3 papers
math.DS2026
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…
math.DS2025
Extreme Value Theory with Spectral Techniques: application to a simple attractor
Jason Atnip, Nicolai Haydn, Sandro Vaienti
We give a brief account of application of extreme value theory in dynamical systems by using perturbation techniques associated to the transfer operator. We will apply it to the ba…
math.DS2024
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…