31 citations · 35 across the 2 of their papers we have counts for
2 papers
nlin.CD2018★ 4 cited
Equivalence between nonlinear dynamical systems and urn processes
Léon Brenig, Iram Gleria, Tarcísio M. Rocha Filho +2
An equivalence is shown between a large class of deterministic dynamical systems and a class of stochastic processes, the balanced urn processes. These dynamical systems are govern…
cond-mat.stat-mech2008★ 31 cited
Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions
Annibal Figueiredo, Tarcisio Marciano da Rocha Filho, Marco Antonio Amato
In this letter we discuss the validity of the ergodicity hypothesis in theories of violent relaxation in long-range interacting systems. We base our reasoning on the Hamiltonian Me…