Equidistribution and counting under equilibrium states in negative   curvature and trees. Applications to non-Archimedean Diophantine   approximation
  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. 
Anne Broise-Alamichel, Jouni Parkkonen, Fr\'ed\'eric Paulin
math.DS math.NT