Research Institute for Mathematical Sciences, Kyoto University

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19912020

most citedTopological Lattice Models in Four Dimensions

382 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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37 papers · 1 filter

math.PR2020

On large deviation rate functions for a continuous-time directed polymer in weak disorder

Ryoki Fukushima, Stefan Junk

We show that the endpoint large deviation rate function for a continuous-time directed polymer agrees with the rate function of the underlying random walk near the origin in the wh…

math.PR2020★ 6 cited

$L^{p}$ -Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces

Takahiro Mori

In this paper, we discuss relationships between the continuous embeddings of Dirichlet spaces $(F, E_{1})$ into Lebesgue spaces and the integrability of the assoc…

math.PR2020★ 5 cited

Quenched Invariance Principle for a class of random conductance models with long-range jumps

Marek Biskup, Xin Chen, Takashi Kumagai +1

We study random walks on $Z^{d}$ (with $d \geq 2$ ) among stationary ergodic random conductances ${C_{x, y} : x, y \in Z^{d}}$ that permit jumps of arbitrary length. Our…

math.PR2020★ 12 cited

Scaling limits of the three-dimensional uniform spanning tree and associated random walk

Omer Angel, David A. Croydon, Sarai Hernandez-Torres +1

We show that the law of the three-dimensional uniform spanning tree (UST) is tight under rescaling in a space whose elements are measured, rooted real trees, continuously embedded…

math.PR2019★ 4 cited

Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles

Jian Ding, Ryoki Fukushima, Rongfeng Sun +1

Place an obstacle with probability $1 - p$ independently at each vertex of $Z^{d}$ and consider a simple symmetric random walk that is killed upon hitting one of the obstacles.…

math.PR2019★ 3 cited

Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms

Zhen-Qing Chen, Takashi Kumagai, Jian Wang

In this paper, we consider the following symmetric Dirichlet forms on a metric measure space $(M, d, μ)$ : $$\mathcal{E}(f,g) = \mathcal{E}(^{(c)}(f,g)+\int_{M\times M} (f(x)-f(y))(g(…

math.PR2019★ 5 cited

Quenched tail estimate for the random walk in random scenery and in random layered conductance II

Jean-Dominique Deuschel, Ryoki Fukushima

This is a continuation of our earlier work [Stochastic Processes and their Applications, 129(1), pp.102--128, 2019] on the random walk in random scenery and in random layered condu…

math.PR2019★ 10 cited

Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures

David A. Croydon, Makiko Sasada

The box-ball system (BBS) is a simple model of soliton interaction introduced by Takahashi and Satsuma in the 1990s. Recent work of the authors, together with Tsuyoshi Kato and Sat…

math.PR2019★ 1 cited

Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phase

Jian Ding, Ryoki Fukushima, Rongfeng Sun +1

We consider a discrete time biased random walk conditioned to avoid Bernoulli obstacles on $Z^{d}$ ( $d \geq 2$ ) up to time $N$ . This model is known to undergo a phase transi…

math.PR2019★ 2 cited

Biased random walk on the trace of biased random walk on the trace of...

David Croydon, Mark Holmes

We study the behaviour of a sequence of biased random walks X(i), i>=0 on a sequence of random graphs, where the initial graph is Zd and otherwise the graph for the i-th walk is th…

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 $Z^{d}$ , $d \geq 2$ , 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 $ℓ_{t}^{IS}$ of $p$ independent (possibly different) $m$ -symmetric Hunt processes up to time $t$ in a metric measure space $E$ 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 $Z^{d}$ , where the transition probability from $x$ to $y$ is, on average, comparabl…

math.PR2017

Cutoff for lamplighter chains on fractals

Amir Dembo, Takashi Kumagai, Chikara Nakamura

We show that the total-variation mixing time of the lamplighter random walk on fractal graphs exhibit sharp cutoff when the underlying graph is transient (namely of spectral dimens…

math.PR2017★ 2 cited

Eigenvalue fluctuations for lattice Anderson Hamiltonians: Unbounded potentials

Marek Biskup, Ryoki Fukushima, Wolfgang Koenig

We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approximations of a smooth Euclidean domain and study the behavior of its lowest-lying e…

math.PR2017★ 3 cited

On properties of optimal paths in first passage percolation

Shuta Nakajima

In this paper, we study some properties of optimal paths in the first passage percolation on $Z^{d}$ and show the followings: (1) the number of optimal paths has an exponential grow…

math.PR2017

Jump processes on the boundaries of random trees

Yuki Tokushige

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 proc…

math.PR2017★ 5 cited

Elliptic Harnack inequalities for symmetric non-local Dirichlet forms

Zhen-Qing Chen, Takashi Kumagai, Jian Wang

We study relations and characterizations of various elliptic Harnack inequalities for symmetric non-local Dirichlet forms on metric measure spaces. We allow the scaling function be…

math.PR2016★ 8 cited

Quenched large deviations for simple random walks on percolation models including long-range correlations

Noam Berger, Chiranjib Mukherjee, Kazuki Okamura

We prove a {\it{quenched}} large deviation principle (LDP) for a simple random walk on a supercritical percolation cluster (SRWPC) on $Z^{d}$ ( $d \geq 2$ ). The models under in…

math.PR2015★ 2 cited

Lamplighter random walks on fractals

Takashi Kumagai, Chikara Nakamura

We consider on-diagonal heat kernel estimates and the laws of the iterated logarithms for a switch-walk-switch random walk on a lamplighter graph under the condition that the rando…

On large deviation rate functions for a continuous-time directed polymer in weak disorder

Lp-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces

Quenched Invariance Principle for a class of random conductance models with long-range jumps

Scaling limits of the three-dimensional uniform spanning tree and associated random walk

Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles

Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms

Quenched tail estimate for the random walk in random scenery and in random layered conductance II

Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures

Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phase

Biased random walk on the trace of biased random walk on the trace of...

Zero temperature limit for the Brownian directed polymer among Poissonian disasters

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

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

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

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

Large deviations for intersection measures of some Markov processes

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

Cutoff for lamplighter chains on fractals

Eigenvalue fluctuations for lattice Anderson Hamiltonians: Unbounded potentials

On properties of optimal paths in first passage percolation

Jump processes on the boundaries of random trees

Elliptic Harnack inequalities for symmetric non-local Dirichlet forms

Quenched large deviations for simple random walks on percolation models including long-range correlations

Lamplighter random walks on fractals

$L^{p}$ -Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces