Fair Measures for Countable-to-one Maps
Dynamical Systems
2021-04-07 v1
Abstract
In this paper we generalize the recently introduced concept of fair measure (M. Misiurewicz and A. Rodrigues, Counting preimages. Ergod. Th. & Dynam. Sys. 38 (2018), no. 5, 1837 -- 1856). We study transitive countable state Markov shift maps and extend our results to a particular class of interval maps, Markov and mixing interval maps. Finally, we move beyond the interval and look for fair measures for graph maps.
Cite
@article{arxiv.1810.06924,
title = {Fair Measures for Countable-to-one Maps},
author = {Ana Rodrigues and Samuel Roth and Zuzana Roth},
journal= {arXiv preprint arXiv:1810.06924},
year = {2021}
}
Comments
22 pages