Analysis and Geometry on Graphs and Manifolds

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Matthias Keller (Universität Potsdam, Germany) Daniel Lenz (Universität Potsdam, Germany)

Analysis and Geometry on Graphs and Manifolds

Matthias Keller (Universität Potsdam, Germany), Daniel Lenz (Universität Potsdam, Germany), Radoslaw K. Wojciechowski

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English

Cambridge University Press
20 August 2020

Mathematics & Sciences; Functional analysis & transforms; Algebraic geometry

Series: London Mathematical Society Lecture Note Series

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.

Edited by: Matthias Keller (Universität Potsdam Germany), Daniel Lenz (Universität Potsdam, Germany), Radoslaw K. Wojciechowski
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 228mm, Width: 151mm, Spine: 27mm
Weight: 720g
ISBN: 9781108713184
ISBN 10: 1108713181
Series: London Mathematical Society Lecture Note Series
Pages: 502
Publication Date: 20 August 2020
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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).