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Publications Influence

Non-linear generalization of the sl(2) algebra

- E. Curado, M. Rego-Monteiro
- Physics, Mathematics
- 29 July 2002

We present a generalization of the sl(2) algebra where the algebraic relations are constructed with the help of a general function of one of the generators. When this function is linear this algebra… Expand

7 2- PDF

Symmetric generalized binomial distributions

- H. Bergeron, E. Curado, J. Gazeau, L. M. Rodrigues
- Mathematics, Physics
- 22 August 2013

In two recent articles, we have examined a generalization of the binomial distribution associated with a sequence of positive numbers, involving asymmetric expressions of probabilities that break the… Expand

12 1- PDF

Position-dependent mass quantum Hamiltonians: General approach and duality

- M. Rego-Monteiro, L. M. Rodrigues, E. Curado
- Physics, Mathematics
- 25 January 2016

We analyze a general family of position-dependent mass quantum Hamiltonians which are not self-adjoint and include, as particular cases, some Hamiltonians obtained in phenomenological approaches to… Expand

16 1- PDF

Information theory link between MaxEnt and a key thermodynamic relation

- E. Curado, A. Plastino
- Mathematics
- 1 December 2007

We focus attention on the particular thermodynamic relation dU=TdS+δW. Using information theory concepts we show that, for a reversible process in which intensive variables change, microscopic… Expand

10

q-Moments remove the degeneracy associated with the inversion of the q-Fourier transform

- M. Jauregui, C. Tsallis, E. Curado
- Mathematics, Physics
- 12 August 2011

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 q > 1. It has also… Expand

20- PDF

Surrejoinder to the Comment on: "Thermostatistics of Overdamped Motion of Interacting Particles" by Y. Levin and R. Pakter

- J. S. Andrade, G. D. Silva, A. Moreira, F. D. Nobre, E. Curado
- Philosophy, Physics
- 16 June 2011

In their Rejoinder [arXiv:1105.1316v1], Levin and Pakter repeat some of the points raised in their previous Comment [arXiv:1104.0697v1] (already refuted in our first Reply [arXiv:1104.5036v1]), and… Expand

2- PDF

Entropies of deformed binomial distributions

- H. Bergeron, E. Curado, J. Gazeau, L. M. Rodrigues
- Mathematics, Physics
- 1 December 2014

Asymptotic behavior (with respect to the number of trials) of symmetric generalizations of binomial distributions and their related entropies are studied through three examples. The first one derives… Expand

A note about combinatorial sequences and Incomplete Gamma function

- H. Bergeron, E. Curado, J. Gazeau, L. M. Rodrigues
- Mathematics
- 10 September 2013

In this short note we present a set of interesting and useful properties of a one-parameter family of sequences including factorial and subfactorial, and their relations to the Gamma function and the… Expand

3- PDF

Noncommutative reading of the complex plane through Delone sequences

- S. T. Ali, L. Balkov'a, +4 authors K. Sekimoto
- Mathematics, Physics
- 26 November 2008

The Berezin–Klauder–Toeplitz (“anti-Wick”) quantization or “noncommutative reading” of the complex plane, viewed as the phase space of a particle moving on the line, is derived from the resolution of… Expand

9- PDF