Geometry Topology And Dynamics In Negative Curvature

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Geometry Topology And Dynamics In Negative Curvature

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Author : C. S. Aravinda
language : en
Publisher: Cambridge University Press
Release Date : 2016-01-21

Geometry Topology And Dynamics In Negative Curvature written by C. S. Aravinda and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-21 with Mathematics categories.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

Ergodic Theory And Negative Curvature

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Author : Boris Hasselblatt
language : en
Publisher: Springer
Release Date : 2017-12-15

Ergodic Theory And Negative Curvature written by Boris Hasselblatt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-15 with Mathematics categories.

Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research. It offers original textbook-level material suitable for introductory or advanced courses as well as deep insights into the state of the art of the field, making it useful as a reference and for self-study. The first chapters introduce hyperbolic dynamics, ergodic theory and geodesic and horocycle flows, and include an English translation of Hadamard's original proof of the Stable-Manifold Theorem. An outline of the strategy, motivation and context behind the ergodicity proof is followed by a careful exposition of it (using the Hopf argument) and of the pertinent context of Teichmüller theory. Finally, some complementary lectures describe the deep connections between geodesic flows in negative curvature and Diophantine approximation.

Analysis And Geometry On Graphs And Manifolds

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Author : Matthias Keller
language : en
Publisher: Cambridge University Press
Release Date : 2020-08-20

Analysis And Geometry On Graphs And Manifolds written by Matthias Keller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-20 with Mathematics categories.

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

Lectures On Orthogonal Polynomials And Special Functions

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Author : Howard S. Cohl
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-15

Lectures On Orthogonal Polynomials And Special Functions written by Howard S. Cohl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-15 with Mathematics categories.

Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.

Partial Differential Equations Arising From Physics And Geometry

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Author : Mohamed Ben Ayed
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02

Partial Differential Equations Arising From Physics And Geometry written by Mohamed Ben Ayed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Mathematics categories.

Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

Equivariant Topology And Derived Algebra

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Author : Scott Balchin
language : en
Publisher: Cambridge University Press
Release Date : 2022

Equivariant Topology And Derived Algebra written by Scott Balchin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Mathematics categories.

A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.

Stochastic Stability Of Differential Equations In Abstract Spaces

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Author : Kai Liu
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02

Stochastic Stability Of Differential Equations In Abstract Spaces written by Kai Liu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Mathematics categories.

Presents a unified treatment of stochastic differential equations in abstract, mainly Hilbert, spaces.

Differential Geometry In The Large

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Author : Owen Dearricott
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-22

Differential Geometry In The Large written by Owen Dearricott and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-22 with Mathematics categories.

From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.

Topological Methods In Group Theory

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Author : N. Broaddus
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-06

Topological Methods In Group Theory written by N. Broaddus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-06 with Mathematics categories.

Details some of the most recent developments at the interface of topology and geometric group theory. Ideal for graduate students.

Geometric And Ergodic Aspects Of Group Actions

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Author : S. G. Dani
language : en
Publisher: Springer Nature
Release Date : 2020-01-13

Geometric And Ergodic Aspects Of Group Actions written by S. G. Dani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-13 with Mathematics categories.

This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018. Written by eminent scientists, and providing clear, detailed accounts of various topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of hyperbolic surfaces, the book is a valuable resource for researchers and advanced graduate students in mathematics.