A Construction of the Stable Web

zbMath1416.82018arXiv1803.06739MaRDI QIDQ5742627

Glauco Valle, Thomas S. Mountford, Krishnamurthi Ravishankar

Publication date: 15 May 2019

Full work available at URL: https://arxiv.org/abs/1803.06739

zbMATH Keywords

weak convergencestable processesHausdorff topology

Mathematics Subject Classification ID

Brownian motion (60J65) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Processes in random environments (60K37)

Related Items (1)

Two directed non-planar random networks and their scaling limits

Cites Work

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• The Brownian net and selection in the spatial \(\Lambda\)-Fleming-Viot process
• Clustering and dispersion rates for some interacting particle systems of \(Z^1\)
• Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\).
• Convergence of coalescing nonsimple random walks to the Brownian web
• The Brownian web: characterization and convergence
• Coalescing systems of non-Brownian particles
• Coarsening, nucleation, and the marked Brownian web
• Coalescing Brownian flows: a new approach

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