Let {W(t): t >= 0} be [mu]-Brownian motion in a real separable Banach space B, and let aT be a nondecreasing function of T for which (i) 0 = 0), (ii) aT/T is nonincreasing. We establish a Strassen limit theorem for the net {[xi]T: T >= 3}, whereGaussian measures abstract Wiener space Brownian motion in Banach spaces Strassen law of the iterated logarithm
AbstractLet μ be a Gaussian measure on a separable Banach space. We prove a tight link between the l...
Let W(t) be a standard Wiener process and let where at is a nondecreasing function of t with 0 [infi...
We consider lid Brownian motions, B(j)(t), where B(j)(0) has a rapidly decreasing, smooth density fu...
AbstractLet {W(t): t ≥ 0} be μ-Brownian motion in a real separable Banach space B, and let aT be a n...
Let $ { X_n : n geqq 1 } $ be a sequence of i.i.d. Banach space valued random variables with $ E[X_n...
AbstractWe prove some results regarding tight probability measures on real Frechet spaces and counta...
AbstractAn analogue of the law of the iterated logarithm for Brownian motion in Banach spaces is pro...
Let $B$ be a Brownian motion with paths in $C([0,1])$ and covariance kernel $K(s,t)=\min\{s,t\}$ and...
Let [xi]t, t [greater-or-equal, slanted] 0, be a d-dimensional Brownian motion. The asymptotic behav...
AbstractA class of iterated processes is studied by proving a joint functional limit theorem for a p...
AbstractLet ξt, t ⩾ 0, be a d-dimensional Brownian motion. The asymptotic behaviour of the random fi...
Averaging procedure; impulse dynamical systems; Markov systems; weak convergence The paper proposes...
A moderate deviation principle and a Strassen type law of the iterated logarithm for the small-time ...
Let Wt be a standard Brownian motion and define R(t, 1) = maxt-1[less-than-or-equals, slant]s[less-t...
AbstractA moderate deviation principle and a Strassen-type law of the iterated logarithm for the sma...
AbstractLet μ be a Gaussian measure on a separable Banach space. We prove a tight link between the l...
Let W(t) be a standard Wiener process and let where at is a nondecreasing function of t with 0 [infi...
We consider lid Brownian motions, B(j)(t), where B(j)(0) has a rapidly decreasing, smooth density fu...
AbstractLet {W(t): t ≥ 0} be μ-Brownian motion in a real separable Banach space B, and let aT be a n...
Let $ { X_n : n geqq 1 } $ be a sequence of i.i.d. Banach space valued random variables with $ E[X_n...
AbstractWe prove some results regarding tight probability measures on real Frechet spaces and counta...
AbstractAn analogue of the law of the iterated logarithm for Brownian motion in Banach spaces is pro...
Let $B$ be a Brownian motion with paths in $C([0,1])$ and covariance kernel $K(s,t)=\min\{s,t\}$ and...
Let [xi]t, t [greater-or-equal, slanted] 0, be a d-dimensional Brownian motion. The asymptotic behav...
AbstractA class of iterated processes is studied by proving a joint functional limit theorem for a p...
AbstractLet ξt, t ⩾ 0, be a d-dimensional Brownian motion. The asymptotic behaviour of the random fi...
Averaging procedure; impulse dynamical systems; Markov systems; weak convergence The paper proposes...
A moderate deviation principle and a Strassen type law of the iterated logarithm for the small-time ...
Let Wt be a standard Brownian motion and define R(t, 1) = maxt-1[less-than-or-equals, slant]s[less-t...
AbstractA moderate deviation principle and a Strassen-type law of the iterated logarithm for the sma...
AbstractLet μ be a Gaussian measure on a separable Banach space. We prove a tight link between the l...
Let W(t) be a standard Wiener process and let where at is a nondecreasing function of t with 0 [infi...
We consider lid Brownian motions, B(j)(t), where B(j)(0) has a rapidly decreasing, smooth density fu...
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