Analysis on fractal spaces and heat kernels
From MaRDI portal
Publication:2088467
DOI10.1007/978-981-19-4672-1_9zbMath1497.60104OpenAlexW4297571811MaRDI QIDQ2088467
Publication date: 22 October 2022
Full work available at URL: https://doi.org/10.1007/978-981-19-4672-1_9
Brownian motion (60J65) Diffusion processes (60J60) Fractals (28A80) Transition functions, generators and resolvents (60J35) Heat kernel (35K08)
Related Items (3)
A Sierpinski carpet like fractal without standard self-similar energy ⋮ Landscape approximation of the ground state eigenvalue for graphs and random hopping models ⋮ Hausdorff dimensions of inverse images and collision time sets for symmetric Markov processes
Cites Work
- The construction of Brownian motion on the Sierpinski carpet
- Dirichlet forms and symmetric Markov processes.
- Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces
- Uniqueness of Brownian motion on Sierpiński carpets
- Brownian motion on the Sierpinski gasket
- Transition densities for Brownian motion on the Sierpinski carpet
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Dirichlet forms on fractals: Poincaré constant and resistance
- Quasiconformal maps in metric spaces with controlled geometry
- Differentiability of Lipschitz functions on metric measure spaces
- Two-sided estimates of heat kernels of jump type Dirichlet forms
- Which values of the volume growth and escape time exponent are possible for a graph?
- On the length of chains in a metric space
- Brownian motion on fractals and function spaces
- Heat kernel estimates for stable-like processes on \(d\)-sets.
- On function spaces related to fractional diffusions on d-sets
- Isotropic Markov semigroups on ultra-metric spaces
- On the resistance of the Sierpiński carpet
- Harmonic Calculus on P.C.F. Self-Similar Sets
- Brownian motion on nested fractals
- Heat kernels on metric measure spaces and an application to semilinear elliptic equations
- Heat kernels and non-local Dirichlet forms on ultrametric spaces
- Local and non-local Dirichlet forms on the Sierpiński carpet
- Resistance and spectral dimension of Sierpinski carpets
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Analysis on fractal spaces and heat kernels
