Averaging theorems for slow fast systems in $\mathbb{Z}$-extensions (discrete time)

Autor:	Phalempin, Maxence
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We study the averaging method for flows perturbed by a dynamical system preserving an infinite measure. Motivated by the case of perturbation by the collision dynamic on the finite horizon $\mathbb Z$-periodic Lorentz gas and in view of future development, we establish our results in a general context of perturbation by $\mathbb Z$-extension over chaotic probability preserving dynamical systems. As a by product, we prove limit theorems for non-stationary Birkhoff sums for such infinite measure preserving dynamical systems.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.11277 Zobrazit plný text záznamu View this record from Arxiv