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LIMIT THEOREMS FOR LOCALLY PERTURBED PLANAR LORENTZ PROCESSES
LOCALLY PERTURBED PLANAR PROCESSES
2015/9/29
Modify the scatterer conguration of a planar, nitehorizon Lorentz process in a bounded domain. Sinai asked in
1981 whether for the diffusively scaled variant of the modied
process convergence to Bro...
Anomalous Shock Displacement Probabilities for a Perturbed Scalar Conservation Law
Universite Paris VII Stanford University
2012/6/27
We consider an one-dimensional conservation law with random space-time forcing and calculate using large deviations the exponentially small probabilities of anomalous shock profile displacements. Unde...
Locally Perturbed Random Walks with Unbounded Jumps
Random walk local impurities infinite horizon weak convergence Brownian motion local limit theorem
2010/12/8
In [17], D. Szász and A. Telcs have shown that for the diffusively scaled,simple symmetric random walk, weak convergence to the Brownian motion holds even in the case of local impurities if d ≥ 2.