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...
Routes and Realms - The Power of Place…
Zayde Antrim Hardcover R2,740 Discovery Miles 27 400
The Globalization of Space - Foucault…
John Miller Hardcover R4,624 Discovery Miles 46 240
The Firstwriter.Com Writers' Handbook…
J. Paul Dyson Paperback R467 Discovery Miles 4 670
Annihilation Songs - Three Shakespeare…
Jason De Boer Hardcover R559 Discovery Miles 5 590
Iowa
Federal Writers' Project Hardcover R2,389 R1,950 Discovery Miles 19 500
Lee vs Grant, Great Battles of the Civil…
Ruth Ashby Paperback R538 Discovery Miles 5 380
Basics of Drawing - The Ultimate Guide…
Leonardo Pereznieto Paperback R529 R428 Discovery Miles 4 280
Two Nations, One Land - The…
Baby Professor Hardcover R748 R659 Discovery Miles 6 590
Cute Kawaii Coloring Kit - Color…
Editors of Chartwell Books Kit R489 R447 Discovery Miles 4 470
Imaging in Movement Disorders: Imaging…
Marios Politis Hardcover R4,804 Discovery Miles 48 040

 

Partners