Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees

DOI10.1007/978-3-030-18315-8zbMath1442.37001arXiv1612.06717OpenAlexW2915046689MaRDI QIDQ5216811

Frédéric Paulin, Jouni Parkkonen, Anne Broise-Alamichel

Publication date: 20 February 2020

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06717

zbMATH Keywords

equidistributionGibbs measuresnon-Archimedean local fieldscounting problemsBruhat-Tits trees

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Non-Archimedean valued fields (12J25) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Dynamical systems over non-Archimedean local ground fields (37P20) Approximation in non-Archimedean valuations (11J61) Relations between ergodic theory and number theory (37A44)

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