Výsledky vyhledávání - "Naotaka Kajino"

On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates

Publikováno v: Ann. Probab. 48, no. 6 (2020), 2920-2951

We show that for a strongly local, regular symmetric Dirichlet form over a complete, locally compact geodesic metric space, full off-diagonal heat kernel estimates with walk dimension strictly larger than two (\emph{sub-Gaussian} estimates) imply the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48a89edba161e590e0f80cbf21493b30
https://doi.org/10.1214/20-aop1440

Zobrazit plný text záznamu

LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA

Autor: Alexander Grigor'yan, Naotaka Kajino

Publikováno v: Transactions of the American Mathematical Society. 369(2):1025-1060

We prove that for a general diffusion process, certain assumptions on its behavior \emph{only within a fixed open subset} of the state space imply the existence and sub-Gaussian type off-diagonal upper bounds of the \emph{global} heat kernel on the f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3df62efa01e92b0d99e79f8f0d762537
http://www.lib.kobe-u.ac.jp/handle_kernel/90003813

Zobrazit plný text záznamu

Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions

Autor: Naotaka Kajino, Sebastian Andres

Publikováno v: Probability Theory and Related Fields. 166(3-4):713-752

The Liouville Brownian motion (LBM), recently introduced by Garban, Rhodes and Vargas and in a weaker form also by Berestycki, is a diffusion process evolving in a planar random geometry induced by the Liouville measure $M_\gamma$, formally written a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::832b0488f8da40ddb03c69cae3140b1d
https://hdl.handle.net/20.500.14094/90003812

Zobrazit plný text záznamu

Log-Periodic Asymptotic Expansion of the Spectral Partition Function for Self-Similar Sets

Autor: Naotaka Kajino

Publikováno v: Communications in Mathematical Physics. 328(3):1341-1370

Let $${{\fancyscript{Z}}(t)}$$ be the partition function (the trace of the heat semigroup) of the canonical Laplacian on a post-critically finite self-similar set (with uniform resistance scaling factor and good geometric symmetry) or on a generalize

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8013d40409840ee83dcac6a92125739
https://hdl.handle.net/20.500.14094/90003811

Zobrazit plný text záznamu

On-diagonal oscillation of the heat kernels on post-critically finite self-similar fractals

Autor: Naotaka Kajino

Publikováno v: Probability Theory and Related Fields. 156(1-2):51-74

For the canonical heat kernels p t (x, y) associated with Dirichlet forms on post-critically finite self-similar fractals, e.g. the transition densities (heat kernels) of Brownian motion on affine nested fractals, the non-existence of the limit $${\l

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17e06cfaaf5f80e73e1c29c85c56075c
https://hdl.handle.net/20.500.14094/90003808

Zobrazit plný text záznamu

Equivalence of recurrence and Liouville property for symmetric Dirichlet forms

Autor: Naotaka Kajino

Given a symmetric Dirichlet form $(\mathcal{E},\mathcal{F})$ on a (non-trivial) $\sigma$-finite measure space $(E,\mathcal{B},m)$ with associated Markovian semigroup $\{T_{t}\}_{t\in(0,\infty)}$, we prove that $(\mathcal{E},\mathcal{F})$ is both irre

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc4bd08814f67ec8c6b56d0549d3e531

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání