Fair measures for countable-to-one maps

@article{54502,
   author = {Rodrigues, Ana and Roth, Samuel Joshua and Roth, Zuzana},
   article_location = {Singapore},
   article_number = {2},
   doi = {http://dx.doi.org/10.1142/S0219493721500088},
   keywords = {Entropy; Markov shift; interval map; fair measure; tame graph},
   language = {eng},
   issn = {0219-4937},
   journal = {Stochastics and Dynamics},
   title = {Fair measures for countable-to-one maps},
   url = {https://www.worldscientific.com/doi/abs/10.1142/S0219493721500088},
   volume = {21},
   year = {2021}
}

TY  - JOUR
ID  - 54502
AU  - Rodrigues, Ana - Roth, Samuel Joshua - Roth, Zuzana
PY  - 2021
TI  - Fair measures for countable-to-one maps
JF  - Stochastics and Dynamics
VL  - 21
IS  - 2
SP  - "2150008-1"-"2150008-29"
EP  - "2150008-1"-"2150008-29"
PB  - World Scientific Publishing Co. Pte Ltd
SN  - 02194937
KW  - Entropy
KW  - Markov shift
KW  - interval map
KW  - fair measure
KW  - tame graph
UR  - https://www.worldscientific.com/doi/abs/10.1142/S0219493721500088
N2  - 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.
ER  - 

RODRIGUES, Ana, Samuel Joshua ROTH and Zuzana ROTH. Fair measures for countable-to-one maps. \textit{Stochastics and Dynamics}. Singapore: World Scientific Publishing Co. Pte Ltd, 2021, vol.~21, No~2, p.~''2150008-1''-''2150008-29'', 29 pp. ISSN~0219-4937. Available from: https://dx.doi.org/10.1142/S0219493721500088.