plastino. Estimation in a fluctuating medium and power-law distributions, 2007. (https://hal.science/hal-00621841v1)
  • Oliver Johnson, Christophe Vignat. Some results concerning maximum Renyi entropy distributions, 2007. (https://hal.science/hal-00621832v1)
  • Angelo Plastino, Christophe Vignat. Poincare's Observation and the Origin of Tsallis Generalized Canonical Distributions, 2006. (https://hal.science/hal-00621843v1)
  • Christophe Vignat, Angelo Plastino. Stochastic invertible mappings for Tsallis distributions, 2006. (https://hal.science/hal-00621844v1)
  • Christophe Vignat, Angelo Plastino, Angelo R. Plastino. Correlated Gaussian Systems exhibiting additive Power-Law Entropies, 2006. (https://hal.science/hal-00621837v1)
  • Christophe Vignat, A. Plastino. Power-law random walks, 2006. (https://hal.science/hal-00693730v1)
  • Pierre-Olivier Amblard, Christophe Vignat. A note on bounded entropies, 2006. (https://hal.science/hal-00136333v1)
  • Florence Sagnard, F. Bentabet, Christophe Vignat. In situ measurements of the complex permittivity of materials using reflection ellipsometry in the microwave band: theory (part I), 2005-06. (https://hal.science/hal-00772981v1)
  • Florence Sagnard, F. Bentabet, Christophe Vignat. In situ measurements of the complex permittivity of materials using reflection ellipsometry in the microwave band: experiments (Part II), 2005-06. (https://hal.science/hal-00772989v1)
  • Christophe Vignat, J. Naudts. Stability of families of probability distributions under reduction of the number of degrees of freedom, 2005-05. (https://hal.science/hal-00621825v1)
  • Christophe Vignat, Angelo Plastino, Angelo R. Plastino. Superstatistics based on the microcanonical ensemble, 2005. (https://hal.science/hal-00621838v1)
  • Christophe Vignat, Angelo Plastino. The p-sphere and the geometric substratum of power law probability distributions, 2005. (https://hal.science/hal-00621842v1)
  • F. Sagnard, Christophe Vignat. Extension of the analytical modelling of resistive loaded thin-wire antennas to Gaussian derivatives excitations, 2005. (https://hal.science/hal-00621847v1)
  • Christophe Vignat, Jean-François Bercher. Analysis of signals in the Fisher-Shannon information plane, 2003. (https://hal.science/hal-00621781v1)
  • Christophe Vignat, Jean-François Bercher. On Fisher Information Inequalities and Score Functions in non-invertible Linear Systems, 2003. (https://hal.science/hal-00621782v1)
  • P. Harremoës, Christophe Vignat. An Entropy Power Inequality for the binomial family, 2003. (https://hal.science/hal-00621718v1)
  • Florence Sagnard, Faroudja Bentabet, Christophe Vignat. Theoretical Study of Methods based on Ellipsometry for measurement of complex Permittivity of Materials, 2000-10. (https://hal.science/hal-00621854v1)
  • Jean-François Bercher, Christophe Vignat. Estimating the entropy of a signal with applications, 2000-06. (https://hal.science/hal-00621665v1)
• Communication dans un congrès - 33 documents
• • Lin Jiu, Christophe Vignat. Connection Coefficients for Higher-order Bernoulli and Euler Polynomials: A Random Walk Approach, 2018-07-01. (https://hal.science/hal-02357066v1)
  • Steeve Zozor, Christophe Vignat. Phase Space Analysis of the Harmonic Oscillator with Lévy Noise: Spectral Measure and Deviation from Ellipticity, 2011-08-29. (https://hal.science/hal-00623694v1)
  • Steeve Zozor, Christophe Vignat. Sur la mesure spectrale de l'oscillateur harmonique excité par un bruit α-stable, 2011-08-05. (https://hal.science/hal-00623693v1)
  • Steeve Zozor, Christophe Vignat. Estimation MAP pour des variables elliptiquement distribuées, 2009-09-08. (https://hal.science/hal-00436593v1)
  • Steeve Zozor, Christophe Vignat. On the MAP estimation in the context of elliptical distributions, 2009-08-24. (https://hal.science/hal-00436588v1)
  • Christophe Vignat, Jean-François Bercher. Geometric aspects of the non-extensive statistical theory, 2009-07. (https://hal.science/hal-00621944v1)
  • Steeve Zozor, Christophe Vignat. Revisiting the denoising problem in the context of elliptical distributions, 2008-08-25. (https://hal.science/hal-00282969v1)
  • Steeve Zozor, Mariela Portesi, Christophe Vignat. Some entropic extensions of the uncertainty principle, 2008-07-06. (https://hal.science/hal-00282363v1)
  • Jean-François Bercher, Christophe Vignat. An Entropic View of Pickands' Theorem, 2008-07. (https://hal.science/hal-00621924v1)
  • Steeve Zozor, Christophe Vignat. Forme entropique du principe d'incertitude et cas d'égalité asymptotique, 2007-09-11. (https://hal.science/hal-00147943v1)
  • Steeve Zozor, Christophe Vignat. Non-Gaussian asymptotic minimizers in entropic uncertainty principles and the dimensional effect, 2006. (https://hal.science/hal-00621834v1)
  • Steeve Zozor, Christophe Vignat. Non-Gaussian asymptotic minimizers in entropic uncertainty principle and the dimensional effect, 2006. (https://hal.science/hal-00069363v1)
  • P. Harremoës, Christophe Vignat. Renyi entropies of Projections, 2006. (https://hal.science/hal-00621846v1)
  • Florence Sagnard, Thomas Quiniou, Christophe Vignat, Ghaïs El Zein. Identification of multipath phenomena from wide-band electromagnetic interactions with construction, 2004-05-23. (https://hal.science/hal-00870786v1)
  • Christophe Vignat, J. Costa, A. Hero. On Solutions to Multivariate Maximum alpha-entropy Problems, 2003. (https://hal.science/hal-00621785v1)
  • F. Sagnard, D. Seetharamdoo, Christophe Vignat. Reflection ellipsometry for in-situ measurements of complex permittivity and thickness of a single-layer material at microwave frequencies : Theory and Experiments, 2002-09. (https://hal.science/hal-00621814v1)
  • Christophe Vignat, Jean-François Bercher. Matrix Fisher inequalities for non-invertible linear systems, 2002. (https://hal.science/hal-00621784v1)
  • Christophe Vignat, Jean-François Bercher. A Renyi entropy convolution inequality with application, 2002. (https://hal.science/hal-00621783v1)
  • J.A. Costa, A.O. Hero, Christophe Vignat. A characterization of the multivariate distributions maximizing Renyi entropy, 2002. (https://hal.science/hal-00621698v1)
  • S. Mengué, Christophe Vignat. Space: a Toolbox for the Simulation of Analog Electronic Circuits, 2001-10. (https://hal.science/hal-00621794v1)
  • F. Sagnard, Christophe Vignat, V. Moncourtois, E. Rolland. Détermination de la permittivité complexe de matériaux de construction dans le domaine micro-onde : Comparaison des méthodes de Fresnel et d'ellipsométrie micro-onde par réflexion, 2001. (https://hal.science/hal-00621773v1)
  • F. Sagnard, Christophe Vignat, S. Corral, V. Moncourtois. ECAMO et CREMO: deux interfaces graphiques pour comprendre par l'expérimentation le rayonnement et la propagation des ondes électromagnétiques dans le domaine micro-ondes, 2001. (https://hal.science/hal-00621772v1)
  • Florence Sagnard, Christophe Vignat, Valérie Montcourtois, Emmanuel Rolland. Microwave measurements of the complex permittivity of construction materials using Fresnel reflection coefficients and reflection ellipsometry, 2001. (https://hal.science/hal-00621774v1)
  • Stéphanie Mengué, Christophe Vignat, François Davoust, Loïc Gridaine. Space: un environnement de simulation de circuits analogiques simple et convivial sous Matlab, 2001. (https://hal.science/hal-00621756v1)
  • Christophe Vignat, S. Valléry. ZeroPole: a new tool for teaching filter theory and design, 2000. (https://hal.science/hal-00621788v1)
  • Christophe Vignat, Jean-François Bercher. Un estimateur récursif de l'entropie, 1999-09. (https://hal.science/hal-00621815v1)
  • Jean-François Bercher, Christophe Vignat. Estimating the entropy of a signal with applications, 1999. (https://hal.science/hal-00621667v1)
  • C. Simon, Philippe Loubaton, Christophe Vignat, Christian Jutten, G. D. Urso. Separation of a class of convolutive mixtures: a contrast function approach, 1999. (https://hal.science/hal-00621855v1)
  • Antoine Chevreuil, Christophe Vignat. Unbiased adaptive equalization: the Gaussian kernel contrast functions, 1999. (https://hal.science/hal-00621689v1)
  • C. Simon, Philippe Loubaton, Christophe Vignat, Christian Jutten, G. D. Urso. Blind source separation of convolutive mixtures by maximization of fourth-order cumulants : the non i.i.d. case, 1998-11. (https://hal.science/hal-00621856v1)
  • C. Simon, Christophe Vignat, Philippe Loubaton, Christian Jutten, G. D. Urso. On the convolutive mixture - source separation by the decorrelation approach, 1998-05. (https://hal.science/hal-00621857v1)
  • C. Simon, Christophe Vignat, Philippe Loubaton, Christian Jutten, G. D. Urso. Quelques remarques méthodologiques concernant la séparation des mélanges convolutifs par l'approche de décorrélation, 1997-09. (https://hal.science/hal-00621858v1)
  • Christophe Vignat, Philippe Loubaton. Blind beamforming in a cyclostationnary context using an optimally weighted quadratic cost function, 1996-09. (https://hal.science/hal-00621787v1)