C. Vignat

发表

A characterization of the multivariate distributions maximizing Renyi entropy

A. Hero, J. Costa, C. Vignat, 2002, Proceedings IEEE International Symposium on Information Theory,.

Central limit theorem and deformed exponentials

A. Plastino, C. Vignat, 2007 .

On Solutions to Multivariate Maximum α-Entropy Problems

Jose A. Costa, A. Hero, C. Vignat, 2003 .

Poincaré's observation and the origin of Tsallis generalized canonical distributions

A. Plastino, C. Vignat, 2005, cond-mat/0509689.

Adaptive training of feedback neural networks for non-linear filtering

L. Personnaz, O. Nerrand, C. Vignat, 1992, Neural Networks for Signal Processing II Proceedings of the 1992 IEEE Workshop.

Matrix Fisher inequalities for non-invertible linear systems

Christophe Vignat, C. Vignat, J. Bercher, 2002, Proceedings IEEE International Symposium on Information Theory,.

Microwave measurements of the complex permittivity of construction materials using Fresnel reflection coefficients and reflection ellipsometry

C. Vignat, E. Rolland, F. Sagnard, 2001, IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229).

Some results concerning maximum Renyi entropy distributions

C. Vignat, O. Johnson, 2005, math/0507400.

Spectral measure of the harmonic oscillator with α-stable noise.

C. Vignat, S. Zozor, 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

A new look at q-exponential distributions via excess statistics

Jean-François Bercher, Christophe Vignat, C. Vignat, 2008 .

Some extensions of the uncertainty principle

Steeve Zozor, Christophe Vignat, Mariela Portesi, 2007, 0709.3011.

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

S. Zozor, C. Vignat, C. Vignat, 2007 .

A symbolic approach to some identities for Bernoulli-Barnes polynomials

Christophe Vignat, Victor H. Moll, Lin Jiu, 2015, 1504.01318.

From sequences to polynomials and back, via operator orderings

C. Vignat, V. D. Angelis, V. Moll, 2013, 1303.6587.

About Closedness by Convolution of the Tsallis Maximizers

Alfred O. Hero, Christophe Vignat, A. Hero, 2004 .

2 2 Ju n 20 05 Linearization coefficients of Bessel polynomials

C. Berg, C. Vignat, 2008 .

Dirichlet Series Under Standard Convolutions: Variations on Ramanujan's Identity for Odd Zeta Values

C. Vignat, Parth Chavan, Sarth Chavan, 2021, 2107.06457.

General Convolution Identities for Bernoulli and Euler Polynomials

C. Vignat, K. Dilcher, 2015, 1507.05356.

Recursion rules for the hypergeometric zeta function

C. Vignat, V. Moll, Lin Jiu, 2014 .

Base-$b$ analogues of classic combinatorial objects

C. Vignat, T. Wakhare, 2016, 1607.02564.

ON FISHER INFORMATION INEQUALITIES AND SCORE FUNCTIONS IN NON-INVERTIBLE LINEAR SYSTEMS

C. Vignat, And J. F. Bercher, 2003 .

On some results of Cufaro Petroni about Student t-processes

C. Berg, C. Vignat, 2008, 0803.3198.

Multiple zeta values for classical special functions

C. Vignat, T. Wakhare, 2020 .

A symbolic approach to the poly-Bernoulli numbers.

C. Vignat, T. Wakhare, 2019, 1903.05270.

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

C. Vignat, K. Dilcher, 2017, Research in number theory.

Old and new results about relativistic Hermite polynomials

C. Vignat, 2009, 0911.5513.

Taylor coefficients of the Jacobi θ3(q) function

C. Vignat, T. Wakhare, 2020 .

A triple integral analog of a multiple zeta value

C. Vignat, A. Straub, V. Moll, 2020, International Journal of Number Theory.

Power-law random walks.

A. Plastino, C. Vignat, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

Power-law random walks.

A. Plastino, C. Vignat, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

Physical symmetries and Fisher's information measure

A. Plastino, C. Vignat, F. Pennini, 2009 .

Scale invariance and related properties of q-Gaussian systems

A. Plastino, C. Vignat, 2006, cond-mat/0612393.

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

A. Plastino, C. Vignat, 2005, cond-mat/0505161.

Geometric origin of probabilistic distributions in statistical mechanics

A. Plastino, C. Vignat, 2005, cond-mat/0503337.

An Operational Calculus Generalization of Ramanujan's Master Theorem

C. Vignat, Z. Bradshaw, 2022, 2209.03399.

Linearization coefficients of Bessel polynomials

C. Berg, C. Vignat, 2005, math/0506458.

Estimation in a fluctuating medium and power-law distributions

A. Plastino, C. Vignat, Angelo Plastino, 2006, cond-mat/0606162.

VARIATIONS AND EXTENSIONS OF RAMANUJAN ’ S IDENTITY 3 Note : Here we assume that the Dirichlet series is convergent for N > 1

C. Vignat, Parth Chavan, Sarth Chavan, 2021 .

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

C. Vignat, S. Zozor, 2006, math/0605510.

A note on bounded entropies

C. Vignat, P. Amblard, 2005, cond-mat/0509733.

Evaluation of multivariate integrals based on a duality identity for the Stieltjes transform

C. Vignat, Sarth Chavan, 2021, 2105.11771.

Poincaré's observation and the origin of Tsallis generalized canonical distributions

A. Plastino, C. Vignat, 2005, cond-mat/0509689.

A generalized Isserlis theorem for location mixtures of Gaussian random vectors

C. Vignat, 2011, 1107.2309.

On Binomial Identities in Arbitrary Bases Lin Jiu Research Institute for Symbolic Computation

C. Vignat, J. Kepler, 2016 .

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

A. Plastino, C. Vignat, A. Plastino, 2015 .

Nonconventional limits of random sequences related to partitions of integers

C. Vignat, J. Stoyanov, 2019, 1901.04029.

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

C. Vignat, V. Moll, A. Dixit, 2013, The Ramanujan Journal.

A Continuous Analogue of Lattice Path Enumeration: Part II

C. Vignat, T. Wakhare, 2016, 1606.01986.

Lower bounds on Information Divergence pdf

Christophe Vignat, Peter Harremoës, C. Vignat, 2011, ArXiv.

Blind source separation of convolutive mixtures by maximization of fourth-order cumulants: the non i.i.d. case

C. Jutten, G. d'Urso, C. Vignat, 1998, Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No.98CH36284).

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

P. W. Lamberti, C. Vignat, 2009 .

A unified framework for gradient algorithms used for filter adaptation and neural network training

Odile Macchi, Pierre Roussel-Ragot, Gérard Dreyfus, 1992, Int. J. Circuit Theory Appl..

A probabilistic approach to some results by Nieto and Truax

C. Vignat, 2010, 1005.2161.

Some Results on the Denoising Problem in the Elliptically Distributed Context

Steeve Zozor, Christophe Vignat, C. Vignat, 2010, IEEE Transactions on Signal Processing.

On the MAP estimation in the context of elliptical distributions

Steeve Zozor, Christophe Vignat, C. Vignat, 2009, 2009 17th European Signal Processing Conference.

Detecting q-Gaussian distributions and the normalization effect

A. Plastino, C. Vignat, 2007, 0708.2973.

un 2 00 7 Central limit theorem , deformed exponentials and superstatistics

A. Plastino, C. Vignat, 2022 .

Non-Conventional Limits of Random Sequences Related to Partitions of Integers

C. Vignat, J. Stoyanov, Jordan Stoyanov, 2019, 1901.04029.

Linearization Coefficients of Bessel Polynomials and Properties of Student t-Distributions

C. Berg, C. Vignat, 2008 .

Generalized Cramér-Rao relations for non-relativistic quantum systems

P. Sánchez-Moreno, Jesús Sánchez-Dehesa, Angel Plastino, 2010, Appl. Math. Lett..

A symbolic approach to multiple zeta values at negative integers

Christophe Vignat, Victor H. Moll, Lin Jiu, 2015, J. Symb. Comput..

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

C. Vignat, O. Lévêque, 2012, 1203.5418.

Entropic upper bound on gravitational binding energy

C. Vignat, A. R. Plastino, A. Plastino, 2010, 1011.6367.

Geometric aspects of the non‐extensive statistical theory

C. Vignat, J. Bercher, 2009 .

On polynomials connected to powers of Bessel functions

Victor H. Moll, C. Vignat, C. Vignat, 2013, 1306.1224.

A. Plastino, C. Vignat, 2005, cond-mat/0512511.

Stochastic invertible mappings between power law and Gaussian probability distributions

A. Plastino, C. Vignat, 2005, cond-mat/0504709.

A Nash Equilibrium related to the Poisson Channel

Peter Harremoës, C. Vignat, C. Vignat, 2003, Commun. Inf. Syst..

AN ENTROPY POWER INEQUALITY FOR THE BINOMIAL FAMILY

Christophe Vignat, Peter Harremoës, C. Vignat, 2003 .

Cari\~{n}ena polynomials are Jacobi polynomials

P. W. Lamberti, C. Vignat, 2009, 0902.0451.

Some nonlinear functions of Bernoulli and Euler umbrae

C. Vignat, 2011, 1101.0770.

Asymptotics and exact formulas for Zagier polynomials

C. Vignat, M. Glasser, V. Moll, 2015, 1506.07612.

The Zagier polynomials. Part III: Asymptotics and Exact formulas

C. Vignat, M. Glasser, V. Moll, 2015 .

Probabilistic proofs of some relationships between the Bernoulli and Euler polynomials

C. Vignat, H. Srivastava, 2012 .

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

C. Vignat, A. Kuznetsov, V. Moll, 2016 .

On Solutions to Multivariate Maximum alpha-Entropy Problems

Alfred O. Hero, Jose Costa, Christophe Vignat, 2003, EMMCVPR.

Connection Coefficients for Higher-order Bernoulli and Euler Polynomials: A Random Walk Approach

C. Vignat, Lin Jiu, 2018, 1809.04636.

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

C. Vignat, K. Dilcher, 2017, Research in number theory.

Euler polynomials and identities for non-commutative operators

C. Vignat, V. Angelis, 2015, 1508.04844.

Modified Nörlund polynomials

C. Vignat, V. Moll, A. Dixit, 2015, The Ramanujan Journal.

Modified N\"orlund polynomials

C. Vignat, V. Moll, A. Dixit, 2014, 1411.0903.

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

C. Vignat, V. Moll, A. Dixit, 2012, 1209.4110.

A probabilistic approach of sum rules for heat polynomials

C. Vignat, O. Lévêque, 2012 .

Probabilistic Representation of Bernoulli, Euler and Carlitz Hermite Polynomials

C. Vignat, 2010, 1009.2396.

Modified Nörlund polynomials

C. Vignat, V. Moll, A. Dixit, 2017 .

THE ZAGIER MODIFICATION OF BERNOULLI NUMBERS

C. Vignat, V. Moll, A. Dixit, 2012 .

Simple proofs and expressions for the restricted partition function and its polynomial part

C. Vignat, S. Robins, 2018, 1802.07310.

Estimating the entropy of a signal with applications

Jean-François Bercher, Christophe Vignat, C. Vignat, 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

Analysis of signals in the Fisher–Shannon information plane

Jean-François Bercher, Christophe Vignat, C. Vignat, 2003 .

Revisiting the denoising problem in the context of elliptical distributions

Steeve Zozor, Christophe Vignat, C. Vignat, 2008, 2008 16th European Signal Processing Conference.

Scale Invariant Scattering in 2D

C. Vignat, T. Curtright, 2023, 2303.14861.

THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS

C. Vignat, V. Moll, Lin Jiu, 2014, Journal of the Australian Mathematical Society.

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

Christophe Vignat, A. R. Plastino, C. Vignat, 2009 .

Quantum potentials with q-Gaussian ground states

J. S. Dehesa, A. Plastino, C. Vignat, 2010, 1011.3459.