74 citations · 78 across the 9 of their papers we have counts for
10 papers
Distributional results for the shortest distance between trajectories of different dynamics
Romain Aimino, Théophile Caby, Jorge Milhazes Freitas +1
We establish Extreme Value Distributions for the closest encounter between trajectories generated by different maps defined in the same reference phase space. For a class of strong…
Multivariate extreme values for dynamical systems
Romain Aimino, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +1
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 depende…
Stable laws for random dynamical systems
Romain Aimino, Matthew Nicol, Andrew Török
In this paper we consider random dynamical systems formed by concatenating maps acting on the unit interval in an iid fashion. Considered as a stationary Markov process, th…
Large deviations for dynamical systems with stretched exponential decay of correlations
Romain Aimino, Jorge Milhazes Freitas
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 bett…
Deterministic walks in random environment
Romain Aimino, Carlangelo Liverani
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 walk…
Concentration inequalities for sequential dynamical systems of the unit interval
Romain Aimino, Jérôme Rousseau
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 c…
Polynomial loss of memory for maps of the interval with a neutral fixed point
R. Aimino, H. Hu, M. Nicol +2
We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for th…
Recurrence statistics for the space of Interval Exchange maps and the Teichmüller flow on the space of translation surfaces
Romain Aimino, Matthew Nicol, Mike Todd
In this note we show that the transfer operator of a Rauzy-Veech-Zorich renormalization map acting on a space of quasi-Hölder functions is quasicompact and derive certain statistic…
Annealed and quenched limit theorems for random expanding dynamical systems
Romain Aimino, Matthew Nicol, Sandro Vaienti
In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic argum…
A note on the large deviations for piecewise expanding multidimensional maps
R. Aimino, S. Vaienti
We provide the large deviation principle for higher dimensional piecewise expanding maps and by using the functional approach of Hennion and Hervé, slightly modified.