Sufficient conditions for boundedness and continuity are obtained for stochastically continuous infinitely divisible processes, without Gaussian component, {Y (t), t ∈ T}, where T is a compact metric… (More)

Let X = {X(t), t ∈ R+} be a real valued symmetric Lévy process with continuous local times {Lt , (t, x) ∈ R+ × R} and characteristic function EeiλX(t) = e−tψ(λ). Let σ 0(x− y) = 4 π ∞ ∫ 0 sin λ(x−y)… (More)

Any views or conclusions contained in this Memorandum should not be interpreted as representing the official opinion or policy of ARPA. DDC AVAILABILITY NOTICE Qualified requesters may obtain copies… (More)

Sufficient conditions are obtained for the continuity of renormalized self-intersection local times for the multiple intersections of a large class of strongly symmetric Lévy processes in Rm, m = 1,… (More)

Different extensions of an isomorphism theorem of Dynkin are developed and are used to study two distinct but related families of functionals of Lévy processes; n-fold “near-intersections” of a… (More)

The diagnosis of myocardial infarction (MI) in the presence of left bundle branch block (LBBB) or during ventricular pacing (VP) is challenging because of inherent changes in the sequence of… (More)

Two results are obtained concerning the continuity and local boundedness of stochastic processes of the form (f ∗ Z)(t) = ∫ t 0 f(t− s) dZ(s) t ≥ 0 where f : [0,∞) 7→ R is a continuous function with… (More)

Let η = (η1, . . . , ηn) be an R n valued Gaussian random variable and c = (c1, . . . , cn) a vector in R. We give necessary and sufficient conditions for ((η1 + c1α) , . . . , (ηn + cnα) ) to be… (More)