Publications (41)
Some nonlinear functions of Bernoulli and Euler umbrae
C. Vignat
Correlated Gaussian systems exhibiting additive power-law entropies
C. Vignat, A. Plastino, A. R. Plastino
Old and New Results About Relativistic Hermite Polynomials
C. Vignat
Central limit theorem, deformed exponentials and superstatistics
C. Vignat, A. Plastino
Stochastic invertible mappings between power law and Gaussian probability distributions
C. Vignat, A. Plastino
A probabilistic interpretation of the Volkenborn integral
A. Bhandari, C. Vignat
Euler Polynomials and Identities for Non-Commutative Operators
V. De Angelis, C. Vignat
Estimation in a fluctuating medium and power-law distributions
C. Vignat, A. Plastino
Cariñena polynomials are Jacobi polynomials
C. Vignat, P. W. Lamberti
About sum rules for Gould-Hopper polynomials
O. Lévêque, C. Vignat
An entropic view of Pickands' theorem
J. -F. Bercher, C. Vignat
Poincaré's Observation and the Origin of Tsallis Generalized Canonical Distributions
C. Vignat, A. Plastino
Elliptical invariance of distributions of the power type: the stability and extensivity issues
C. Vignat, A. Plastino
Power-law random walks
C. Vignat, A. Plastino
Detecting q-Gaussian distributions and the normalization effect
C. Vignat, A. Plastino
On the density of the sum of two independent Student t-random vectors
C. Berg, C. Vignat
Superstatistics Based on the Microcanonical Ensemble
C. Vignat, A. Plastino, A. R. Plastino
Density operators that extremize Tsallis entropy and thermal stability effects
C. Vignat, A. Plastino
A probabilistic interpretation of a sequence related to Narayana polynomials
T. Amdeberhan, V. H. Moll, C. Vignat
Entropic Upper Bound on Gravitational Binding Energy
C. Vignat, A. Plastino, A. R. Plastino
Scale invariance and related properties of q-Gaussian systems
C. Vignat, A. Plastino
Geometric origin of probabilistic distributions in statistical mechanics
C. Vignat, A. Plastino
Generalized Bernoulli numbers and a formula of Lucas
V. H. Moll, C. Vignat
Form Sequences to Polynomials and Back, via Operator Orderings
T. Amdeberhan, V. De Angelis, A. Dixit +2
Geometry of the Central Limit Theorem in the Nonextensive Case
C. Vignat, A. Plastino
On a conjecture about Dirac's delta representation using q-exponentials
A. Chevreuil, A. Plastino, C. Vignat
A generalized Isserlis theorem for location mixtures of Gaussian random vectors
C. Vignat
The $p-$sphere and the geometric substratum of power law probability distributions
C. Vignat, A. Plastino
General Convolution Identities for Bernoulli and Euler Polynomials
K. Dilcher, C. Vignat
A symbolic approach to multiple zeta values at the negative integers
V. H. Moll, L. Jiu, C. Vignat
On polynomials connected to powers of Bessel functions
Victor H. Moll, C. Vignat
Proof of a conjecture by Gazeau et al. using the Gould Hopper polynomials
C. Vignat, O. Lévêque
An H-theorem for the Brownian motion on the hyperbolic plane
C. Vignat, P. W. Lamberti
Probabilistic Representation of Bernoulli, Euler and Carlitz Hermite Polynomials
C. Vignat
On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles
S. Zozor, C. Vignat
Identities for generalized Euler polynomials
Lin Jiu, Victor H. Moll, C. Vignat
Generalized Cramer-Rao relations for non-relativistic quantum systems
J. S. Dehesa, A. R. Plastino, P. Sanchez-Moreno +1
A probabilistic approach to some results by Nieto and Truax
C. Vignat
Quantum Potentials with q-Gaussian Ground States
C. Vignat, A. Plastino, A. R. Plastino +1
An extension of Wick's theorem
C. Vignat, S. Bhatnagar
On some results of Cufaro Petroni about Student t-processes
C. Berg, C. Vignat