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Recurso libre

Wiener Soccer and Its Generalization
Baryshnikov, Yuliy; University of Osnabrueck

Formato:	Peer-reviewed Article,
Enlaces:	The trajectory of the ball in a soccer game is modelled by the Brownian motion on a cylinder, subject to elastic reflections at the boundary points (as proposed in [KPY]). The score is then the number of windings of the…
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

Recurso libre

The Law of Large Numbers for $U$-statistics Under Absolute Regularity
Arcones, Miguel A.; University of Texas

Formato:	Peer-reviewed Article,
Enlaces:	We prove the law of large numbers for $U$-statistics whose underlying sequence of random variables satisfies an absolute regularity condition ($\beta$-mixing condition) under suboptimal conditions.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

Recurso libre

Weak Convergence of Reflected Brownian Motions
Burdzy, Krzysztof; University of Washington - Chen, Zhen-Qing; Cornell University

Formato:	Peer-reviewed Article,
Enlaces:	We show that if a sequence of domains $D_k$ increases to a domain $D$ then the reflected Brownian motions in $D_k$'s converge to the reflected Brownian motion in $D$, under mild technical assumptions.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

Recurso libre

Loop-Erased Walks Intersect Infinitely Often in Four Dimensions
Lawler, Gregory F.; Duke University

Formato:	Peer-reviewed Article,
Enlaces:	In this short note we show that the paths two independent loop-erased random walks in four dimensions intersect infinitely often. We actually prove the stronger result that the cut-points of the two walks intersect infinitely often.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

Recurso libre

The Best Bounds in a Theorem of Russell Lyons
Marchal, Philippe; Université Paris 6

Formato:	Peer-reviewed Article,
Enlaces:	We sharpen a bound in a theorem of Russell Lyons for percolation on a tree and associated random walk.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

Recurso libre

Percolation Dimension of Brownian Motion in $R^3$
Fargason, Chad; Duke University

Formato:	Peer-reviewed Article,
Enlaces:	Let $B(t)$ be a Brownian motion in $R^3$. A subpath of the Brownian path $B[0,1]$ is a continuous curve $\gamma(t)$, where $\gamma[0,1] \subseteq B[0,1]$ , $\gamma(0) = B(0)$, and $\gamma(1) = B(1)$. It is well-known that any subset $S$ of…
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

Recurso libre

Geometric Evolution Under Isotropic Stochastic Flow
Cranston, Michael; University of Rochester - Le Jan, Yves; Université de Paris, Sud

Formato:	Peer-reviewed Article,
Enlaces:	Consider an embedded hypersurface $M$ in $R^3$. For $\Phi_t$ a stochastic flow of differomorphisms on $R^3$ and $x \in M$, set $x_t = \Phi_t (x)$ and $M_t = \Phi_t (M)$. In this paper we will assume $\Phi_t$ is an isotropic…
Fecha:	1998-01-01
Recurso:	Electronic journal of probability

Recurso libre

VOL 3 NO 1 COVER PAGE
Bo Mou; San Jose State University

Recurso libre

VOL 3 NO 1 INFORMATION PAGE
Bo Mou; San Jose State University

Recurso libre

10.

VOL 3 NO 1 CONTENTS PAGE
Bo Mou; San Jose State University