output
19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2018 · math.PRShow all

7 papers · 2 filters

math.PR2018★ 2 cited

Zero temperature limit for the Brownian directed polymer among Poissonian disasters

Ryoki Fukushima, Stefan Junk

We study a continuum model of directed polymer in random environment. The law of the polymer is defined as the Brownian motion conditioned to survive among space-time Poissonian di…

math.PR2018★ 1 cited

Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities

Xin Chen, Takashi Kumagai, Jian Wang

We establish two-sided heat kernel estimates for random conductance models with non-uniformly elliptic (possibly degenerate) stable-like jumps on graphs. These are long range count…

math.PR2018

Slowdown estimates for one-dimensional random walks in random environment with holding times

Amir Dembo, Ryoki Fukushima, Naoki Kubota

We consider a one dimensional random walk in random environment that is uniformly biased to one direction. In addition to the transition probability, the jump rate of the random wa…

math.PR2018★ 1 cited

Long range random walks and associated geometries on groups of polynomial growth

Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste +2

In the context of countable groups of polynomial volume growth, we consider a large class of random walks that are allowed to take long jumps along multiple subgroups according to…

math.PR2018★ 9 cited

Geometry of the random walk range conditioned on survival among Bernoulli obstacles

Jian Ding, Ryoki Fukushima, Rongfeng Sun +1

We consider a discrete time simple symmetric random walk among Bernoulli obstacles on , , where the walk is killed when it hits an obstacle. It is known that…

math.PR2018★ 1 cited

Large deviations for intersection measures of some Markov processes

Takahiro Mori

Consider an intersection measure of independent (possibly different) -symmetric Hunt processes up to time in a metric measure space with a Ra…

math.PR2018★ 8 cited

Random Conductance Models with Stable-like Jumps: Quenched Invariance Principle

Xin Chen, Takashi Kumagai, Jian Wang

We study the quenched invariance principle for random conductance models with long range jumps on , where the transition probability from to is, on average, comparabl…