M. Fukushima

activity

20052016

most citedTraces of symmetric Markov processes and their characterizations

27 citations · 83 across the 7 of their papers we have counts for

collaborators

7 papers

math.PR2016

Reflections at infinity of time changed RBMs on a domain with Liouville branches

Zhen-Qing Chen, Masatoshi Fukushima

Let $Z$ be the transient reflecting Brownian motion on the closure of an unbounded domain $D \subset R^{d}$ with $N$ number of Liouville branches. We consider a diffusion $X…

math.PR2016★ 1 cited

Stochastic Komatu-Loewner evolutions and SLEs

Zhen-Qing Chen, Masatoshi Fukushima, Hiroyuki Suzuki

Let $D = H ∖ ⋃_{j = 1}^{N} C_{j}$ be a standard slit domain, where $H$ is the upper half plane and $C_{j}, 1 \leq j \leq N,$ are mutually disjoint horizontal line…

math.PR2014★ 4 cited

Stochastic Komatu-Loewner evolutions and BMD domain constant

Zhen-Qing Chen, Masatoshi Fukushima

Let $D = H ∖ \cup_{k = 1}^{N} C_{k}$ be a standard slit domain, where $H$ is the upper half plane and $C_{k}$ , $1 \leq k \leq N$ , are mutually disjoint horizontal l…

math.PR2012★ 19 cited

Jump-type Hunt processes generated by lower bounded semi-Dirichlet forms

Masatoshi Fukushima, Toshihiro Uemura

Let $E$ be a locally compact separable metric space and $m$ be a positive Radon measure on it. Given a nonnegative function $k$ defined on $E \times E$ off the diagonal whose anti-s…

math.PR2008★ 6 cited

On unique extension of time changed reflecting Brownian motions

Zhen-Qing Chen, Masatoshi Fukushima

Let $D$ be an unbounded domain in $\RR^d$ with $d \geq 3$ . We show that if $D$ contains an unbounded uniform domain, then the symmetric reflecting Brownian motion (RBM) on $\overlin…

math.PR2006★ 27 cited

Traces of symmetric Markov processes and their characterizations

Zhen-Qing Chen, Masatoshi Fukushima, Jiangang Ying

Time change is one of the most basic and very useful transformations for Markov processes. The time changed process can also be regarded as the trace of the original process on the…