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A Strong Law of Large Numbers for Super-stable Processes.
Aulbach et al. (2012) introduced some mathematical framework for extreme value theory in the space of continuous functions on compact intervals. Continuous max-stable processes on [0,1] were character...
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...
Dichotomies for certain product measures and stable processes
Malliavin calculus for stable processes on Heisenberg group。
Integrability of stable processes
A new notion of operator-stable processes is introduced and operator fractional stable motions are discussed as examples of operator-stable processes.
In this paper we present a method of computer investigation of chaotic behavior of stationary a-stable stochastic processes, i.e., an important class of processes with cadag trajectories. Our resul...
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...
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...
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.
Let X = (X,,Z E TN = [0, 1IN)b e a symmetric a-stable process, 1 < a < 2. Based on a Kolmogorov type continuity theorem we show Holder conditions in I?-norms for the local time of X with respect to...
Minimal integral representations are defined for general stochastic processes and completely characterized for stable processes (symmetric and asymmetric) In the stable case, minimal representations...
The famous connection between metric entropy and small deviation probabilities of Gaussian processes was discovered by Kuelbs and Li in [6] and completed by Li and Linde in [9]. The question whethe...
In the paper we prove the lower bound estimate &cedil;D 2 −&cedil;D 1 ­ c(&cedil;D 1 )−d=&reg;(diamD)−d−&reg; for the spectral gap of the Dirichlet fractional Laplacia...

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