Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Gallesco, Christophe"'
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 the control action by minimizing a cost function. At each time step, M
Externí odkaz:
http://arxiv.org/abs/2411.14370
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 paper, we exhibit upper bounds for these quantities in the case of dynami
Externí odkaz:
http://arxiv.org/abs/2006.06824
In this paper we obtain a decoupling feature of the random interlacements process $\mathcal{I}^u \subset \mathbb{Z}^d$, at level $u$, $d\geq 3$. More precisely, we show that the trace of the random interlacements process on two disjoint finite sets,
Externí odkaz:
http://arxiv.org/abs/1809.05594
Publikováno v:
Stochastic Processes and their Applications 128 (2018) 3221-3252
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 distance between this field and the one of a sequence of $n$ i.i.d. random v
Externí odkaz:
http://arxiv.org/abs/1610.02532
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 stochastic chains starting from a fixed past coincide on the future tai
Externí odkaz:
http://arxiv.org/abs/1410.8241
We model the transmission of information of a message on the Erd\"os-R\'eny random graph with parameters $(n,p)$ and limited resources. The vertices of the graph represent servers that may broadcast a message at random. Each server has a random emiss
Externí odkaz:
http://arxiv.org/abs/1312.3897
Publikováno v:
Electronic Journal of Probability, Vol. 18, Article 96, pp.1-18 (2013)
Let $\mathcal{T}_n$ be the cover time of two-dimensional discrete torus $\mathbb{Z}^2_n=\mathbb{Z}^2/n\mathbb{Z}^2$. We prove that $\mathbb{P}[\mathcal{T}_n\leq \frac{4}{\pi}\gamma n^2\ln^2 n]=\exp(-n^{2(1-\sqrt{\gamma})+o(1)})$ for $\gamma\in (0,1)$
Externí odkaz:
http://arxiv.org/abs/1306.5266
Publikováno v:
Nonlinearity, v. 27, 2281-2296, 2014
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 criterion for non-uniqueness of $g$-measures. We show that the existenc
Externí odkaz:
http://arxiv.org/abs/1302.1267
Publikováno v:
Journal of Statistical Physics, January 2013, Volume 150, Issue 2, pp 285-298
We consider a continuous time random walk $X$ in random environment on $\Z^+$ such that its potential can be approximated by the function $V: \R^+\to \R$ given by $V(x)=\sig W(x) -\frac{b}{1-\alf}x^{1-\alf}$ where $\sig W$ a Brownian motion with diff
Externí odkaz:
http://arxiv.org/abs/1210.1972
Autor:
Gallesco, Christophe, Popov, Serguei
Publikováno v:
Electronic Journal of Probability, vol. 17, article 85, p. 1-22, 2012
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 conditions (uniform ellipticity and polynomial bounds on the tails of the jump
Externí odkaz:
http://arxiv.org/abs/1210.0951