Analysis and Geometry on Graphs and Manifolds
Published on 12. August 2020
494 pages
978-1-108-60089-7 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
6,45 MB
ISBN-13
978-1-108-60089-7 (9781108600897)
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Schweitzer Classification
Other editions
Additional editions
Matthias Keller | Daniel Lenz | Radoslaw K. Wojciechowski
Analysis and Geometry on Graphs and Manifolds
Book
08/2020
Cambridge University Press
€118.50
Shipment within 15-20 days
Persons
Content
1. Infinite planar graphs with nonnegative combinatorial curvature Bobo Hua and Yanhui Su; 2. Curvature calculations for antitrees David Cushing, Shiping Liu, Florentin Munch and Norbert Peyerimho; 3. Gromov-Lawson tunnels with estimates Jozef Dodziuk; 4. Norm convergence of the resolvent for wild perturbations Colette Anne and Olaf Post; 5. Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications Peter Stollmann and Christian Rose; 6. Multiple boundary representations of ? - harmonic functions on trees Massimo A. Picardello and Wolfgang Woess; 7. Internal DLA on Sierpinski gasket graphs Joe P. Chen, Wilfried Huss, Ecaterina Sava-Huss and Alexander Teplyaev; 8. Universal lower bounds for Laplacians on weighted graphs Daniel Lenz and Peter Stollmann 9. On Hardy inequalities on graphs and manifolds Matthias Keller, Yehuda Pinchover and Felix Pogorzelski; 10. Neumann domains on manifolds and graphs Lior Alon, Michael Bersudsky, Sebastian Egger and Rami Band; 11. On the existence and uniqueness of self-adjoint realizations of discrete (magnetic) Schroedinger operators Marcel Schmidt; 12. Box spaces: geometry of finite quotients Ana Khukhro and Alain Valette; 13. Ramanujan graphs and digraphs Ori Parzanchevski; 14. From partial differential equations to groups Andrzej Zuk; 15. Spectral properties of limit-periodic operators David Damanik and Jake Fillman; 16. Uniform existence of the IDS on lattices and groups Christoph Schumacher, Fabian Schwarzenberger and Ivan Veselic.
