Continuum limit for some growth models. II.

DOI10.1214/aop/1015345605zbMath1081.82016OpenAlexW2073873184MaRDI QIDQ1872226

Fraydoun Rezakhanlou

Publication date: 6 May 2003

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1015345605

zbMATH Keywords

Hamilton-Jacobi equationstochastic growth models

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Cites Work

• Unnamed Item
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• A uniqueness result for the semigroup associated with the Hamilton- Jacobi-Bellman operator
• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Central limit theorem for stochastic Hamilton-Jacobi equations
• Existence of hydrodynamics for the totally asymmetric simple \(K\)-exclusion process
• On the weak convergence of departures from an infinite series of \(\cdot{}/M /1\) queues
• Continuum limit for some growth models.
• Processus des misanthropes
• On Hopf's formulas for solutions of Hamilton-Jacobi equations
• Asymptotic results for the number of multidimensional partitions of an integer and directed compact lattice animals