19 citations · 28 across the 10 of their papers we have counts for
10 papers
Homogenization of diffusion processes with singular drifts and potentials via unfolding method
Toshihiro Uemura, Adisak Seesanea
This work is concerned with homogenization problems for elliptic equations of the type \[ \begin{cases} \mathfrak{L}_δ u_δ + λu_δ = f_δ \qquad \text{in} \;\; D, \\ \qquad \quad \;\…
Dynkin games for Markov processes associated with semi-Dirichlet forms
Takumu Ooi, Toshihiro Uemura
We consider Dynkin games for Markov processes associated with semi-Dirichlet forms. Dynkin games are the optimal stopping games introduced as the models of zero-sum games by two pl…
Criticality of Schrödinger Forms and Recurrence of Dirichlet Forms
Masayoshi Takeda, Toshihiro Uemura
Introducing the notion of extended Schrödinger spaces, we define the criticality and subcriticality of Schrödinger forms in the same manner as the recurrence and transience of Diri…
Homogenization of Symmetric Lévy Processes on
René L. Schilling, Toshihiro Uemura
In this short note we study homogenization of symmetric -dimensional Lévy processes. Homogenization of one-dimensional pure jump Markov processes has been investigated by Tanaka…
Weak convergence of regular Dirichlet subspaces
Liping Li, Toshihiro Uemura, Jiangang Ying
In this paper we shall prove the weak convergence of the associated diffusion processes of regular subspaces with monotone characteristic sets for a fixed Dirichlet form. More prec…
On instability of global path properties of symmetric Dirichlet forms under Mosco-convergence
Kohei Suzuki, Toshihiro Uemura
We give sufficient conditions for Mosco convergences for the following three cases: symmetric locally uniformly elliptic diffusions, symmetric Lévy processes, and symmetric jump pr…