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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...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence :
American Mathematical Society,
2019.
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| Collection: | Memoirs of the American Mathematical Society ;
no. 1250. |
| Sujets: | |
| Accès en ligne: | Texto completo |
| Résumé: | 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. |
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| Description matérielle: | 1 online resource (130 pages) |
| ISBN: | 1470452553 9781470452551 |