RODRIGUES, Ana, Samuel Joshua ROTH and Zuzana ROTH. Fair measures for countable-to-one maps. 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. |
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@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.
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