Equidistribution and counting under equilibrium states in negative curvature and trees. Applications to non-Archimedean Diophantine approximation
arXiv:1612.06717
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.
With an appendix by Jérôme Buzzi. The title has changed slightly from the first version. To appear in Progress in Mathematics