813 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centro Brasileiro de Pesquisas FísicasBR57 papers
- Santa Fe InstituteUS33 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR24 papers
- Universidade Federal FluminenseBR21 papers
- Universidade de São PauloBR20 papers
- Instituto de Física de São CarlosBR11 papers
- Universidade Federal de ViçosaBR11 papers
- Universidade Federal do Rio Grande do SulBR11 papers
- Consejo Nacional de Investigaciones Científicas y TécnicasAR8 papers
- Conselho Nacional de Desenvolvimento Científico e TecnológicoBR8 papers
- Universidade Estadual de MaringáBR8 papers
- Complexity Science HubAT7 papers
7 papers · 1 filter
Hermite-Gaussian model for quantum states
Marcelo Losada, Ignacio S. Gomez, Federico Holik
In order to characterize quantum states within the context of information geometry, we propose a generalization of the Gaussian model, which we called the Hermite-Gaussian model. W…
Symmetric generalized binomial distributions
H. Bergeron, E. M. F. Curado, J. P. Gazeau +1
In two recent articles we have examined a generalization of the binomial distribution associated with a sequence of positive numbers, involving asymmetric expressions of probabilit…
Generating functions for generalized binomial distributions
H. Bergeron, E. M. F. Curado, J. P. Gazeau +1
In a recent article a generalization of the binomial distribution associated with a sequence of positive numbers was examined. The analysis of the nonnegativeness of the formal exp…
q-Moments remove the degeneracy associated with the inversion of the q-Fourier transform
M. Jauregui, C. Tsallis, E. M. F. Curado
It was recently proven [Hilhorst, JSTAT, P10023 (2010)] that the q-generalization of the Fourier transform is not invertible in the full space of probability density functions for…
On a generalization of the binomial distribution and its Poisson-like limit
E. M. F. Curado, J. P. Gazeau, Ligia M. C. S. Rodrigues
We examine a generalization of the binomial distribution associated with a strictly increasing sequence of numbers and we prove its Poisson-like limit. Such generalizations might b…
q-Generalization of the inverse Fourier transform
M. Jauregui, C. Tsallis
A wide class of physical distributions appears to follow the q-Gaussian form, which plays the role of attractor according to a Central Limit Theorem generalized in the presence of…
New representations of pi and Dirac delta using the nonextensive-statistical-mechanics q-exponential function
M. Jauregui, C. Tsallis
We present a generalization of the representation in plane waves of Dirac delta, , namely $δ(x)=(2-q)/(2π)\int_{-\infty}^\infty e_q^{…