Analysis and Geometry on Graphs and Manifolds: 461 (London Mathematical Society Lecture Note Series, Series Number 461) - Softcover

Softcover

ISBN 10: 1108713181 ISBN 13: 9781108713184

Publisher: Cambridge University Press, 2020

Synopsis

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 Schrödinger operators. Also included are shorter articles focusing on specific techniques and problems, allowing the reader to get to the heart of several key topics.

About this title

About the Authors

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).

Edition details

• Publisher: Cambridge University Press
• Publication date: 2020
• ISBN 10: 1108713181
• ISBN 13: 9781108713184
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 494
• Editor: Keller Matthias