Analysis and Geometry on Graphs and Manifolds (Paperback)

Matthias Keller

ISBN 10: 1108713181 / ISBN 13: 9781108713184

Editore: Cambridge University Press, Cambridge, 2020

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Paperback. The interplay of geometry, spectral theory and stochastics has a long and fruitful history, and is the driving force behind many developments in modern mathematics. Bringing together contributions from a 2017 conference at the University of Potsdam, this volume focuses on global effects of local properties. Exploring the similarities and differences between the discrete and the continuous settings is of great interest to both researchers and graduate students in geometric analysis. The range of survey articles presented in this volume give an expository overview of various topics, including curvature, the effects of geometry on the spectrum, geometric group theory, and spectral theory of Laplacian and Schroedinger operators. Also included are shorter articles focusing on specific techniques and problems, allowing the reader to get to the heart of several key topics. This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781108713184

Dati bibliografici

Titolo: Analysis and Geometry on Graphs and ...

Casa editrice: Cambridge University Press, Cambridge

Data di pubblicazione: 2020

Legatura: Paperback

Condizione: new

Descrizione articolo

Riassunto:

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

Informazioni sugli autori:

Matthias Keller is a Professor of Mathematics at the University of Potsdam. He has contributed to books including Random Walks, Boundaries and Spectra (2011) and Modern Approaches to Discrete Curvature (2017).

Daniel Lenz is a Professor of Mathematics at the Friedrich-Schiller University Jena. He has written numerous papers and previously contributed to Groups, Graphs and Random Walks (Cambridge, 2017).

Radoslaw K. Wojciechowski is an Associate Professor at the City University of New York and a member of the American Mathematical Society. He currently has a Simons Collaboration Grant for Mathematicians and previously was awarded a National Science Foundation Conferences and Workshops in the Mathematical Sciences Grant. He has contributed to the book Random Walks, Boundaries and Spectra (2011).