[图书][B] Equidistribution and counting under equilibrium states in negative curvature and trees
A Broise-Alamichel, J Parkkonen, F Paulin - 2019 - Springer
2 Negatively Curved Geometry 2.1 Background on CAT (− 1) spaces................... 23 2.2
Generalised geodesic lines....................... 29 2.3 The unit tangent bundle........................ 31 2.4 …
Generalised geodesic lines....................... 29 2.3 The unit tangent bundle........................ 31 2.4 …
Equidistribution and counting under equilibrium states in negatively curved spaces and graphs of groups. Applications to non-Archimedean Diophantine …
A Broise-Alamichel, J Parkkonen, F Paulin - 2016 - hal.science
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 …
arcs in negatively curved spaces endowed with potentials, and we deduce, from the special …
The distribution of path lengths on directed weighted graphs
A Kiro, Y Smilansky, U Smilansky - Analysis as a Tool in Mathematical …, 2020 - Springer
We consider directed weighted graphs and define various families of path counting
functions. Our main results are explicit formulas for the main term of the asymptotic growth …
functions. Our main results are explicit formulas for the main term of the asymptotic growth …
[PDF][PDF] Counting geodesic arcs in a fixed conjugacy class on negatively curved surfaces with boundary
M Pollicott - Preprint, 2015 - warwick.ac.uk
Counting geodesic arcs in a fixed conjugacy class on negatively curved surfaces with
boundary Page 1 Counting geodesic arcs in a fixed conjugacy class on negatively curved …
boundary Page 1 Counting geodesic arcs in a fixed conjugacy class on negatively curved …
Statistics in conjugacy classes in free groups
In this paper, we establish statistical results for a convex co-compact action of a free group
on a CAT (-\, 1-1) space where we restrict to a non-trivial conjugacy class in the group. In …
on a CAT (-\, 1-1) space where we restrict to a non-trivial conjugacy class in the group. In …
Asymptotics in conjugacy classes for free groups
G Kenison - 2017 - wrap.warwick.ac.uk
In this thesis we consider asymptotic counts of words in free groups. In particular, we
establish results when we restrict the group elements to a non-trivial conjugacy class. We …
establish results when we restrict the group elements to a non-trivial conjugacy class. We …