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…
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…
Constrained information transmission on Erdös-Rényi graphs
Francis Comets, Christophe Gallesco, Serguei Popov +1
We model the transmission of information of a message on the Erdös-Rény random graph with parameters and limited resources. The vertices of the graph represent servers that…
On large deviations for the cover time of two-dimensional torus
Francis Comets, Christophe Gallesco, Serguei Popov +1
Let be the cover time of two-dimensional discrete torus . We prove that $\mathbb{P}[\mathcal{T}_n\leq \frac{4}πγn^2\ln^2…
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…
Random walks with unbounded jumps among random conductances I: Uniform quenched CLT
Christophe Gallesco, Serguei Popov
We study a one-dimensional random walk among random conductances, with unbounded jumps. Assuming the ergodicity of the collection of conductances and a few other technical conditio…
Localization for a random walk in slowly decreasing random potential
Christophe Gallesco, Serguei Popov, Gunter M. Schütz
We consider a continuous time random walk in random environment on such that its potential can be approximated by the function given by $V(x)=\sig W(x) -…
Random walks with unbounded jumps among random conductances II: Conditional quenched CLT
Christophe Gallesco, Serguei Popov
We study a one-dimensional random walk among random conductances, with unbounded jumps. Assuming the ergodicity of the collection of conductances and a few other technical conditio…
A conditional quenched CLT for random walks among random conductances on
Christophe Gallesco, Nina Gantert, Serguei Popov +1
Consider a random walk among random conductances on with . We study the quenched limit law under the usual diffusive scaling of the random walk conditioned…
Conditional and uniform quenched CLTs for one-dimensional random walks among random conductances
Christophe Gallesco, Serguei Popov
We study a one-dimensional random walk among random conductances, with unbounded jumps. Assuming the ergodicity of the collection of conductances and a few other technical conditio…
Spiders in random environment
Christophe Gallesco, Sebastian Muller, Serguei Popov +1
A spider consists of several, say , particles. Particles can jump independently according to a random walk if the movement does not violate some given restriction rules. If the…
A note on spider walks
Christophe Gallesco, Sebastian Müller, Serguei Popov
Spider walks are systems of interacting particles. The particles move independently as long as their movement do not violate some given rules describing the relative position of th…
On the moments of the meeting time of independent random walks in random environment
Christophe Gallesco
We consider, in the continuous time version, independent random walks on in random environment in the Sinai's regime. Let $T_\gam$ be the first meeting time of o…