191 citations · 891 across the 55 of their papers we have counts for
51 papers · 1 filter
Metastability of random maps: a resolvent approach
Diego Marcondes, Sandro Vaienti
We present a general framework to study the metastability of random perturbations of dynamical systems. It integrates techniques from the theory of Markov processes, in particular…
Extreme Value theory and Poisson statistics for discrete time samplings of stochastic differential equations
F. Flandoli, S. Galatolo, P. Giulietti +1
We investigate the distribution and multiple occurrences of extreme events stochastic processes constructed by sampling the solution of a Stochastic Differential Equation on $\math…
Compound Poisson statistics for dynamical systems via spectral perturbation
Jason Atnip, Gary Froyland, Cecilia González-Tokman +1
We consider random transformations where each map acts on a complete metrizable space . The randomness comes from an…
Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems
Jason Atnip, Gary Froyland, Cecilia Gonzalez-Tokman +1
We develop a quenched thermodynamic formalism for open random dynamical systems generated by finitely branched, piecewise-monotone mappings of the interval. The openness refers to…
Topological synchronisation or a simple attractor?
Theophile Caby, Michele Gianfelice, Benoit Saussol +1
A few recent papers introduced the concept of topological synchronisation. We refer in particular to \cite{TS}, where the theory was illustrated by means of a skew product system,…
Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory
Jason Atnip, Gary Froyland, Cecilia Gonzalez-Tokman +1
We consider quasi-compact linear operator cocycles driven by an invertible ergodic pr…