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Time Changes of the Brownian Motion.
In this paper, time changes of the Brownian motions on generalized Sierpinski carpets including n-dimensional cube [0, 1]^n are studied. Intuitively time change corresponds to alteration to density of the medium where the heat flows. In case of the Brownian motion on [0, 1]^n, density of the medium...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2019.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1250. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Kigami, Jun. | |
| 245 | 1 | 0 | |a Time Changes of the Brownian Motion. |
| 260 | |a Providence : |b American Mathematical Society, |c 2019. | ||
| 300 | |a 1 online resource (130 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society ; |v no. 1250 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title page; Chapter 1. Introduction; Chapter 2. Generalized Sierpinski carpets; Chapter 3. Standing assumptions and notations; Chapter 4. Gauge function; Chapter 5. The Brownian motion and the Green function; Chapter 6. Time change of the Brownian motion; Chapter 7. Scaling of the Green function; Chapter 8. Resolvents; Chapter 9. Poincaré inequality; Chapter 10. Heat kernel, existence and continuity; Chapter 11. Measures having weak exponential decay; Chapter 12. Protodistance and diagonal lower estimateof heat kernel; Chapter 13. Proof of Theorem 1.1 | |
| 505 | 8 | |a Chapter 14. Random measures having weak exponential decayChapter 15. Volume doubling measure and sub-Gaussian heat kernel estimate; Chapter 16. Examples; Chapter 17. Construction of metrics from gauge function; Chapter 18. Metrics and quasimetrics; Chapter 19. Protodistance and the volume doubling property; Chapter 20. Upper estimate of _{ }(,); Chapter 21. Lower estimate of _{ }(,); Chapter 22. Non existence of super-Gaussian heat kernel behavior; Bibliography; List of Notations; Index; Back Cover | |
| 520 | |a In this paper, time changes of the Brownian motions on generalized Sierpinski carpets including n-dimensional cube [0, 1]^n are studied. Intuitively time change corresponds to alteration to density of the medium where the heat flows. In case of the Brownian motion on [0, 1]^n, density of the medium is homogeneous and represented by the Lebesgue measure. The author's study includes densities which are singular to the homogeneous one. He establishes a rich class of measures called measures having weak exponential decay. This class contains measures which are singular to the homogeneous one such. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Brownian motion processes. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Heat |x Transmission. | |
| 650 | 6 | |a Processus de mouvement brownien. | |
| 650 | 6 | |a Analyse mathématique. | |
| 650 | 6 | |a Chaleur |x Transmission. | |
| 650 | 7 | |a heat transmission. |2 aat | |
| 650 | 7 | |a Análisis matemático |2 embne | |
| 650 | 0 | 7 | |a Movimientos brownianos |2 embucm |
| 650 | 0 | 7 | |a Calor-Transmisión |2 embucm |
| 650 | 7 | |a Brownian motion processes |2 fast | |
| 650 | 7 | |a Heat |x Transmission |2 fast | |
| 650 | 7 | |a Mathematical analysis |2 fast | |
| 758 | |i has work: |a Time changes of the Brownian motion (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFvvMDhG9xrrqcfgQTtDRq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Kigami, Jun. |t Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance. |d Providence : American Mathematical Society, ©2019 |z 9781470436209 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1250. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5788261 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5788261 | ||
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