Ergodic Theory And Topological Dynamics Of Group Actions On Homogeneous Spaces

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Ergodic Theory And Topological Dynamics Of Group Actions On Homogeneous Spaces

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Author : M. Bachir Bekka
language : en
Publisher: Cambridge University Press
Release Date : 2000-05-11

Ergodic Theory And Topological Dynamics Of Group Actions On Homogeneous Spaces written by M. Bachir Bekka 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 2000-05-11 with Mathematics categories.

This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1

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Author : Raf Cluckers
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22

Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1 written by Raf Cluckers 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 2011-09-22 with Mathematics categories.

Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.

Independence Friendly Logic

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Author : Allen L. Mann
language : en
Publisher: Cambridge University Press
Release Date : 2011-05-05

Independence Friendly Logic written by Allen L. Mann 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 2011-05-05 with Mathematics categories.

Bringing together over twenty years of research, this book gives a complete overview of independence-friendly logic, an exciting logical formalism at the interface of logic and game theory. It is suitable for graduate students and advanced undergraduates who have taken a course on first-order logic.

Random Fields On The Sphere

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Author : Domenico Marinucci
language : en
Publisher: Cambridge University Press
Release Date : 2011-08-25

Random Fields On The Sphere written by Domenico Marinucci 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 2011-08-25 with Mathematics categories.

The authors present a comprehensive analysis of isotropic spherical random fields, with a view towards applications in cosmology. Any mathematician or statistician interested in these applications, especially the booming area of cosmic microwave background (CMB) radiation data analysis, will find the mathematical foundation they need in this book.

Elements Of Topological Dynamics

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Author : J. de Vries
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Elements Of Topological Dynamics written by J. de Vries and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.

How Groups Grow

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Author : Avinoam Mann
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-15

How Groups Grow written by Avinoam Mann 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 2011-12-15 with Mathematics categories.

This book introduces the subject of the growth of groups from scratch, starting with basic definitions and culminating in the seminal results of Gromov and Grigorchuk and more. It is valuable reading for researchers from graduate students up who want to be acquainted with contemporary group theory.

Geometric Analysis Of Hyperbolic Differential Equations An Introduction

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Author : S. Alinhac
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-20

Geometric Analysis Of Hyperbolic Differential Equations An Introduction written by S. Alinhac 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 2010-05-20 with Mathematics categories.

Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.

The Abel Prize 2018 2022

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Author : Helge Holden
language : en
Publisher: Springer Nature
Release Date : 2024-04-25

The Abel Prize 2018 2022 written by Helge Holden and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-25 with Mathematics categories.

The book presents the winners of the Abel Prize in mathematics for the period 2018–2022: - Robert P. Langlands (2018) - Karen K. Uhlenbeck (2019) - Hillel Furstenberg and Gregory Margulis (2020) - Lászlo Lóvász and Avi Wigderson (2021) - Dennis P. Sullivan (2022) The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos from the period 2018–2022 showing many of the additional activities connected with the Abel Prize. This book follows on The Abel Prize: 2003–2007. The First Five Years (Springer, 2010) and The Abel Prize 2008–2012 (Springer, 2014) as well as on The Abel Prize 2013–2017 (Springer, 2019), which profile the previous Abel Prize laureates.

Group Actions In Ergodic Theory Geometry And Topology

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Author : Robert J. Zimmer
language : en
Publisher: University of Chicago Press
Release Date : 2019-12-23

Group Actions In Ergodic Theory Geometry And Topology written by Robert J. Zimmer and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-23 with Mathematics categories.

Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.

Moonshine The First Quarter Century And Beyond

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Author : James Lepowsky
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-03

Moonshine The First Quarter Century And Beyond written by James Lepowsky 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 2010-06-03 with Mathematics categories.

This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.