Equidistribution and counting under equilibrium states in negatively curved spaces and graphs of groups. Applications to non-Archimedean Diophantine approximation

Abstract : In this book, we study equidistribution and counting problems concerning locally geodesic arcs in negatively curved spaces endowed with potentials, and we deduce, from the special case of tree quotients, various arithmetic applications to equidistribution and counting problems in non-Archimedean local fields.
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Submitted on : Wednesday, December 21, 2016 - 7:09:21 PM
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  • HAL Id : hal-01421211, version 1
  • ARXIV : 1612.06717

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Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin. Equidistribution and counting under equilibrium states in negatively curved spaces and graphs of groups. Applications to non-Archimedean Diophantine approximation. 2016. ⟨hal-01421211⟩

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