Metastability of random maps: a resolvent approach

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 the resolvent approach to metastability, with the spectral analysis of transfer operators associated to the dynamics. The proposed framework is applied to study the metastability of one-dimensional dynamical systems generated by a map randomly perturbed by sub-Gaussian noise.

💡 Research Summary

The paper develops a unified framework for studying metastability in randomly perturbed one‑dimensional dynamical systems, specifically expanding interval maps subjected to sub‑Gaussian noise. The authors combine two major strands of the literature: (i) the resolvent approach to metastability for Markov processes, originally introduced in