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Analytic properties of fractional Schrödinger semigroups and Gibbs measures for symmetric stable processes
Schrö dinger semigroups Gibbs measures symmetric stable processes
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2010/11/18
We establish a Feynman-Kac-type formula to define fractional Schr\"odinger operators for fractional Kato-decomposable potentials as self-adjoint operators. In this functional integral representation ...
Feynman-Kac Penalisations of Symmetric Stable Processes
symmetric stable process Feynman-Kac functional penalisation Kato measure
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2010/2/24
In K. Yano, Y. Yano and M. Yor (2009), limit theorems for the one-dimensional symmetric α-stable process normalized by negative (killing) Feynman-Kac functionals were studied. We consider the same pro...
Properties of Green function of symmetric stable processes
Properties of Green function symmetric stable processes
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2009/9/22
We study the Green function G,(x, y) of symmetric
w-stable processes in for an open set D (0 < a < 2, d 3 3). Our main
result gives the upper and the lower bound estimates of G,(x, y) for
a bounded...
Exist time and Green function of cone for symmetric stable processes
symmetric stable process harmonic measure Green function exit time cone
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2009/9/22
We obtain estimates of the harmonic measure and the
expectation of the exit time of a bounded cone for symmetric a-stable
processes XI in Rd (a~(O,2)d, 2 3). This enables us to study the
asymptotic...
The estimates for the Green Function in Lipschitz domains for the symmetric stable processes
Green function Lipschitz domain Poisson kernel boundary Harnack principle
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2009/9/21
We give sharp global estimates for the Green function,
Martin kernel and Poisson kernel in Lipschitz domains for symmetric
a-stable processes. We give some applications of the estimates.