Determination of the walk dimension of the Sierpiński gasket without using diffusion
From MaRDI portal
Publication:1621269
DOI10.4171/JFG/66zbMath1416.28011arXiv1610.08920OpenAlexW3098554123MaRDI QIDQ1621269
Alexander Grigor'yan, Meng Yang
Publication date: 8 November 2018
Published in: Journal of Fractal Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.08920
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Fractals (28A80) Boundary theory for Markov processes (60J50)
Related Items
On the domains of Dirichlet forms on metric measure spaces ⋮ Stochastic modelling of fractal diffusion and dimension estimation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dirichlet forms and symmetric Markov processes.
- Denumerable Markov chains. Generating functions, boundary theory, random walks on trees.
- A trace theorem for Dirichlet forms on fractals
- Brownian motion on the Sierpinski gasket
- Transition densities for Brownian motion on the Sierpinski carpet
- On reflected Dirichlet spaces
- Estimates of transition densities for Brownian motion of nested fractals
- Potential theory on infinite networks
- Crossing estimates and convergence of Dirichlet functions along random walk and diffusion paths
- Random walks and induced Dirichlet forms on self-similar sets
- On function spaces related to fractional diffusions on d-sets
- Self-similar sets as hyperbolic boundaries
- Heat kernels on metric measure spaces and an application to semilinear elliptic equations
- Random Walks on Infinite Graphs and Groups
- Regular Representations of Dirichlet Spaces