Coalescing systems of non-Brownian particles

DOI10.1007/s00440-012-0429-0zbMath1277.60172arXiv0912.0017OpenAlexW1994881325MaRDI QIDQ1955837

Ben Morris, Steven N. Evans, Arnab Sen

Publication date: 19 June 2013

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0017

zbMATH Keywords

locally compactSierpinski gasketBrownian webFeller processcoalescing particle system

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Sample path properties (60G17) Stable stochastic processes (60G52)

Related Items

Stochastic flows in the Brownian web and net, Reversible coalescing-fragmentating Wasserstein dynamics on the real line, Coalescing Brownian flows: a new approach, A Construction of the Stable Web

Cites Work

• Unnamed Item
• Unnamed Item
• Cluster formation in a stepping-stone model with continuous, hierarchically structured sites
• Construction of diffusion processes on fractals, \(d\)-sets, and general metric measure spaces
• Multi-scaling of the \(n\)-point density function for coalescing Brownian motions
• Dynamics for the Brownian web and the erosion flow
• Brownian motion on the Sierpinski gasket
• The true self-repelling motion
• Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types
• Diffusion processes on fractal fields: Heat kernel estimates and large deviations
• Reflection and coalescence between independent one-dimensional Brownian paths
• Clustering behavior of a continuous-sites stepping-stone model with {B}rownian migration
• The Brownian web: characterization and convergence
• A note on reflecting Brownian motions
• Continuum-sites stepping-stone models, coalescing exchangeable partitions and random trees
• Flows, coalescence and noise.
• On the duality between coalescing Brownian particles and the heat equation driven by Fisher-Wright noise
• Different clustering regimes in systems of hierarchically interacting diffusions
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Brownian motion on nested fractals
• On the Duality between Coalescing Brownian Motions
• Stepping-Stone Model with Circular Brownian Migration
• Classical potential theory and its probabilistic counterpart.