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Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami
| Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami |
| Autore | Kigami Jun |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Quasiconformal mappings
Greenn's functions Jump processes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8523-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Part 1. Resistance forms and heat kernels""; ""Chapter 2. Topology associated with a subspace of functions""; ""Chapter 3. Basics on resistance forms ""; ""Chapter 4. The Green function""; ""Chapter 5. Topologies associated with resistance forms""; ""Chapter 6. Regularity of resistance forms""; ""Chapter 7. Annulus comparable condition and local property""; ""Chapter 8. Trace of resistance form""; ""Chapter 9. Resistance forms as Dirichlet forms""; ""Chapter 10. Transition density""; ""Part 2. Quasisymmetric metrics and volume doubling measures""
""Chapter 11. Semi-quasisymmetric metrics""""Chapter 12. Quasisymmetric metrics""; ""Chapter 13. Relations of measures and metrics""; ""Chapter 14. Construction of quasisymmetric metrics""; ""Part 3. Volume doubling measures and heat kernel estimates""; ""Chapter 15. Main results on heat kernel estimates""; ""Chapter 16. Example: the -stable process on R""; ""Chapter 17. Basic tools in heat kernel estimates""; ""Chapter 18. Proof of Theorem 15.6""; ""Chapter 19. Proof of Theorems 15.10, 15.11 and 15.13""; ""Part 4. Random Sierpinski gaskets""; ""Chapter 20. Generalized Sierpinski gasket"" ""Chapter 21. Random Sierpinski gasket""""Chapter 22. Resistance forms on Random Sierpinski gaskets""; ""Chapter 23. Volume doubling property""; ""Chapter 24. Homogeneous case""; ""Chapter 25. Introducing randomness""; ""Bibliography""; ""Assumptions, Conditions and Properties in Parentheses""; ""List of Notations""; ""Index"" |
| Record Nr. | UNINA-9910480509503321 |
Kigami Jun
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami
| Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami |
| Autore | Kigami Jun |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Quasiconformal mappings
Greenn's functions Jump processes |
| ISBN | 0-8218-8523-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Part 1. Resistance forms and heat kernels""; ""Chapter 2. Topology associated with a subspace of functions""; ""Chapter 3. Basics on resistance forms ""; ""Chapter 4. The Green function""; ""Chapter 5. Topologies associated with resistance forms""; ""Chapter 6. Regularity of resistance forms""; ""Chapter 7. Annulus comparable condition and local property""; ""Chapter 8. Trace of resistance form""; ""Chapter 9. Resistance forms as Dirichlet forms""; ""Chapter 10. Transition density""; ""Part 2. Quasisymmetric metrics and volume doubling measures""
""Chapter 11. Semi-quasisymmetric metrics""""Chapter 12. Quasisymmetric metrics""; ""Chapter 13. Relations of measures and metrics""; ""Chapter 14. Construction of quasisymmetric metrics""; ""Part 3. Volume doubling measures and heat kernel estimates""; ""Chapter 15. Main results on heat kernel estimates""; ""Chapter 16. Example: the -stable process on R""; ""Chapter 17. Basic tools in heat kernel estimates""; ""Chapter 18. Proof of Theorem 15.6""; ""Chapter 19. Proof of Theorems 15.10, 15.11 and 15.13""; ""Part 4. Random Sierpinski gaskets""; ""Chapter 20. Generalized Sierpinski gasket"" ""Chapter 21. Random Sierpinski gasket""""Chapter 22. Resistance forms on Random Sierpinski gaskets""; ""Chapter 23. Volume doubling property""; ""Chapter 24. Homogeneous case""; ""Chapter 25. Introducing randomness""; ""Bibliography""; ""Assumptions, Conditions and Properties in Parentheses""; ""List of Notations""; ""Index"" |
| Record Nr. | UNINA-9910788617303321 |
|
Kigami Jun
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami
| Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami |
| Autore | Kigami Jun |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Quasiconformal mappings
Greenn's functions Jump processes |
| ISBN | 0-8218-8523-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Part 1. Resistance forms and heat kernels""; ""Chapter 2. Topology associated with a subspace of functions""; ""Chapter 3. Basics on resistance forms ""; ""Chapter 4. The Green function""; ""Chapter 5. Topologies associated with resistance forms""; ""Chapter 6. Regularity of resistance forms""; ""Chapter 7. Annulus comparable condition and local property""; ""Chapter 8. Trace of resistance form""; ""Chapter 9. Resistance forms as Dirichlet forms""; ""Chapter 10. Transition density""; ""Part 2. Quasisymmetric metrics and volume doubling measures""
""Chapter 11. Semi-quasisymmetric metrics""""Chapter 12. Quasisymmetric metrics""; ""Chapter 13. Relations of measures and metrics""; ""Chapter 14. Construction of quasisymmetric metrics""; ""Part 3. Volume doubling measures and heat kernel estimates""; ""Chapter 15. Main results on heat kernel estimates""; ""Chapter 16. Example: the -stable process on R""; ""Chapter 17. Basic tools in heat kernel estimates""; ""Chapter 18. Proof of Theorem 15.6""; ""Chapter 19. Proof of Theorems 15.10, 15.11 and 15.13""; ""Part 4. Random Sierpinski gaskets""; ""Chapter 20. Generalized Sierpinski gasket"" ""Chapter 21. Random Sierpinski gasket""""Chapter 22. Resistance forms on Random Sierpinski gaskets""; ""Chapter 23. Volume doubling property""; ""Chapter 24. Homogeneous case""; ""Chapter 25. Introducing randomness""; ""Bibliography""; ""Assumptions, Conditions and Properties in Parentheses""; ""List of Notations""; ""Index"" |
| Record Nr. | UNINA-9910818809903321 |
|
Kigami Jun
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||