TY - JOUR
T1 - Jump processes on the boundaries of random trees
AU - Tokushige, Yuki
N1 - Funding Information:
The author would like to thank Professor Takashi Kumagai for detailed discussions and careful readings of earlier versions of this paper, Professor Ryoki Fukushima for the literature information about the random walks in random environment. Special thanks go to Shen Lin for informing the author that his results in [6] can simplify the argument in Section 3 of the first version of this paper. This research is partially supported by JSPS KAKENHI 16J02351 .
Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2020/2
Y1 - 2020/2
N2 - In Kigami (2010), Kigami showed that a transient random walk on a deterministic infinite tree T induces its trace process on the Martin boundary of T. In this paper, we will deal with trace processes on Martin boundaries of random trees instead of deterministic ones, and prove short time log-asymptotic of heat kernel estimates and estimates of mean displacements.
AB - In Kigami (2010), Kigami showed that a transient random walk on a deterministic infinite tree T induces its trace process on the Martin boundary of T. In this paper, we will deal with trace processes on Martin boundaries of random trees instead of deterministic ones, and prove short time log-asymptotic of heat kernel estimates and estimates of mean displacements.
UR - http://www.scopus.com/inward/record.url?scp=85062652523&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85062652523&partnerID=8YFLogxK
U2 - 10.1016/j.spa.2019.02.004
DO - 10.1016/j.spa.2019.02.004
M3 - Article
AN - SCOPUS:85062652523
VL - 130
SP - 584
EP - 604
JO - Stochastic Processes and their Applications
JF - Stochastic Processes and their Applications
SN - 0304-4149
IS - 2
ER -