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arXiv · 1810.06924

Fair Measures for Countable-to-one Maps

Ana Rodrigues·Samuel Roth·Zuzana Roth
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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.

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Ana Rodrigues, Samuel Roth, Zuzana Roth. 2018-10-16. Fair Measures for Countable-to-one Maps. https://arxiv.org/abs/1810.06924

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