Analysis and Geometry on Graphs and Manifolds
eBook - PDF

Analysis and Geometry on Graphs and Manifolds

  1. 494 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Analysis and Geometry on Graphs and Manifolds

About this book

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.

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Information

Publisher
Cambridge University Press
Year
2020
Print ISBN
9781108713184
eBook ISBN
9781108600897
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Cover
  2. Series page
  3. Title page
  4. Copyright page
  5. Contents
  6. List of Contributors
  7. Preface
  8. 1 Infinite planar graphs with nonnegative curvature
  9. 2 Curvature Calculations for Antitrees
  10. 3 Gromov–Lawson Tunnels with Estimates
  11. 4 Norm Convergence of the Resolvent for Wild Perturbations
  12. 5 Manifolds with Ricci Curvature in the Kato Class: Heat Kernel Bounds and Applications
  13. 6 Multiple Boundary Representations of λ-Harmonic Functions on Trees
  14. 7 Internal DLA on Sierpinski Gasket Graphs
  15. 8 Universal Lower Bounds for Laplacians on Weighted Graphs
  16. 9 Critical Hardy Inequalities on Manifolds and Graphs
  17. 10 Neumann Domains on Graphs and Manifolds
  18. 11 On the Existence and Uniqueness of Self-Adjoint Realizations of Discrete (Magnetic) Schrödinger Operators
  19. 12 Box Spaces: Geometry of Finite Quotients
  20. 13 Ramanujan Graphs and Digraphs
  21. 14 From Partial Differential Equations to Groups
  22. 15 Spectral Properties of Limit-Periodic Operators
  23. 16 Uniform Existence of the IDS on Lattices and Groups

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Yes, you can access Analysis and Geometry on Graphs and Manifolds by Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over 1.5 million books available in our catalogue for you to explore.