Rate of growth of the coalescent set in a coalescing stochastic flow

DOI10.1080/17442508808833505zbMath0648.60073OpenAlexW2058430981MaRDI QIDQ3793458

Richard W. R. Darling

Publication date: 1988

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/4449

zbMATH Keywords

stochastic flowBrownian motionscoalescing isotropic flowscoalescing setnonhomeomorphic stochastic flowstime-homogeneous independent increments

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics induced by flows and semiflows (37C10) Stochastic processes (60G99) Stochastic analysis (60H99) Markov processes (60J99)

Related Items (4)

Superprocesses of stochastic flows ⋮ Integration of Brownian vector fields. ⋮ Ergodicity of a measure-valued Markov chain induced by random transformations ⋮ Expansions and contractions of isotropic stochastic flows of homeomorphisms

Cites Work

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• Coalescing and noncoalescing stochastic flows in \(R_ 1\)
• Isotropic stochastic flows
• Sur la saucisse de Wiener et les points multiples du mouvement Brownien. (On the Wiener sausage and the multiple points of Brownian motion)
• Diffusive clustering in the two dimensional voter model
• Exit probability estimates for martingales in geodesic balls, using curvature
• The size of the region occupied by one type in an invasion process

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