Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps
From MaRDI portal
Publication:1006371
DOI10.1007/s00209-008-0326-5zbMath1159.60021arXivmath/0702221OpenAlexW2043081677MaRDI QIDQ1006371
Richard F. Bass, Martin T. Barlow, Takashi Kumagai
Publication date: 24 March 2009
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702221
Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50) Diffusion processes (60J60)
Related Items
Heat kernels for reflected diffusions with jumps on inner uniform domains ⋮ Heat kernel estimates for general symmetric pure jump Dirichlet forms ⋮ On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces ⋮ Parabolic Harnack inequality implies the existence of jump kernel ⋮ Gaussian bounds and collisions of variable speed random walks on lattices with power law conductances ⋮ Boundary Harnack principle for diffusion with jumps ⋮ Gaussian bounds and parabolic Harnack inequality on locally irregular graphs ⋮ Transition probability estimates for subordinate random walks ⋮ Upper heat kernel estimates for nonlocal operators via Aronson's method ⋮ Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model ⋮ Unnamed Item ⋮ Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms ⋮ Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian ⋮ Characterizations of heat kernel estimates for symmetric non-local Dirichlet forms via resistance forms ⋮ Random conductance models with stable-like jumps: quenched invariance principle ⋮ Weighted Poincaré inequality and heat kernel estimates for finite range jump processes ⋮ Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms ⋮ A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps ⋮ On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes ⋮ Stability of heat kernel estimates for symmetric non-local Dirichlet forms ⋮ Long time behavior of the volume of the Wiener sausage on Dirichlet spaces ⋮ Global heat kernel estimates for symmetric jump processes ⋮ Heat kernel estimates for anomalous heavy-tailed random walks ⋮ Nonlocal Harnack inequalities for nonlocal heat equations ⋮ Harnack's inequality for parabolic nonlocal equations ⋮ Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities ⋮ Two-sided heat kernel estimates for symmetric diffusion processes with jumps: recent results
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Opérateurs uniformément sous-elliptiques sur les groupes de Lie. (Uniformly sub-elliptic operators on Lie groups)
- Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part
- Upper bounds for symmetric Markov transition functions
- Parabolic Harnack inequality and estimates of Markov chains on graphs
- Harnack's inequality for stable Lévy processes
- Harnack inequalities and sub-Gaussian estimates for random walks
- Heat kernel estimates for jump processes of mixed types on metric measure spaces
- Heat kernel estimates for stable-like processes on \(d\)-sets.
- Transition Probabilities for Symmetric Jump Processes
- Heat kernel upper bounds for jump processes and the first exit time
- Non-local Dirichlet forms and symmetric jump processes
- Stability of parabolic Harnack inequalities
- SOME REMARKS ON THE ELLIPTIC HARNACK INEQUALITY
- On the relation between elliptic and parabolic Harnack inequalities
