SØG - mellem flere end 8 millioner bøger:
Viser: Random Walks and Heat Kernels on Graphs
Random Walks and Heat Kernels on Graphs
Martin T. Barlow
(2017)
Sprog: Engelsk
Cambridge University Press
799,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- Paperback: 236 sider
- Udgiver: Cambridge University Press (Februar 2017)
- ISBN: 9781107674424
This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that are stable under these transformations. Applications include the 'type problem': determining whether a graph is transient or recurrent. The final chapters show how geometric properties of the graph can be used to establish heat kernel bounds, that is, bounds on the transition probabilities of the random walk, and it is proved that Gaussian bounds hold for graphs that are roughly isometric to Euclidean space. Aimed at graduate students in mathematics, the book is also useful for researchers as a reference for results that are hard to find elsewhere.
Preface;
1. Introduction;
2. Random walks and electrical resistance;
3. Isoperimetric inequalities and applications;
4. Discrete time heat kernel;
5. Continuous time random walks;
6. Heat kernel bounds;
7. Potential theory and Harnack inequalities; Appendix A; References; Index.
1. Introduction;
2. Random walks and electrical resistance;
3. Isoperimetric inequalities and applications;
4. Discrete time heat kernel;
5. Continuous time random walks;
6. Heat kernel bounds;
7. Potential theory and Harnack inequalities; Appendix A; References; Index.
De oplyste priser er inkl. moms
Butikker og åbningstid
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Polyteknisk Boghandel og Forlag A/S - Anker Engelundsvej 1 - 2800 Lyngby
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927