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On the rate of convergence to Brownian motion of the partial sums of infima of independent random variables。
The paper identifies the Dirichlet form of the "path- ' wise-defined" reflected Brownian motion on the Sierpiriski gasket with the Dirichlet form on the Sierpiliski gasket introduced by Fukushima a...
A Brownian motion on the Sierpiriski gasket gets absorbed at the boundary of a cloud of balls with centers distributed according to an independent Poisson law. The aim of this paper is to investiga...
A variational representation for positive functionals of a Hilbert space valued Wiener process (w(.)is) p roved. This representation is then used to prove a large deviations principle for the family...
We study the heat diffusion in a domain with an obstacle inside. More precisely, we are interested in the quantity of heat in so far as a function of the position of the heat source at time 0. This ...
We consider the problem of estimating the tail of the distribution of the supremum of scaled Brownian motion ~ ( j ( t )p)ro - cesses with hear drift. I Using the local time technique we obtain asy...
In this paper, we consider some distributions of maxima of excursions and related variables for standard random walk and Brownian motion. We discuss the infinite divisibility properties of these di...
We investigate the fine structure of the complex hyperbolic Brownian motion in the unit ball of Cn. It turns out that the generator of the process is locally very close to the generator of some simp...
In this short note, we show how to use concentration inequalities in order to build exact confidence intervals for the Hurst parameter associated with a one-dimensional fractional Brownian motion.
The purpose of this note is to improve this convergence to a functional central limit theorem,with respect to the uniform topology,and so complete the solution to a conjecture in the literature with...
This paper is the first part of our survey on various results about the distribution of exponential type Brownian functionals defined as an integral over time of geometric Brownian motion. Several rel...
This article summarizes the various ways one may use to construct the Skew Brownian motion, and shows their connections. Recent applications of this process in modelling and numerical simulation motiv...
Let $B$ be a two dimensional Brownian motion and let the frontier of $B[0,1]$ be defined as the set of all points in $B[0,1]$ that are in the closure of the unbounded connected component of its comple...
Fractional Brownian motion belongs to a class of long memory Gaussian processes that can be represented as linear functionals of an infinite dimensional Markov process. This leads naturally to: 1. A...

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