31 citations · 69 across the 16 of their papers we have counts for
18 papers
Reduction and classification of higher-order Markov chains
Christophe Gallesco, Caio Teodore Genovese Huss Oliveira, Daniel Yasumasa Takahashi
We study the class structure of finite-alphabet Markov chains with arbitrary memory length. To capture the structural constraints induced by prohibited transitions, we introduce th…
Uniqueness of stationary compatible probability measures for chains of infinite order with forbidden transitions
Christophe Gallesco, Sandro Gallo, Daniel Yasumasa Takahashi
In this paper, we consider chains of infinite order on countable state spaces with prohibited transitions. We give a set of sufficient conditions on the structure of the probabilit…
Convergence and Stability Analysis of the Extended Infinite Horizon Model Predictive Control
Luz A. Alvarez, Diego F. de Bernardini, Christophe Gallesco
Model Predictive Control (MPC) is a popular technology to operate industrial systems. It refers to a class of control algorithms that use an explicit model of the system to obtain…
Mixing rates for potentials of non-summable variations
Christophe Gallesco, Daniel Y. Takahashi
Mixing rates and decay of correlations for dynamics defined by potentials with summable variations are well understood, but little is known for non-summable variations. In this pap…
An improved decoupling inequality for random interlacements
Diego F. de Bernardini, Christophe Gallesco, Serguei Popov
In this paper we obtain a decoupling feature of the random interlacements process , at level , . More precisely, we show that the tr…
On uniform closeness of local times of Markov chains and i.i.d. sequences
Diego F. de Bernardini, Christophe Gallesco, Serguei Popov
In this paper we consider the field of local times of a discrete-time Markov chain on a general state space, and obtain uniform (in time) upper bounds on the total variation distan…