Orbits with historic behaviour, or non-existence of averages

Abstract

We say that an orbit {xn} of a dynamical system has historic behaviour if for some continuous function f on the state space the average does not exist (or converge). The problem is under which conditions such orbits can occur in a persistent way.

Identifiers

DOI

10.1088/0951-7715/21/3/t02

Citations and references