J
2021
Fair measures for countable-to-one maps
RODRIGUES, Ana; Samuel Joshua ROTH and Zuzana ROTH
Basic information
Original name
Fair measures for countable-to-one maps
Authors
RODRIGUES, Ana (620 Portugal, guarantor); Samuel Joshua ROTH (840 United States of America, belonging to the institution) and Zuzana ROTH (703 Slovakia, belonging to the institution)
Edition
Stochastics and Dynamics, Singapore, World Scientific Publishing Co. Pte Ltd, 2021, 0219-4937
Other information
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Singapore
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 1.450
RIV identification code
RIV/47813059:19610/21:A0000100
Organization unit
Mathematical Institute in Opava
EID Scopus
2-s2.0-85089382592
Keywords in English
Entropy; Markov shift; interval map; fair measure; tame graph
Tags
International impact, Reviewed
In the original language
In this paper, we generalize the recently introduced concept of fair measure [M. Misiurewicz and A. Rodrigues, Counting preimages, Ergod. Theor. Dyn. Syst. 38 (2018) 1837-1856]. We study fair measures for Markov and mixing interval maps with countably many branches. We investigate them in terms of the recurrence properties of some underlying countable Markov shifts, both from the stochastic viewpoint and from the viewpoint of thermodynamical formalism. Finally, we move beyond the interval and look for fair measures for graph maps.
Displayed: 31/10/2025 22:36