Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Aimino, Romain"'
We establish a theory for multivariate extreme value analysis of dynamical systems. Namely, we provide conditions adapted to the dynamical setting which enable the study of dependence between extreme values of the components of $\R^d$-valued observab
Externí odkaz:
http://arxiv.org/abs/2406.14807
In this paper we consider random dynamical systems formed by concatenating maps acting on the unit interval $[0,1]$ in an iid fashion. Considered as a stationary Markov process, the random dynamical system possesses a unique stationary measure $\nu$.
Externí odkaz:
http://arxiv.org/abs/2204.07814
We obtain large deviations estimates for systems with stretched exponential decay of correlations, which improve the ones obtained in \cite{AFLV11}. As a consequence we obtain better large deviations estimates for Viana maps and get large deviations
Externí odkaz:
http://arxiv.org/abs/1812.09742
Autor:
Aimino, Romain, Liverani, Carlangelo
Motivated by the random Lorentz gas, we study deterministic walks in random environment and show that (in simple, yet relevant, cases) they can be reduced to a class of random walks in random environment where the jump probability depends (weakly) on
Externí odkaz:
http://arxiv.org/abs/1804.11114
Publikováno v:
Ergodic Theory & Dynamical Systems; Nov2024, Vol. 44 Issue 11, p3041-3090, 50p
Autor:
Aimino, Romain
Dans cette thèse, nous nous intéressons aux propriétés statistiques des systèmes dynamiques aléatoires et non-autonomes. Dans le premier chapitre, consacré aux systèmes aléatoires, nous établissons un cadre fonctionnel abstrait, couvrant un
Externí odkaz:
http://www.theses.fr/2014TOUL0005/document
Autor:
Aimino, Romain, Liverani, Carlangelo
Publikováno v:
The Annals of Probability, 2020 Sep 01. 48(5), 2212-2257.
Externí odkaz:
https://www.jstor.org/stable/26966037
Autor:
Aimino, Romain, Rousseau, Jérôme
We prove a concentration inequality for sequential dynamical systems of the unit interval enjoying an exponential loss of memory in the BV norm, and we investigate several of its consequences. In particular, this covers compositions of $\beta$-transf
Externí odkaz:
http://arxiv.org/abs/1406.3213
In this note we show that the transfer operator of a Rauzy-Veech-Zorich renormalization map acting on a space of quasi-H\"older functions is quasicompact and derive certain statistical recurrence properties for this map and its associated Teichm\"ull
Externí odkaz:
http://arxiv.org/abs/1310.8422
In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic arguments with martingales, we prove annealed versions of a central limit t
Externí odkaz:
http://arxiv.org/abs/1310.4359