Transition density estimates for Brownian motion on affine nested fractals

1994/10/01 by Pat J. Fitzsimmons, Pat Fitzsimmons, Ben M. Hambly +2 · 8 citations
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · doi:10.1007/bf02099425

Citations

• Diffusion in disordered media
• Diffusion in disordered media

Cited by

• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• Sobolev inequalities on product Sierpinski spaces
• L^p-Kato class measures for symmetric Markov processes under heat kernel estimates
• On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates
• Scaling limit for Brownian motions on the l-level Sierpinski gaskets: The fractal to Euclidean crossover
• L^p-Poincaré inequalities on nested fractals
• Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps
• Dirichlet forms on unconstrained Sierpinski carpets