69 citations · 186 across the 20 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2014★ 3 cited
Finite cycle Gibbs measures on permutations of
Inés Armendáriz, Pablo A. Ferrari, Pablo Groisman +1
We consider Gibbs distributions on the set of permutations of associated to the Hamiltonian , where is a permutation and $V:\mathbb Z^d\…
math.PR2009★ 6 cited
Loss of memory of hidden Markov models and Lyapunov exponents
Pierre Collet, Florencia Leonardi
In this paper we prove that the asymptotic rate of exponential loss of memory of a finite state hidden Markov model is bounded above by the difference of the first two Lyapunov exp…
math.PR2007★ 2 cited
Random perturbations of stochastic chains with unbounded variable length memory
Pierre Collet, Antonio Galves, Florencia G. Leonardi
We consider binary infinite order stochastic chains perturbed by a random noise. This means that at each time step, the value assumed by the chain can be randomly and independently…