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4 papers · 2 filters
Anomalous heat-kernel decay for random walk among bounded random conductances
Noam Berger, Marek Biskup, Christopher E. Hoffman +1
We consider the nearest-neighbor simple random walk on , , driven by a field of bounded random conductances . The conductance law is i.i.d. subject to…
Discrete approximations to reflected Brownian motion
Krzysztof Burdzy, Zhen-Qing Chen
In this paper we investigate three discrete or semi-discrete approximation schemes for reflected Brownian motion on bounded Euclidean domains. For a class of bounded domains in…
Non-local Dirichlet Forms and Symmetric Jump Processes
M. T. Barlow, R. F. Bass, Z. -Q. Chen. +1
We consider the symmetric non-local Dirichlet form given by \[ E (f,f)=\int_{R^d} \int_{R^d} (f(y)-f(x))^2 J(x,y) dx dy \] with the closure of the set of functio…
A special set of exceptional times for dynamical random walk on
Gideon Amir, Christopher Hoffman
Benjamini,Haggstrom, Peres and Steif introduced the model of dynamical random walk on Z^d. This is a continuum of random walks indexed by a parameter t. They proved that for d=3,4…