0
Your cart

Your cart is empty

Browse All Departments
  • All Departments
Price
  • R1,000 - R2,500 (1)
  • R2,500 - R5,000 (1)
  • -
Status
Brand

Showing 1 - 2 of 2 matches in All Departments

Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees - Applications to Non-Archimedean... Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees - Applications to Non-Archimedean Diophantine Approximation (Hardcover, 1st ed. 2019)
Anne Broise-Alamichel, Jouni Parkkonen, Frederic Paulin
R3,047 R2,098 Discovery Miles 20 980 Save R949 (31%) Ships in 12 - 19 working days

This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the authors extend the theory of Patterson-Sullivan, Bowen-Margulis and Oh-Shah (skinning) measures to CAT(-1) spaces with potentials. The work presents a proof for the equidistribution of equidistant hypersurfaces to Gibbs measures, and the equidistribution of common perpendicular arcs between, for instance, closed geodesics. Using tools from ergodic theory (including coding by topological Markov shifts, and an appendix by Buzzi that relates weak Gibbs measures and equilibrium states for them), the authors further prove the variational principle and rate of mixing for the geodesic flow on metric and simplicial trees-again without the need for any compactness or torsionfree assumptions. In a series of applications, using the Bruhat-Tits trees over non-Archimedean local fields, the authors subsequently prove further important results: the Mertens formula and the equidistribution of Farey fractions in function fields, the equidistribution of quadratic irrationals over function fields in their completions, and asymptotic counting results of the representations by quadratic norm forms. One of the book's main benefits is that the authors provide explicit error terms throughout. Given its scope, it will be of interest to graduate students and researchers in a wide range of fields, for instance ergodic theory, dynamical systems, geometric group theory, discrete subgroups of locally compact groups, and the arithmetic of function fields.

Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees - Applications to Non-Archimedean... Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees - Applications to Non-Archimedean Diophantine Approximation (Paperback, 1st ed. 2019)
Anne Broise-Alamichel, Jouni Parkkonen, Frederic Paulin
R4,140 Discovery Miles 41 400 Ships in 10 - 15 working days

This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the authors extend the theory of Patterson-Sullivan, Bowen-Margulis and Oh-Shah (skinning) measures to CAT(-1) spaces with potentials. The work presents a proof for the equidistribution of equidistant hypersurfaces to Gibbs measures, and the equidistribution of common perpendicular arcs between, for instance, closed geodesics. Using tools from ergodic theory (including coding by topological Markov shifts, and an appendix by Buzzi that relates weak Gibbs measures and equilibrium states for them), the authors further prove the variational principle and rate of mixing for the geodesic flow on metric and simplicial trees-again without the need for any compactness or torsionfree assumptions. In a series of applications, using the Bruhat-Tits trees over non-Archimedean local fields, the authors subsequently prove further important results: the Mertens formula and the equidistribution of Farey fractions in function fields, the equidistribution of quadratic irrationals over function fields in their completions, and asymptotic counting results of the representations by quadratic norm forms. One of the book's main benefits is that the authors provide explicit error terms throughout. Given its scope, it will be of interest to graduate students and researchers in a wide range of fields, for instance ergodic theory, dynamical systems, geometric group theory, discrete subgroups of locally compact groups, and the arithmetic of function fields.

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Unapologetically Ambitious - Take Risks…
Ben Horowitz, Shellye Archambeau Hardcover R757 R670 Discovery Miles 6 700
Formulating Ideas Uninterrupted
A P Oliveira, Angela Lee Hardcover R2,324 R1,863 Discovery Miles 18 630
Le Cordon Bleu Bakery School - 80…
Le Cordon Bleu Hardcover R930 Discovery Miles 9 300
Handbook of Urban Segregation
Sako Musterd Paperback R1,513 Discovery Miles 15 130
Uncertainty Advantage - Leadership…
Gary S. Lynch Hardcover R937 Discovery Miles 9 370
Disappearing Desert - The Growth of…
Janine Schipper Hardcover R737 Discovery Miles 7 370
The Easy Anti-Inflammatory Diet Cookbook…
Sienna Oakley Hardcover R603 Discovery Miles 6 030
The South African Guide To Gluten-Free…
Zorah Booley Samaai Paperback R380 R351 Discovery Miles 3 510
New Trends and Applications in…
Rebeca Vazquez, Francesca Bragheri, … Hardcover R1,318 R1,156 Discovery Miles 11 560
The Voyage of Kings - The Ring (First…
IronHorse Hardcover R1,477 Discovery Miles 14 770

 

Partners