The contact process as seen from a random walk

zbMath1391.60231arXiv1607.03410MaRDI QIDQ4644007

Stein Andreas Bethuelsen

Publication date: 30 May 2018

Full work available at URL: https://arxiv.org/abs/1607.03410

zbMATH Keywords

law of large numberscontact processcomplete convergence theoremrandom walks in dynamic random environment

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

Related Items (5)

Random walk on random walks: low densities ⋮ Random walk on the simple symmetric exclusion process ⋮ Symmetric exclusion as a random environment: invariance principle ⋮ Random walk on random walks: higher dimensions ⋮ Random walks on dynamical random environments with nonuniform mixing

Cites Work

• Unnamed Item
• Random walks in dynamic random environments and ancestry under local population regulation
• Random walks in dynamic random environments: a transference principle
• Asymptotic shape for the contact process in random environment
• Scaling of a random walk on a supercritical contact process
• A class of random walks in reversible dynamic environments: antisymmetry and applications to the east model
• Law of large numbers for a class of random walks in dynamic random environments
• Absolute continuity and weak uniform mixing of random walk in dynamic random environment
• Random walk on random walks
• Random walk driven by simple exclusion process
• The critical contact process seen from the right edge
• Edge fluctuations for the one dimensional supercritical contact process
• Contact interactions on a lattice
• Quenched invariance principle for random walk in time-dependent balanced random environment
• Quenched invariance principle for random walks with time-dependent ergodic degenerate weights
• Non-trivial linear bounds for a random walk driven by a simple symmetric exclusion process
• Law of large numbers for random walks on attractive spin-flip dynamics
• Random walks generated by equilibrium contact processes
• The critical contact process dies out

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