Display Abstract

Title Some invariant strongly mixing measures for operators

Name Alfred Peris
Country Spain
Email aperis@mat.upv.es
Co-Author(s) M. Murillo-Arcila
Submit Time 2014-02-18 18:11:50
Session
Special Session 7: Topological and combinatorial dynamics
Contents
Some strongly mixing invariant measures with full support are constructed for operators on metrizable and complete topological vector spaces which satisfy the Frequent Hypercyclicity Criterion, a sufficient condition for the existence of points x so that the hitting time set N(x,U) has positive lower density for any non-empty open set U. For unilateral backward shifts on sequence spaces, a slight modification shows that one can even obtain exact invariant measures.