On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates. II: Some borderline examples
From MaRDI portal
Publication:2088472
DOI10.1007/978-981-19-4672-1_13zbMath1497.60111arXiv2108.02027OpenAlexW3190725328MaRDI QIDQ2088472
Publication date: 22 October 2022
Full work available at URL: https://arxiv.org/abs/2108.02027
singularity of energy measuresub-Gaussian heat kernel estimatethin scale irregular Sierpiński gasket
Brownian motion (60J65) Dirichlet forms (31C25) Diffusion processes (60J60) Fractals (28A80) Transition functions, generators and resolvents (60J35) Potential theory on fractals and metric spaces (31E05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dirichlet forms and symmetric Markov processes.
- Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces
- Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces
- Dirichlet forms of fractals and products of random matrices
- Brownian motion on the Sierpinski gasket
- Transition densities for Brownian motion on the Sierpinski carpet
- Brownian motion on a homogeneous fractal
- What is not in the domain of the Laplacian on Sierpinski gasket type fractals
- Statistical mechanics and fractals
- Estimates of transition densities for Brownian motion of nested fractals
- Transition density estimates for Brownian motion on affine nested fractals
- Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets
- On singularity of energy measures on self-similar sets
- Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
- Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
- On the equivalence of parabolic Harnack inequalities and heat kernel estimates
- Singularity of energy measures on a class of inhomogeneous Sierpinski gaskets
- On the length of chains in a metric space
- On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates
- Energy inequalities for cutoff functions and some applications
- Stability of parabolic Harnack inequalities on metric measure spaces
- Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula
- Resistance forms, quasisymmetric maps and heat kernel estimates
- ON SINGULARITY OF ENERGY MEASURES ON SELF-SIMILAR SETS II
- Brownian Motion and Harmonic Analysis on Sierpinski Carpets
- Stability of parabolic Harnack inequalities
