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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access April 3, 2018

Intermittent quasistatic dynamical systems: weak convergence of fluctuations

  • Juho Leppänen EMAIL logo

Abstract

This paper is about statistical properties of quasistatic dynamical systems. These are a class of non-stationary systems that model situations where the dynamics change very slowly over time due to external influences. We focus on the case where the time-evolution is described by intermittent interval maps (Pomeau-Manneville maps) with time-dependent parameters. In a suitable range of parameters, we obtain a description of the statistical properties as a stochastic diffusion, by solving a well-posed martingale problem. The results extend those of a related recent study due to Dobbs and Stenlund, which concerned the case of quasistatic (uniformly) expanding systems.

MSC 2010: 37C60; 37D25; 37A10; 60G44; 60H10

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Received: 2017-11-13
Accepted: 2018-02-01
Published Online: 2018-04-03

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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