The Brownian web.

Dynamics for the Brownian Web and the Erosion Flow

Abstract. The Brownian web is a random object that occurs as the scaling limit of an infinite system of coalescing random walks. Perturbing this system of random walks by, independently at each point in space-time, resampling the random walk increments, leads to some natural dynamics. In this paper we consider the corresponding dynamics for the Brownian web. In particular, pairs of coupled Brow...

2 The Brownian Web

Arratia, and later Tóth and Werner, constructed random processes that formally correspond to coalescing one-dimensional Brownian motions starting from every space-time point. We extend their work by constructing and characterizing what we call the Brown-ian Web as a random variable taking values in an appropriate (metric) space whose points are (compact) sets of paths. This leads to general con...

00 2 The Brownian Web

Arratia, and later Tóth and Werner, constructed random processes that formally correspond to coalescing one-dimensional Brownian motions starting from every space-time point. We extend their work by constructing and characterizing what we call the Brown-ian Web as a random variable taking values in an appropriate (metric) space whose points are (compact) sets of paths. This leads to general con...

Investigation of Brownian Motion of CuO-Water Nanofluid in a Porous Cavity with Internal Heat Generation by Using of LTNE Model

In this paper, the effect of the Brownian term in natural convection of CuO-Water nanofluid inside a partially filled porous cavity, with internal heat generation has been studied. It is assumed that the viscosity and thermal conductivity of nanofluid consists of a static part and a Brownian part of which is a function of temperature and the volume fraction of nanofluid. Because of internal hea...

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion