Diophantine Approximation and Dirichlet Series, Queffelec Hervй, Queffelec Martine

Автор: Broise-Alamichel Anne, Parkkonen Jouni, Paulin Frйdйric
Название: Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees: Applications to Non-Archimedean Diophantine Approximation
ISBN: 3030183173 ISBN-13(EAN): 9783030183172
Издательство: Springer
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Introduction.- Negatively curved geometry.- Potentials, critical exponents and Gibbs cocycles.- Patterson-Sullivan and Bowen-Margulis measures with potential on CAT(-1) spaces.- Symbolic dynamics of geodesic flows on trees.- Random walks on weighted graphs of groups.- Skinning measures with potential on CAT(-1) spaces.- Explicit measure computations for simplicial trees and graphs of groups.- Rate of mixing for the geodesic flow.- Equidistribution of equidistant level sets to Gibbs measures.- Equidistribution of common perpendicular arcs.- Equidistribution and counting of common perpendiculars in quotient spaces.- Geometric applications.- Fields with discrete valuations.- Bruhat-Tits trees and modular groups.- Rational point equidistribution and counting in completed function fields.- Equidistribution and counting of quadratic irrational points in non-Archimedean local fields.- Counting and equidistribution of crossratios.- Counting and equidistribution of integral representations by quadratic norm forms.- A - A weak Gibbs measure is the unique equilibrium, by J. Buzzi.- List of Symbols.- Index.- Bibliography.

Автор: Queffйlec Hervй, Queffйlec Martine
Название: Diophantine Approximation and Dirichlet Series
ISBN: 9811593507 ISBN-13(EAN): 9789811593505
Издательство: Springer
Цена: 16769.00 р.
Наличие на складе: Поставка под заказ.

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