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Convergence of the dynamical discrete web to the dynamical Brownian web

, Krishnamurthi Ravishankar
Published in arXiv
2022
Abstract

In this paper we study the convergence of dynamical discrete web (DyDW) to the dynamical Brownian web (DyBW) in the path space topology. We show that almost surely the DyBW has RCLL paths taking values in an appropriate metric space and as a sequence of RCLL paths, the scaled dynamical discrete web converges to the DyBW. This proves weak convergence of the DyDW process to the DyBW process

About the journal
PublisherarXiv
Open AccessNo