Christophe Vignat

118

Documents

Publications

	An operational calculus generalization of Ramanujan's master theorem Zachary Bradshaw , Christophe Vignat Journal of Mathematical Analysis and Applications, 2023, 523 (2), pp.127029. ⟨10.1016/j.jmaa.2023.127029⟩ Article dans une revue hal-04407697v1
	Compatibility of the method of brackets with classical integration rules Zachary Bradshaw , Ivan Gonzalez , Lin Jiu , Victor Hugo Moll , Christophe Vignat Open Mathematics Journal, 2023, 21 (1), ⟨10.1515/math-2022-0581⟩ Article dans une revue hal-04416656v1
	On a result of Koecher concerning Markov–Apéry-type formulas for the Riemann zeta function Karl Dilcher , Christophe Vignat International Journal of Number Theory, 2023, 19 (04), pp.709-731. ⟨10.1142/S1793042123500355⟩ Article dans une revue hal-04407695v1
	A triple integral analog of a multiple zeta value Tewodros Amdeberhan , Victor Moll , Armin Straub , Christophe Vignat International Journal of Number Theory, 2021, 17 (02), pp.223-237. ⟨10.1142/S1793042120400102⟩ Article dans une revue hal-03182877v1
	Structural properties of multiple zeta values Tanay Wakhare , Christophe Vignat International Journal of Number Theory, 2021, 17 (08), pp.1873-1897. ⟨10.1142/S1793042121500676⟩ Article dans une revue hal-03341732v1
	Integrals involving Bernoulli and Euler polynomials Victor H. Moll , Christophe Vignat Scientia Series. A: Mathematical Science, 2020 Article dans une revue hal-02927362v1
	Analytic continuation for multiple zeta values using symbolic representations Lin Jiu , Christophe Vignat , Tanay Wakhare International Journal of Number Theory, 2020, 16 (03), pp.579-602. ⟨10.1142/S1793042120500293⟩ Article dans une revue hal-02518758v1
	Taylor coefficients of the Jacobi θ3(q) function Tanay Wakhare , Christophe Vignat Journal of Number Theory, 2020, 216, pp.280-306. ⟨10.1016/j.jnt.2020.03.002⟩ Article dans une revue hal-02910201v1
	Nonconventional limits of random sequences related to partitions of integers Jordan Stoyanov , Christophe Vignat Proceedings of the American Mathematical Society, 2020, 148 (4), pp.1791-1804. ⟨10.1090/proc/14638⟩ Article dans une revue hal-02500435v1
	Multiple zeta values for classical special functions Tanay Wakhare , Christophe Vignat Ramanujan Journal, 2020, 51 (3), pp.519-551. ⟨10.1007/s11139-019-00186-5⟩ Article dans une revue hal-02508678v1
	A Continuous Analogue of Lattice Path Enumeration Quang-Nhat Le , Sinai Robins , Christophe Vignat , Tanay Wakhare The Electronic Journal of Combinatorics, 2019, 26 (3), ⟨10.37236/8788⟩ Article dans une revue hal-02303434v1
	Finite generating functions for the sum-of-digits sequence Christophe Vignat , Tanay Wakhare Ramanujan Journal, 2019, 50 (3), pp.639-684. ⟨10.1007/s11139-018-0065-0⟩ Article dans une revue hal-02364029v1
	About some identities for Bessel polynomials Christophe Vignat Scientia Series. A: Mathematical Science, 2019 Article dans une revue hal-02270201v1
	Identities for Bernoulli polynomials related to multiple Tornheim zeta functions Karl Dilcher , Armin Straub , Christophe Vignat Journal of Mathematical Analysis and Applications, 2019, 476 (2), pp.569-584. ⟨10.1016/j.jmaa.2019.03.071⟩ Article dans une revue hal-02146468v1
	A continuous analogue of lattice path enumeration: Part II Tanay Wakhare , Christophe Vignat The Electronic Journal of Combinatorics, 2019 Article dans une revue hal-02134901v1
	Settling some sum suppositions Christophe Vignat , T. Wakhare Acta Mathematica Hungarica, 2019, 157 (2), pp.327-348. ⟨10.1007/s10474-018-0886-8⟩ Article dans une revue hal-02090540v1
	A symbolic approach to multiple zeta values at negative integers Lin Jiu , Victor H. Moll , Christophe Vignat Journal of Symbolic Computation, 2018, 84, pp.1-13. ⟨10.1016/j.jsc.2017.01.002⟩ Article dans une revue hal-01567266v1
	Infinite products involving Dirichlet characters and cyclotomic polynomials K. Dilcher , Christophe Vignat Advances in Applied Mathematics, 2018, 100, pp.43 - 70. ⟨10.1016/j.aam.2018.05.003⟩ Article dans une revue hal-01844864v1
	Woon’s tree and sums over compositions Christophe Vignat , Tanay Wakhare Journal of Integer Sequences, 2018 Article dans une revue hal-01844867v1
	Modified Nörlund Polynomials A. Kabza , Atul Dixit , Victor H. Moll , Christophe Vignat Ramanujan Journal (The), 2017, 42 (1), pp.69-96. ⟨10.1007/s11139-015-9701-0⟩ Article dans une revue hal-01429256v1
	An explicit form of the polynomial part of a restricted partition function Karl Dilcher , Christophe Vignat Research in Number Theory, 2017, 3 (1), ⟨10.1007/s40993-016-0065-3⟩ Article dans une revue hal-01448646v1
	Euler and the strong law of small numbers Karl Dilcher , Christophe Vignat The American Mathematical Monthly, 2016, 123 (5), pp.486-490. ⟨10.4169/amer.math.monthly.123.5.486⟩ Article dans une revue hal-01326690v1
	A series involving Catalan numbers. Proofs and demonstrations Tewodros Amdeberhan , Xiao Guan , Lin Jiu , Victor H. Moll , Christophe Vignat Elemente der Mathematik, 2016, 71 (3), pp.109-121. ⟨10.4171/em/306⟩ Article dans une revue hal-01348855v1
	The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions Victor H. Moll , Tewodros Amdeberhan , Atul Dixit , Xia Guan , Lin Jiu Scientia, 2016, 27, pp.47-74 Article dans une revue hal-01365981v1
	A symbolic approach to some identities for Bernoulli-Barnes polynomials Lin Jiu , Victor H. Moll , Christophe Vignat International Journal of Number Theory, 2016, 12 (03), pp.649-662. ⟨10.1142/s1793042116500421⟩ Article dans une revue hal-01294173v1
	On Binomial Identities in Arbitrary Bases Lin Jiu , Christophe Vignat Journal of Integer Sequences, 2016, 19 (16.5.5) Article dans une revue hal-01326044v1
	Densities of short uniform random walks in higher dimensions Jonathan M. Borwein , Armin Straub , Christophe Vignat Journal of Mathematical Analysis and Applications, 2016, 437 (1), pp.668-707. ⟨10.1016/j.jmaa.2016.01.017⟩ Article dans une revue hal-01261938v1
	Asymptotics and exact formulas for Zagier polynomials Atul Dixit , Lawrence M. Glasser , Victor H. Moll , Christophe Vignat Research in Number Theory, 2016, 2 (12), ⟨10.1007/s40993-016-0044-8⟩ Article dans une revue hal-01345428v1
	General convolutions identities for Bernoulli and Euler polynomials Karl Ditcher , Christophe Vignat Journal of Mathematical Analysis and Applications, 2016, 435 (2), pp.1478-1498. ⟨10.1016/j.jmaa.2015.11.006⟩ Article dans une revue hal-01248271v1
	The integrals in Gradshteyn and Ryzhik. Part 29: Chebyshev polynomials Victor H. Moll , Christophe Vignat Scientia, 2016, 27, pp.31-40 Article dans une revue hal-01365980v1
	Euler polynomials and identities for non-commutative operators Valerio de Angelis , Christophe Vignat Journal of Mathematical Physics, 2015, ⟨10.1063/1.4938077⟩ Article dans une revue hal-01248828v1
	Variational Principle for a Schrödinger Equation with Non-Hermitian Hamiltonian and Position—Dependent Mass Christophe Vignat , Angelo R. Plastino Communications in Theoretical Physics, 2015, 63 (3), pp.3. ⟨10.1088/0253-6102/63/3/275⟩ Article dans une revue hal-01130001v1
	A probabilistic approach to some binomial identities Victor H. Moll , Christophe Vignat Elemente der Mathematik, 2015, 70 (2), pp.55. ⟨10.4171/em/275⟩ Article dans une revue hal-01322850v1
	The finite Fourier transform of classical polynomials Atul Dixit , Lin Jiu , Victor H. Moll , Christophe Vignat Journal of the Australian Mathematical Society, 2015, 98, pp.145-160. ⟨10.1017/s1446788714000500⟩ Article dans une revue hal-01116888v1
	Generalized Bernoulli numbers and a formula of Lucas Victor H. Moll , Christophe Vignat The Fibonacci Quarterly, 2015, 53 (4), pp.349 Article dans une revue hal-01322848v1
	The Zagier modification of Bernoulli numbers and a polynomial extension. Part I Atul Dixit , Victor H. Moll , Christophe Vignat Ramanujan Journal (The), 2014, 33 (3), pp.379-422. ⟨10.1007/s11139-013-9484-0⟩ Article dans une revue hal-00931099v1
	The Zagier polynomials. Part II: Arithmetic Properties of Coefficients Christophe Vignat , Victor H. Moll , Mark Coffey , Valerio de Angelis , Atul Dixit Ramanujan Journal (The), 2014, pp.29 Article dans une revue hal-01103311v1
	On polynomials connected to powers of Bessel functions Victor H. Moll , Christophe Vignat International Journal of Number Theory, 2014, pp.12 Article dans une revue hal-01103319v1
	Recursion Rules for the Hypergeometric Zeta Functions Christophe Vignat , Victor H. Moll , Lin Jiu , Alyssa Byrnes International Journal of Number Theory, 2014, pp.21 Article dans une revue hal-01103522v1
	Identities for Generalized Euler Polynomials Christophe Vignat , Victor H. Moll , Lin Jiu Integral Transforms and Special Functions, 2014, 25 (10), pp.12 Article dans une revue hal-01103299v1
	A probabilistic interpretation of a sequence related to Narayana numbers T. Amdeberhan , Victor H. Moll , Christophe Vignat Online Journal of Analytic Combinatorics, 2013, 8, pp.1 Article dans une revue hal-00931136v1
	From sequences to polynomials and back, via operator orderings Valerio de Angelis , Victor H. Moll , T. Amdeberhan , Atul Dixit , Christophe Vignat Journal of Mathematical Physics, 2013, 54, pp.123502. ⟨10.1063/1.4836778⟩ Article dans une revue hal-00931138v1
	Proof of a conjecture by Gazeau et al. using the Gould Hopper polynomials Christophe Vignat , Olivier Leveque Journal of Mathematical Physics, 2013, pp.10 Article dans une revue hal-01103313v1
	Derivation of an integral of Boros and Moll via convolution of Student t-densities C. Berg , Christophe Vignat Ramanujan Journal, 2012, 27 (2), pp.147-150. ⟨10.1007/s11139-010-9279-5⟩ Article dans une revue hal-00831861v1
	Generalized Cramér-Rao relations for non-relativistic quantum systems Jesus S Dehesa , Angelo R. Plastino , Pablo Sanchez-Moreno , Christophe Vignat Applied Mathematics Letters, 2012, 25 (11), pp.1689-1694. ⟨10.1016/j.aml.2012.01.038⟩ Article dans une revue hal-00831856v1
	A probabilistic approach of sum rules for heat polynomials Olivier Leveque , Christophe Vignat Journal of Mathematical Physics, 2012, 45, pp.015001 Article dans une revue hal-00931134v1
	Quantum potentials with q-Gaussian ground states Christophe Vignat , Angelo Plastino , Angelo R. Plastino , Jesus S Dehesa Physica A: Statistical Mechanics and its Applications, 2012, 391 (4), pp.1068-1073 Article dans une revue hal-00831851v1
	Probabilistic proofs of some relationships between the Bernoulli and Euler polynomials H.M. Srivastava , Christophe Vignat European Journal of Pure and Applied Mathematics, 2012, 5 (2), pp.97-107 Article dans une revue hal-00931135v1
	The evaluation of a quartic integral via Schwinger, Schur and Bessel T. Amdeberhan , V. H. Moll , Christophe Vignat Ramanujan Journal, 2012, 28 (1), pp.1-14. ⟨10.1007/s11139-010-9291-9⟩ Article dans une revue hal-00831855v1
	H-theorems for the Brownian motion on the hyperbolic plane Pedro Walter Lamberti , Christophe Vignat Physica A: Statistical Mechanics and its Applications, 2012, 391, pp.544-551 Article dans une revue hal-00931140v1
	Entropic upper bound on gravitational binding energy Christophe Vignat , Angelo Plastino , Angelo R. Plastino Physica A: Statistical Mechanics and its Applications, 2011, 390 (13), pp.2491-2496. ⟨10.1016/j.physa.2011.02.042⟩ Article dans une revue hal-00831858v1
	Old and new results about relativistic Hermite polynomials Christophe Vignat Journal of Mathematical Physics, 2011, 52 (9), pp.093503. ⟨10.1063/1.3637747⟩ Article dans une revue hal-00931139v1
	Spectral measure of the harmonic oscillator with α-stable noise Steeve Zozor , Christophe Vignat Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2011, 84 (3), pp.031115. ⟨10.1103/PhysRevE.84.031115⟩ Article dans une revue hal-00623692v1
	On the density of the sum of two independent Student t-random vectors Christian Berg , Christophe Vignat Statistics and Probability Letters, 2010, 80 (13-14), pp.1043-1055. ⟨10.1016/j.spl.2010.02.019⟩ Article dans une revue hal-00693454v1
	An extension of Wick's theorem Christophe Vignat , S. Bhatnagar Statistics and Probability Letters, 2010, 78 (15), pp.2404. ⟨10.1016/j.spl.2008.03.003⟩ Article dans une revue hal-00644712v1
	Some results on the denoising problem in the elliptically distributed context Steeve Zozor , Christophe Vignat IEEE Transactions on Signal Processing, 2010, 58 (1), pp.134-150. ⟨10.1109/TSP.2009.2030840⟩ Article dans une revue hal-00448934v1
	On a conjecture about Dirac's delta representation using q-Gaussians Antoine Chevreuil , Angelo Plastino , Christophe Vignat Journal of Mathematical Physics, 2010, 51 (9), pp.093502 Article dans une revue hal-00828456v1
	Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay Olivier Leveque , Christophe Vignat , M. Yüksel IEEE Transactions on Information Theory, 2010, 56 (7), pp.3356 - 3368. ⟨10.1109/TIT.2010.2048471⟩ Article dans une revue hal-00831860v1
	On minimum Fisher information distributions with restricted support and fixed variance Jean-François Bercher , Christophe Vignat Information Sciences, 2009, 179 (1), pp.3832-3842 Article dans une revue hal-00621947v1
	Geometry of the central limit theorem in the nonextensive case Christophe Vignat , A. Plastino Physics Letters A, 2009, 373 (20), pp.1713--1718. ⟨10.1016/j.physleta.2009.03.029⟩ Article dans une revue hal-00693545v1
	A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces Christophe Vignat , P. W. Lamberti Journal of Mathematical Physics, 2009, 50 (10), ⟨10.1063/1.3227659⟩ Article dans une revue hal-00693543v1
	Why is the detection of q-Gaussian behavior such a common occurrence? Christophe Vignat , A. Plastino Physica A: Statistical Mechanics and its Applications, 2009, 388 (5), pp.601-608. ⟨10.1016/j.physa.2008.11.001⟩ Article dans une revue hal-00693560v1
	A new look at q-exponential distributions via excess statistics Jean-François Bercher , Christophe Vignat Physica A: Statistical Mechanics and its Applications, 2008, 387 (22), pp.5422-5432. ⟨10.1016/j.physa.2008.05.038⟩ Article dans une revue hal-00621920v1
	Some extensions of the uncertainty principle Steeve Zozor , Mariela Portesi , Christophe Vignat Physica A: Statistical Mechanics and its Applications, 2008, 37 (19-20), pp.4800-4808. ⟨10.1016/j.physa.2008.04.010⟩ Article dans une revue hal-00282882v1
	Scale invariance and related properties of q-Gaussian systems Christophe Vignat , Angelo Plastino Physics Letters A, 2007, 365 (5-6), pp.370-375 Article dans une revue hal-00621840v1
	Central limit theorem and deformed exponentials Christophe Vignat , Angelo Plastino Journal of Physics A: Mathematical and Theoretical, 2007, 40 (1), pp.F969-F978 Article dans une revue hal-00621839v1
	Some results concerning maximum Renyi entropy distributions Oliver Johnson , Christophe Vignat Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2007, 43 (3), pp.339-351. ⟨10.1016/j.anihpb.2006.05.001⟩ Article dans une revue hal-00621832v1
	On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles Steeve Zozor , Christophe Vignat Physica A: Statistical Mechanics and its Applications, 2007, 375, pp.499-517. ⟨10.1016/j.physa.2006.09.019⟩ Article dans une revue hal-00096865v1
	Estimation in a fluctuating medium and power-law distributions Christophe Vignat , Angelo Plastino Physics Letters A, 2007, 360 (1), pp.415-418 Article dans une revue hal-00621841v1
	Poincare's Observation and the Origin of Tsallis Generalized Canonical Distributions Angelo Plastino , Christophe Vignat Physica A: Statistical Mechanics and its Applications, 2006, 365 (1), pp.167-172 Article dans une revue hal-00621843v1
	Stochastic invertible mappings for Tsallis distributions Christophe Vignat , Angelo Plastino Comptes Rendus. Physique, 2006, 7 (3-4), pp.442-448 Article dans une revue hal-00621844v1
	Correlated Gaussian Systems exhibiting additive Power-Law Entropies Christophe Vignat , Angelo Plastino , Angelo R. Plastino Physics Letters A, 2006, 354 (1-2), pp.27-30 Article dans une revue hal-00621837v1
	Power-law random walks Christophe Vignat , A. Plastino Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2006, 74 (5), ⟨10.1103/PhysRevE.74.051124⟩ Article dans une revue hal-00693730v1
	A note on bounded entropies Pierre-Olivier Amblard , Christophe Vignat Physica A: Statistical Mechanics and its Applications, 2006, 365, pp.50--56. ⟨10.1016/j.physa.2006.01.002⟩ Article dans une revue hal-00136333v1
	Extension of the analytical modelling of resistive loaded thin-wire antennas to Gaussian derivatives excitations F. Sagnard , Christophe Vignat Microwave and Optical Technology Letters, 2005, 47 (6), pp.548-553 Article dans une revue hal-00621847v1
	Stability of families of probability distributions under reduction of the number of degrees of freedom Christophe Vignat , J. Naudts Physica A: Statistical Mechanics and its Applications, 2005, 350 (2-4), pp.296-302 Article dans une revue hal-00621825v1
	The p-sphere and the geometric substratum of power law probability distributions Christophe Vignat , Angelo Plastino Physics Letters A, 2005, 343 (6), pp.411-416 Article dans une revue hal-00621842v1
	In situ measurements of the complex permittivity of materials using reflection ellipsometry in the microwave band: theory (part I) Florence Sagnard , F. Bentabet , Christophe Vignat IEEE Transactions on Instrumentation and Measurement, 2005, 34 (3), pp.1266-1273. ⟨10.1109/TIM.2005.847203⟩ Article dans une revue hal-00772981v1
	Superstatistics based on the microcanonical ensemble Christophe Vignat , Angelo Plastino , Angelo R. Plastino Nuovo Cimento B, 2005, 120 (9), pp.951-963 Article dans une revue hal-00621838v1
	In situ measurements of the complex permittivity of materials using reflection ellipsometry in the microwave band: experiments (Part II) Florence Sagnard , F. Bentabet , Christophe Vignat IEEE Transactions on Instrumentation and Measurement, 2005, 54 (3), pp.1274-1282. ⟨10.1109/TIM.2005.847199⟩ Article dans une revue hal-00772989v1
	Analysis of signals in the Fisher-Shannon information plane Christophe Vignat , Jean-François Bercher Physics Letters A, 2003, 312 (1), pp.27-33 Article dans une revue hal-00621781v1
	An Entropy Power Inequality for the binomial family P. Harremoës , Christophe Vignat Journal of Inequalities in Pure and Applied Mathematics, 2003, 4 (5), 10pp Article dans une revue hal-00621718v1
	On Fisher Information Inequalities and Score Functions in non-invertible Linear Systems Christophe Vignat , Jean-François Bercher JIPAM, 2003, 4 (4), 10pp Article dans une revue hal-00621782v1
	Theoretical Study of Methods based on Ellipsometry for measurement of complex Permittivity of Materials Florence Sagnard , Faroudja Bentabet , Christophe Vignat Electronics Letters, 2000, ? (22), pp.1843-45 Article dans une revue hal-00621854v1
	Estimating the entropy of a signal with applications Jean-François Bercher , Christophe Vignat IEEE Transactions on Signal Processing, 2000, 48 (6), pp.1687-1694 Article dans une revue hal-00621665v1

	Connection Coefficients for Higher-order Bernoulli and Euler Polynomials: A Random Walk Approach Lin Jiu , Christophe Vignat the 18th International Conference on Fibonacci Numbers and Their Applications, Jul 2018, halifax, Canada. pp.84-95 Communication dans un congrès hal-02357066v1
	Phase Space Analysis of the Harmonic Oscillator with Lévy Noise: Spectral Measure and Deviation from Ellipticity Steeve Zozor , Christophe Vignat EUSIPCO 2011 - 19th European Signal Processing Conference, Aug 2011, Barcelone, Spain. pp.2239-2243 Communication dans un congrès hal-00623694v1
	Sur la mesure spectrale de l'oscillateur harmonique excité par un bruit α-stable Steeve Zozor , Christophe Vignat GRETSI 2011 - XXIIIème Colloque francophone de traitement du signal et des images, Aug 2011, Bordeaux, France. s.p Communication dans un congrès hal-00623693v1
	Geometric aspects of the non-extensive statistical theory Christophe Vignat , Jean-François Bercher Maximum Entropy and Bayesian Methods (MaxEnt'09), Jul 2009, France. 10pp Communication dans un congrès hal-00621944v1
	Estimation MAP pour des variables elliptiquement distribuées Steeve Zozor , Christophe Vignat GRETSI 2009 - XXIIème Colloque francophone de traitement du signal et des images, Sep 2009, Dijon, France Communication dans un congrès hal-00436593v1
	On the MAP estimation in the context of elliptical distributions Steeve Zozor , Christophe Vignat EUSIPCO 2009 - 17th European Signal Processing Conference, Aug 2009, Glasgow, United Kingdom. pp.2460-2464 Communication dans un congrès hal-00436588v1
	Revisiting the denoising problem in the context of elliptical distributions Steeve Zozor , Christophe Vignat EUSIPCO 2008 - 16th European Signal Processing Conference, Aug 2008, Lausanne, Switzerland. pp.cd rom Communication dans un congrès hal-00282969v1
	Some entropic extensions of the uncertainty principle Steeve Zozor , Mariela Portesi , Christophe Vignat ISIT 2008 - IEEE International Symposium on Information Theory, Jul 2008, Toronto, Canada. pp.1676-1680, ⟨10.1109/ISIT.2008.4595273⟩ Communication dans un congrès hal-00282363v1
	An Entropic View of Pickands' Theorem Jean-François Bercher , Christophe Vignat International Symposium on Information Theory (ISIT 2008), Jul 2008, Toronto, Canada. pp.2625-2628, ⟨10.1109/ISIT.2008.4595467⟩ Communication dans un congrès hal-00621924v1
	Forme entropique du principe d'incertitude et cas d'égalité asymptotique Steeve Zozor , Christophe Vignat GRETSI 2007 - XXIème Colloque francophone de traitement du signal et des images, Sep 2007, Troyes, France Communication dans un congrès hal-00147943v1
	Non-Gaussian asymptotic minimizers in entropic uncertainty principles and the dimensional effect Steeve Zozor , Christophe Vignat ISIT, 2006, France. pp.2085-2089 Communication dans un congrès hal-00621834v1
	Renyi entropies of Projections P. Harremoës , Christophe Vignat ISIT, 2006, France. pp.1827-1830 Communication dans un congrès hal-00621846v1
	Non-Gaussian asymptotic minimizers in entropic uncertainty principle and the dimensional effect Steeve Zozor , Christophe Vignat IEEE International Symposium on Information Theory (ISIT), 2006, Seattle, United States. pp.2085-2089, ⟨10.1109/ISIT.2006.261918⟩ Communication dans un congrès hal-00069363v1
	Identification of multipath phenomena from wide-band electromagnetic interactions with construction Florence Sagnard , Thomas Quiniou , Christophe Vignat , Ghaïs El Zein URSI 2004 International Symposium on Electromagnetic Theory, May 2004, Pise, Italy. pp.627-629 Communication dans un congrès hal-00870786v1
	On Solutions to Multivariate Maximum alpha-entropy Problems Christophe Vignat , J. Costa , A. Hero EMMCVPR 2003, Lisbon, 7-9 July 2003, Lecture Notes in Computer Science, Springer-Verlag, Vol. 2683, pp. 211 - 228, 2003, France. 10pp Communication dans un congrès hal-00621785v1
	A characterization of the multivariate distributions maximizing Renyi entropy J.A. Costa , A.O. Hero , Christophe Vignat IEEE International Symposium on Information Theory ISIT 2002, Lausanne, Page(s): 263 -263, 2002, France. 10pp Communication dans un congrès hal-00621698v1
	A Renyi entropy convolution inequality with application Christophe Vignat , Jean-François Bercher EUSIPCO 2002, Toulouse, 2002, France. 10pp Communication dans un congrès hal-00621783v1
	Matrix Fisher inequalities for non-invertible linear systems Christophe Vignat , Jean-François Bercher IEEE International Symposium on Information Theory ISIT 2002, Lausanne, Page(s): 237 -237, 2002, France. 10pp Communication dans un congrès hal-00621784v1
	Reflection ellipsometry for in-situ measurements of complex permittivity and thickness of a single-layer material at microwave frequencies : Theory and Experiments F. Sagnard , D. Seetharamdoo , Christophe Vignat 32nd EUMC, Sep 2002, Milan, France. 10pp Communication dans un congrès hal-00621814v1
	Space: un environnement de simulation de circuits analogiques simple et convivial sous Matlab Stéphanie Mengué , Christophe Vignat , François Davoust , Loïc Gridaine CETSIS E.E.A., 2001, Clermont-Ferrand, France, France. pp.245-248 Communication dans un congrès hal-00621756v1
	ECAMO et CREMO: deux interfaces graphiques pour comprendre par l'expérimentation le rayonnement et la propagation des ondes électromagnétiques dans le domaine micro-ondes F. Sagnard , Christophe Vignat , S. Corral , V. Moncourtois CETSIS E.E.A. 2001, Clermont-Ferrand, pp. 325-28, 2001, France. 10pp Communication dans un congrès hal-00621772v1
	Space: a Toolbox for the Simulation of Analog Electronic Circuits S. Mengué , Christophe Vignat Nordic Matlab Conference, Oct 2001, Oslo, France. pp.56-59 Communication dans un congrès hal-00621794v1
	Microwave measurements of the complex permittivity of construction materials using Fresnel reflection coefficients and reflection ellipsometry Florence Sagnard , Christophe Vignat , Valérie Montcourtois , Emmanuel Rolland 2001 IEEE AP-S International symposium and USNC/URSI national radio science meeting, Boston, July 8-13 2001, pp. 626-29, 2001, France. 10pp Communication dans un congrès hal-00621774v1
	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 F. Sagnard , Christophe Vignat , V. Moncourtois , E. Rolland Journées Nationales Microondes, (JNM), Poitiers Futuroscope, 16-18 mai 2001, 2001, France. 10pp Communication dans un congrès hal-00621773v1
	ZeroPole: a new tool for teaching filter theory and design Christophe Vignat , S. Valléry Proceedings of the First IEEE Workshop on Signal Processing Education, Hunt, October 15-18 2000, 2000, France. 10pp Communication dans un congrès hal-00621788v1
	Un estimateur récursif de l'entropie Christophe Vignat , Jean-François Bercher 17eme Groupe de recherche et d'études du traitement du signal et des images (GRETSI'99), Sep 1999, Vannes, France. pp.701-704 Communication dans un congrès hal-00621815v1
	Estimating the entropy of a signal with applications Jean-François Bercher , Christophe Vignat IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings ICASSP99, 1999, France. pp.1705 Communication dans un congrès hal-00621667v1
	Unbiased adaptive equalization: the Gaussian kernel contrast functions Antoine Chevreuil , Christophe Vignat Thirty-Third Asilomar Conference on Signals, Systems, and Computers vol.1, 1999, pp.539-43 vol.1, 1999, France. 10pp Communication dans un congrès hal-00621689v1
	Separation of a class of convolutive mixtures: a contrast function approach C. Simon , Philippe Loubaton , Christophe Vignat , Christian Jutten , G. D. Urso Proceedings. ICASSP99, 1999, France. pp.1429-32 Communication dans un congrès hal-00621855v1
	Blind source separation of convolutive mixtures by maximization of fourth-order cumulants : the non i.i.d. case C. Simon , Philippe Loubaton , Christophe Vignat , Christian Jutten , G. D. Urso Proc. Asilomar-98, Nov 1998, France. pp.1584-88 Communication dans un congrès hal-00621856v1
	On the convolutive mixture - source separation by the decorrelation approach C. Simon , Christophe Vignat , Philippe Loubaton , Christian Jutten , G. D. Urso Proc. ICASSP-98, Seattle, May 1998, France. pp.2109-2112 Communication dans un congrès hal-00621857v1
	Quelques remarques méthodologiques concernant la séparation des mélanges convolutifs par l'approche de décorrélation C. Simon , Christophe Vignat , Philippe Loubaton , Christian Jutten , G. D. Urso Actes du seizième colloque GRETSI, Sep 1997, France. pp.11-14 Communication dans un congrès hal-00621858v1
	Blind beamforming in a cyclostationnary context using an optimally weighted quadratic cost function Christophe Vignat , Philippe Loubaton Proc. EUSIPCO-96, Sep 1996, France. pp.2101-2104 Communication dans un congrès hal-00621787v1

Christophe Vignat

Publications

An operational calculus generalization of Ramanujan's master theorem

Compatibility of the method of brackets with classical integration rules

On a result of Koecher concerning Markov–Apéry-type formulas for the Riemann zeta function

A triple integral analog of a multiple zeta value

Structural properties of multiple zeta values

Integrals involving Bernoulli and Euler polynomials

Analytic continuation for multiple zeta values using symbolic representations

Taylor coefficients of the Jacobi θ3(q) function

Nonconventional limits of random sequences related to partitions of integers

Multiple zeta values for classical special functions

A Continuous Analogue of Lattice Path Enumeration

Finite generating functions for the sum-of-digits sequence

About some identities for Bessel polynomials

Identities for Bernoulli polynomials related to multiple Tornheim zeta functions

A continuous analogue of lattice path enumeration: Part II

Settling some sum suppositions

A symbolic approach to multiple zeta values at negative integers

Infinite products involving Dirichlet characters and cyclotomic polynomials

Woon’s tree and sums over compositions

Modified Nörlund Polynomials

An explicit form of the polynomial part of a restricted partition function

Euler and the strong law of small numbers

A series involving Catalan numbers. Proofs and demonstrations

The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions

A symbolic approach to some identities for Bernoulli-Barnes polynomials

On Binomial Identities in Arbitrary Bases

Densities of short uniform random walks in higher dimensions

Asymptotics and exact formulas for Zagier polynomials

General convolutions identities for Bernoulli and Euler polynomials

The integrals in Gradshteyn and Ryzhik. Part 29: Chebyshev polynomials

Euler polynomials and identities for non-commutative operators

Variational Principle for a Schrödinger Equation with Non-Hermitian Hamiltonian and Position—Dependent Mass

A probabilistic approach to some binomial identities

The finite Fourier transform of classical polynomials

Generalized Bernoulli numbers and a formula of Lucas

The Zagier modification of Bernoulli numbers and a polynomial extension. Part I

The Zagier polynomials. Part II: Arithmetic Properties of Coefficients

On polynomials connected to powers of Bessel functions

Recursion Rules for the Hypergeometric Zeta Functions

Identities for Generalized Euler Polynomials

A probabilistic interpretation of a sequence related to Narayana numbers

From sequences to polynomials and back, via operator orderings

Proof of a conjecture by Gazeau et al. using the Gould Hopper polynomials

Derivation of an integral of Boros and Moll via convolution of Student t-densities

Generalized Cramér-Rao relations for non-relativistic quantum systems

A probabilistic approach of sum rules for heat polynomials

Quantum potentials with q-Gaussian ground states

Probabilistic proofs of some relationships between the Bernoulli and Euler polynomials

The evaluation of a quartic integral via Schwinger, Schur and Bessel

H-theorems for the Brownian motion on the hyperbolic plane

Entropic upper bound on gravitational binding energy

Old and new results about relativistic Hermite polynomials

Spectral measure of the harmonic oscillator with α-stable noise

On the density of the sum of two independent Student t-random vectors

An extension of Wick's theorem

Some results on the denoising problem in the elliptically distributed context

On a conjecture about Dirac's delta representation using q-Gaussians

Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay

On minimum Fisher information distributions with restricted support and fixed variance

Geometry of the central limit theorem in the nonextensive case

A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces

Why is the detection of q-Gaussian behavior such a common occurrence?

A new look at q-exponential distributions via excess statistics

Some extensions of the uncertainty principle

Scale invariance and related properties of q-Gaussian systems

Central limit theorem and deformed exponentials

Some results concerning maximum Renyi entropy distributions

On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles

Estimation in a fluctuating medium and power-law distributions

Poincare's Observation and the Origin of Tsallis Generalized Canonical Distributions

Stochastic invertible mappings for Tsallis distributions

Correlated Gaussian Systems exhibiting additive Power-Law Entropies

Power-law random walks

A note on bounded entropies

Extension of the analytical modelling of resistive loaded thin-wire antennas to Gaussian derivatives excitations

Stability of families of probability distributions under reduction of the number of degrees of freedom

The p-sphere and the geometric substratum of power law probability distributions

In situ measurements of the complex permittivity of materials using reflection ellipsometry in the microwave band: theory (part I)