Second Order Ergodic Theorem for Self-Similar Tiling Systems
Dynamical Systems
2013-03-19 v3
Abstract
We consider infinite measure-preserving non-primitive self-similar tiling systems in Euclidean space . We establish the second-order ergodic theorem for such systems, with exponent equal to the Hausdorff dimension of a graph-directed self-similar set associated with the substitution rule.
Cite
@article{arxiv.1209.4073,
title = {Second Order Ergodic Theorem for Self-Similar Tiling Systems},
author = {Konstantin Medynets and Boris Solomyak},
journal= {arXiv preprint arXiv:1209.4073},
year = {2013}
}
Comments
Text improved. Typos Fixed