Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Author: Manfred Stoll

Publisher: Cambridge University Press

Published: 2016-06-30

Total Pages: 243

ISBN-13: 131666676X

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This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects.


Groups St Andrews 2017 in Birmingham

Groups St Andrews 2017 in Birmingham

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 2019-04-11

Total Pages: 510

ISBN-13: 110872874X

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These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.


Integrable Systems and Algebraic Geometry: Volume 2

Integrable Systems and Algebraic Geometry: Volume 2

Author: Ron Donagi

Publisher: Cambridge University Press

Published: 2020-04-02

Total Pages: 537

ISBN-13: 1108805337

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Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. The articles in this second volume discuss areas related to algebraic geometry, emphasizing the connections of this central subject to integrable systems, arithmetic geometry, Riemann surfaces, coding theory and lattice theory.


Integrable Systems and Algebraic Geometry

Integrable Systems and Algebraic Geometry

Author: Ron Donagi

Publisher: Cambridge University Press

Published: 2020-03-02

Total Pages: 537

ISBN-13: 110871577X

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A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.


Stochastic Stability of Differential Equations in Abstract Spaces

Stochastic Stability of Differential Equations in Abstract Spaces

Author: Kai Liu

Publisher: Cambridge University Press

Published: 2019-05-02

Total Pages: 277

ISBN-13: 1108626491

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The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems. Its core material is divided into three parts devoted respectively to the stochastic stability of linear systems, non-linear systems, and time-delay systems. The focus is on stability of stochastic dynamical processes affected by white noise, which are described by partial differential equations such as the Navier–Stokes equations. A range of mathematicians and scientists, including those involved in numerical computation, will find this book useful. It is also ideal for engineers working on stochastic systems and their control, and researchers in mathematical physics or biology.


Shimura Varieties

Shimura Varieties

Author: Thomas Haines

Publisher: Cambridge University Press

Published: 2020-02-20

Total Pages: 341

ISBN-13: 1108704867

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This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011


Beyond Hyperbolicity

Beyond Hyperbolicity

Author: Mark Hagen

Publisher: Cambridge University Press

Published: 2019-07-11

Total Pages: 242

ISBN-13: 1108447295

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Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.


Analysis and Geometry on Graphs and Manifolds

Analysis and Geometry on Graphs and Manifolds

Author: Matthias Keller

Publisher: Cambridge University Press

Published: 2020-08-20

Total Pages: 493

ISBN-13: 1108713181

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