Multi-Scaling of the $n$-point density function for coalescing Brownian motions

Abstract

This paper gives a derivation for the large time asymptotics of the $n$-point density function of a system of coalescing Brownian motions on $\mathbf{R}$.

8 pages

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• Reproduction time statistics and segregation patterns in growing populations
• Multiscaling in the sequence of areas enclosed by coalescing random walkers
• Constant flux relation for aggregation models with desorption and fragmentation
• Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process
• Interacting Particle Systems in Time-Dependent Geometries
• Gelation in input-driven aggregation
• Scaling properties of one-dimensional cluster-cluster aggregation with Levy diffusion