Random dynamical systems generated by coalescing stochastic flows on ℝ

DOI10.1142/S0219493718500314zbMath1394.37081arXiv1705.00059OpenAlexW2743817226MaRDI QIDQ4584282

G. V. Riabov

Publication date: 29 August 2018

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00059

zbMATH Keywords

coalescencestochastic flowrandom dynamical system

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Generation, random and stochastic difference and differential equations (37H10) General theory of random and stochastic dynamical systems (37H05)

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Cites Work

• Unnamed Item
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• Coalescing and noncoalescing stochastic flows in \(R_ 1\)
• Coalescing stochastic flows on the real line
• The true self-repelling motion
• Perfect cocycles through stochastic differential equations
• The Brownian web: characterization and convergence
• Flows, coalescence and noise.
• Weak convergence of the localized disturbance flow to the coalescing Brownian flow
• Stochastic flows in the Brownian web and net
• It\^o-Wiener expansion for functionals of the Arratia's flow $n$-point motion
• Constructing nonhomeomorphic stochastic flows
• Entropy of stochastic flows
• LARGE DEVIATIONS FOR FLOWS OF INTERACTING BROWNIAN MOTIONS
• Some remarks on a Wiener flow with coalescence
• Coalescing Brownian flows: a new approach
• A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT