Transition density estimates for Brownian motion on affine nested fractals-Reference-Cited by-同舟云学术

Transition density estimates for Brownian motion on affine nested fractals

Published:1994-10 Issue:3 Volume:165 Page:595-620
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun.Math. Phys.

Author:

Fitzsimmons Pat J.,Hambly Ben M.,Kumagai Takashi

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF02099425.pdf

Reference31 articles.

1. Bandt, C., Stahnke, J.: Self-similar sets 6: Interior distance on deterministic fractals. Preprint, 1991

2. Barlow, M.T.: Random walks, electrical resistance, and nested fractals. In: K. D. Elworthy, N. Ikeda (eds.) Asymptotic Problems in Probability Theory: Stochastic models and diffusions on fractals. Pitman: Montreal: 1993, pp. 131–157

3. Barlow, M.T., Bass, R.F.: Construction of Brownian motion on the Sierpinski carpet. Ann Inst H. Poincaré25, 225–257 (1989)

4. Barlow, M.T., Bass, R.F.: Transition densities for Brownian motion on the Sierpinski carpet. Probab. Theory Relat. Fields91, 307–330 (1991)

5. Barlow, M.T., Perkins, E.A.: Brownian motion on the Sierpinski gasket. Probab. Theory Rel. Fields79, 543–624 (1988)

Cited by 81 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Korevaar–Schoen–Sobolev spaces and critical exponents in metric measure spaces;Annales Fennici Mathematici;2024-08-26

2. Support of the free measure for quantum field on fractal space-time;Letters in Mathematical Physics;2024-08-13

3. Good labeling property of simple nested fractals;Journal of Fractal Geometry, Mathematics of Fractals and Related Topics;2024-05-28

4. Density of states for the Anderson model on nested fractals;Analysis and Mathematical Physics;2024-03-10

5. Heat kernel for reflected diffusion and extension property on uniform domains;Probability Theory and Related Fields;2024-03-05