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On harmonic measure for Lévy processes
L6vy processes harmonic measure Lipschitz domains L6vy measure
2009/9/22
Let (X,} be a Lkvy process in Rd, d k 2, with infinite
L6vy measure. If {X,) has no Gaussian component, then the process
docs not hit the boundary of Lipschitz domain S c Rd at the first exit
time ...
A relation between dimension of the harmonic measure，entropy and drift for a random walk on a hyperbolic space
harmonic measure entropy drift hyperbolic space
2009/3/19
We establish in this paper an exact formula which links the dimension of the harmonic measure, the asymptotic entropy and the rate of escape for a random walk on a discrete subgroup of the isometry gr...