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SPECTRAL GAP ESTIMATE FOR STABLE PROCESSES ON ARBITRARY BOUNDED OPEN SETS
Isotropic stable process spectral gap
2009/9/18
In the paper we prove the lower bound estimate ¸D
2 −¸D
1
c(¸D
1 )−d=®(diamD)−d−® for the spectral gap of the Dirichlet fractional
Laplacia...
On the spectral gap of the Kac walk and other binary collision processes
Spectral gap Conservative dynamics Exclusion processes
2009/6/12
On the spectral gap of the Kac walk and other binary collision processes.
We show that the spectral gap for the interchange process (and the symmetric exclusion process) in a d-dimensional box of side length L is asymptotic to π2/L2. This gives more evidence in favor of Ald...