Spatial Recurrence for Ergodic Fractal Measures
Dynamical Systems
2016-02-10 v1
Abstract
We discuss an invertible version of Furstenberg's `Ergodic CP Shift Systems'. We show that the explicit regularity of these dynamical systems with respect to magnification of measures, implies certain regularity with respect to translation of measures; We show that the translation action on measures is non-singular, and prove pointwise discrete and continuous ergodic theorems for the translation action.
Cite
@article{arxiv.1602.02894,
title = {Spatial Recurrence for Ergodic Fractal Measures},
author = {Nadav Dym},
journal= {arXiv preprint arXiv:1602.02894},
year = {2016}
}