Stochastic flows in the Brownian web and net

DOI10.1090/S0065-9266-2013-00687-9zbMath1303.82028arXiv1011.3895OpenAlexW4213032975MaRDI QIDQ2925685

Jan M. Swart, Rongfeng Sun, Emmanuel Schertzer

Publication date: 17 October 2014

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3895

zbMATH Keywords

linear systemrandom walk in random environmentBrownian webHowitt-Warren flowmeasure-valued processBrownian netstochastic flow of kernelsfinite graph representation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (20)

The continuum disordered pinning model ⋮ Coalescing directed random walks on the backbone of a 1 +1-dimensional oriented percolation cluster converge to the Brownian web ⋮ Random dynamical systems generated by coalescing stochastic flows on ℝ ⋮ Stationary points in coalescing stochastic flows on \(\mathbb{R}\) ⋮ The Brownian Castle ⋮ Coalescing-fragmentating Wasserstein dynamics: particle approach ⋮ The stepping stone model in a random environment and the effect of local heterogeneities on isolation by distance patterns ⋮ The Brownian Web as a random \(\mathbb{R} \)-tree ⋮ Reversible coalescing-fragmentating Wasserstein dynamics on the real line ⋮ Random walk on nonnegative integers in beta distributed random environment ⋮ The Bethe ansatz for sticky Brownian motions ⋮ Orthogonal intertwiners for infinite particle systems in the continuum ⋮ Time-reversal of coalescing diffusive flows and weak convergence of localized disturbance flows ⋮ Brownian net with killing ⋮ Marking \((1, 2)\) points of the Brownian web and applications ⋮ Large deviations for sticky Brownian motions ⋮ Sticky Particles and Stochastic Flows ⋮ Edwards-Wilkinson fluctuations in the Howitt-Warren flows ⋮ A phase transition between endogeny and nonendogeny ⋮ Moderate deviations for diffusion in time dependent random media

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