Gaussian structure in coalescing stochastic flows

TL;DR

This paper studies the Gaussian structure underlying coalescing stochastic flows, specifically analyzing the Arratia flow, and establishes a central limit theorem for multiple integrals with respect to its point measure.

Contribution

It introduces a Gaussian framework for the Arratia flow's point measure and proves a central limit theorem for multiple integrals, advancing understanding of stochastic flow structures.

Findings

Established a Gaussian structure in Arratia flow

Proved a central limit theorem for multiple integrals

Enhanced theoretical understanding of coalescing stochastic flows

Abstract

In the paper we consider the point measure that corresponds to Arratia flow. The central limit theorem of the multiple integrals with respect to this measure was obtained.