Analysis and Geometry on Graphs and Manifolds

doi:10.1017/9781108615259

- Get access
  
  Buy a print copy
  
  Check if you have access via personal or institutional login
  
  Log in Register
Cited by 2
Cited by
- 2
Crossref Citations

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Abdelhakim, Ahmed A. 2022. Sharp subcritical and critical $L^{p}$ Hardy inequalities on the sphere. Journal of Inequalities and Applications, Vol. 2022, Issue. 1,

CrossRef

Google Scholar

Heizmann, Nico 2023. On the Fluctuations of Internal DLA on the Sierpinski Gasket Graph. Mathematical and Computational Applications, Vol. 28, Issue. 3, p. 73.

CrossRef

Google Scholar

Edited by Matthias Keller, Universität Potsdam, Germany, Daniel Lenz, Universität Potsdam, Germany, Radoslaw K. Wojciechowski, York College of the City University of New York

Publisher:: Cambridge University Press
Online publication date:: August 2020
Print publication year:: 2020
Online ISBN:: 9781108615259
DOI:: https://doi.org/10.1017/9781108615259

Subjects:: Mathematics (general), Mathematics, Abstract Analysis, Geometry and Topology
Series:: London Mathematical Society Lecture Note Series (461)

115.00 (USD)

Digital access for individuals
(PDF download and/or read online)
Add to cart

Added to cart

Digital access for individuals
(PDF download and/or read online)
View cart
Export citation
Buy a print copy

Information

Contents

Metrics

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.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Analysis and Geometry on Graphs and Manifolds

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Contents
pp v-vi

List of Contributors
pp vii-x

Preface
pp xi-xiv

1 - Infinite Planar Graphs with Non-negative Combinatorial Curvature
pp 1-20

2 - Curvature Calculations for Antitrees
pp 21-54

3 - Gromov–Lawson Tunnels with Estimates
pp 55-65

4 - Norm Convergence of the Resolvent for Wild Perturbations
pp 66-75

5 - Manifolds with Ricci Curvature in the Kato Class: Heat Kernel Bounds and Applications
pp 76-94

6 - Multiple Boundary Representations of λ-Harmonic Functions on Trees
pp 95-125

7 - Internal DLA on Sierpinski Gasket Graphs
pp 126-155

8 - Universal Lower Bounds for Laplacians on Weighted Graphs
pp 156-171

9 - Critical Hardy Inequalities on Manifolds and Graphs
pp 172-202

10 - Neumann Domains on Graphs and Manifolds
pp 203-249

11 - On the Existence and Uniqueness of Self-Adjoint Realizations of Discrete (Magnetic) Schrödinger Operators
pp 250-327

12 - Box Spaces: Geometry of Finite Quotients
pp 328-343

13 - Ramanujan Graphs and Digraphs
pp 344-367

14 - From Partial Differential Equations to Groups
pp 368-381

15 - Spectral Properties of Limit-Periodic Operators
pp 382-444

16 - Uniform Existence of the IDS on Lattices and Groups
pp 445-478

Metrics

Altmetric attention score

Full text views

Book summary page views

Analysis and Geometry on Graphs and Manifolds

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views