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A classical result in the theory of continuous-time stationary Gaussian processes gives sufficient conditions for the equivalence of the laws of two centered processes with
The fluid limits and large deviations asymptotics presented here show new phenomenon that we believe are shared by many processes similar to the Yule process, including random
We prove an almost sure limit theorem on the exact convergence rate of the maximum of standardized gaussian random walk increments.. On a conjecture of R´
Key words: Fractional difference-differential equations; Generalized Mittag-Leffler functions; Fractional Poisson processes; Processes with random time; Renewal function; Cox
Yaglom, Some classes of random fields in n-dimensional space, related to stationary random processes, Theory of Probability and its Applications 2
But since there are 3N stationary finite-intensity Poisson processes, with probability one, for almost all ω there is an interval [s(ω), s(ω) + 1] in the past of t such that there is
Key words: Parabolic Anderson model, catalytic random medium, exclusion process, Lya- punov exponents, intermittency, large deviations, graphical representation.. AMS 2000
The following lemma gives a lower bound on the range of a random homomorphism of C n,k with exactly ℓ non-constant layers.
