14 citations · 40 across the 13 of their papers we have counts for
5 papers · 1 filter
Self-Switching Markov Chains: emerging dominance phenomena
S. Gallo, G. Iacobelli, G. Ost +1
In many dynamical systems in nature, the law of the dynamics changes along with the temporal evolution of the system. These changes are often associated with the occurrence of cert…
Characterization of the stability of chains associated with -measures
Christophe Gallesco, Sandro Gallo, Daniel Yasumasa Takahashi
In this paper we introduce a notion of asymptotic stability of a probability kernel, which we call dynamic uniqueness. We say that a kernel exhibits dynamic uniqueness if all the s…
Explicit estimates in the Bramson-Kalikow model
Christophe Gallesco, Sandro Gallo, Daniel Yasumasa Takahashi
The aim of the present article is to explicitly compute parameters for which the Bramson-Kalikow model exhibits phase-transition. The main ingredient of the proof is a simple new c…
Attractive regular stochastic chains: perfect simulation and phase transition
Sandro Gallo, Daniel Yasumasa Takahashi
We prove that uniqueness of the stationary chain, or equivalently, of the -measure, compatible with an attractive regular probability kernel is equivalent to either one of the f…
Markov Approximations of chains of infinite order in the -metric
Sandro Gallo, Matthieu Lerasle, Daniel Yasumasa Takahashi
We derive explicit upper bounds for the -distance between a chain of infinite order and its canonical -steps Markov approximation. Our proof is entirely constructive an…