Research Institute for Mathematical Sciences, Kyoto University

output

19912020

most citedTopological Lattice Models in Four Dimensions

382 citations

researchers with a paper here

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

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Showing 2019 · math.PRShow all

6 papers · 2 filters

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…