The Brownian Web

DOI10.1073/pnas.252619099zbMath1069.60068arXivmath/0203184OpenAlexW1975160658WikidataQ34414720 ScholiaQ34414720MaRDI QIDQ5460744

Marco Isopi, Charles M. Newman, Krishnamurthi Ravishankar, Luiz Renato G. Fontes

Publication date: 19 July 2005

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203184

Mathematics Subject Classification ID

Brownian motion (60J65)

Related Items (12)

Stochastic flows in the Brownian web and net ⋮ A drainage network with dependence and the Brownian web ⋮ Convergence to the Brownian web for a generalization of the drainage network model ⋮ Two directed non-planar random networks and their scaling limits ⋮ A geometrical structure for an infinite oriented cluster and its uniqueness ⋮ The Brownian net ⋮ Properties of strong random operators generated by the Arratia flow ⋮ Three examples of Brownian flows on \(\mathbb{R}\) ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ The Brownian web: characterization and convergence ⋮ THE FULL BROWNIAN WEB AS SCALING LIMIT OF STOCHASTIC FLOWS ⋮ Scaling Limit for a Drainage Network Model

Cites Work

• Coalescing and noncoalescing stochastic flows in \(R_ 1\)
• Clustering and dispersion rates for some interacting particle systems of \(Z^1\)
• Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\).
• Additive set-valued Markov processes and graphical methods
• The true self-repelling motion
• Expansions and contractions of isotropic stochastic flows of homeomorphisms
• Reflection and coalescence between independent one-dimensional Brownian paths
• Hölder regularity and dimension bounds for random curves
• Unnamed Item

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