Diffusive behavior of ergodic sums over rotations-Reference-Cited by-同舟云学术

Diffusive behavior of ergodic sums over rotations

Published:2019-03-27 Issue:02 Volume:19 Page:1950016
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Conze Jean-Pierre¹,Isola Stefano²,Le Borgne Stéphane¹

Affiliation:

1. CNRS, IRMAR – UMR 6625, University of Rennes, F-35000 Rennes, France

2. Scuola di Scienze e Tecnologie, Universitá di Camerino, via Madonna delle Carceri, 62032 Camerino, Italy

Abstract

For a rotation by an irrational [Formula: see text] on the circle and a BV function [Formula: see text], we study the variance of the ergodic sums [Formula: see text]. When [Formula: see text] is not of constant type, we construct sequences [Formula: see text] such that, at some scale, the ergodic sums [Formula: see text] satisfy an ASIP. Explicit non-degenerate examples are given with an application to the rectangular periodic billiard in the plane.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493719500163

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