53 citations · 246 across the 17 of their papers we have counts for
17 papers
Estimates of the local spectral dimension of the Sierpinski gasket
Masanori Hino
We discuss quantitative estimates of the local spectral dimension of the two-dimensional Sierpinski gasket. The present arguments were inspired by a previous study of the distribut…
Singularity of energy measures on a class of inhomogeneous Sierpinski gaskets
Masanori Hino, Madoka Yasui
We study energy measures of canonical Dirichlet forms on inhomogeneous Sierpinski gaskets. We prove that the energy measures and suitable reference measures are mutually singular u…
Pathwise uniqueness and non-explosion property of Skorohod SDEs with a class of non-Lipschitz coefficients and non-smooth domains
Masanori Hino, Kouhei Matsuura, Misaki Yonezawa
Here we study stochastic differential equations with a reflecting boundary condition. We provide sufficient conditions for pathwise uniqueness and non-explosion property of solutio…
Asymptotic behavior of lifetime sums for random simplicial complex processes
Masanori Hino, Shu Kanazawa
We study the homological properties of random simplicial complexes. In particular, we obtain the asymptotic behavior of lifetime sums for a class of increasing random simplicial co…
An integrated version of Varadhan's asymptotics for lower-order perturbations of strong local Dirichlet forms
Masanori Hino, Kouhei Matsuura
The studies of Ramírez, Hino-Ramírez, and Ariyoshi-Hino showed that an integrated version of Varadhan's asymptotics holds for Markovian semigroups associated with arbitrary strong…
Some properties of energy measures on Sierpinski gasket type fractals
Masanori Hino
We confirm, in a more general framework, a part of the conjecture posed by R. Bell, C.-W. Ho, and R. S. Strichartz [Energy measures of harmonic functions on the Sierpiński gasket,…