Transition probabilities for the simple random walk on the Sierpinski graph

Stochastic Processes and their Applications

Volumn 61, Issue 1, 1996, Pages 45-69

  Jones, Owen Dafydd ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

Fractal; Random walk; Transition probability

Indexed keywords

EID: 0029690374     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-4149(95)00074-7     Document Type: Article

References (10)

1. M.T. Barlow and R.F. Bass, Transition densities for Brownian motion on the Sierpinski carpet, Probab. Theory Related Fields 91 (1992) 307-330.
2. M.T. Barlow and E.A. Perkins, Brownian motion on the Sierpinski gasket, Probab. Theory Related Fields 79 (1988) 543-623.
3. e série, 109 (1985) 399-405.
4. E.B. Davies, Large deviations for heat kernels on graphs, J. London Math. Soc. Ser. 2, 47 (1993) 65-72.
5. P.J. Fitzsimmons, B. Hambly and T. Kumagai, Transition density estimates for Brownian motion on affine nested fractals, Commun. Math. Phys. 165 (1994) 595-620.
6. B. Hambly, Brownian motion on a homogeneous random fractal, Probab. Theory Related Fields 94 (1992) 1-38.
7. O.D. Jones, Random walks on pre-fractals and branching processes, PhD Thesis, Statistical Laboratory, Cantab., submitted in: September 1995.
8. T. Kumagai, Estimates of the transition densities for Brownian motion on nested fractals, Probab. Theory Related Fields 96 (1993) 205-224.
9. H. Osada, Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets, Probab. Theory Related Fields 86 (1990) 469-490.
10. M.M.H. Pang, Heat kernels of graphs, J. London Math. Soc. Ser. 2, 47 (1993) 50-64.