Acoustics, Information, and Communication : Memorial Volume in Honor of Manfred R. Schroeder / Ning Xiang, Gerhard M. Sessler editors

• Record Nr.: UNICAMPANIASUN0133463
• Pubbl/distr/stampa: xviii, 461 p., : ill. ; 24 cm
• Edizione: [Cham : Springer : Asa Press, 2015]
• Descrizione fisica: Pubblicazione in formato elettronico
• Soggetti: 94-XX - Information and communication theory, circuits [MSC 2020]; 92-XX - Biology and other natural sciences [MSC 2020]; 92C55 - Biomedical imaging and signal processing [MSC 2020]
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia

Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami

• Record Nr.: UNINA9910788617303321
• Autore: Kigami Jun
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2011; ©2011
• ISBN: 0-8218-8523-5
• Descrizione fisica: 1 online resource (132 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 216, Number 1015
• Disciplina: 515/.9
• Soggetti: Quasiconformal mappings; Greenn's functions; Jump processes
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "March 2012, Volume 216, Number 1015 (first of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• 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""