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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.

collaborating institutions
Showing 2017 · math.PRShow all

5 papers · 2 filters

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 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 induces its trace process on the Martin boundary of . 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…