Diffusive bounds for the critical density of activated random walks

zbMath1483.60143arXiv1907.12694MaRDI QIDQ5026484

Leonardo T. Rolla, Bruno Schapira, Amine Asselah

Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/1907.12694

zbMATH Keywords

critical densityactivated random walks

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Cites Work

• Absorbing-state phase transition in biased activated random walk
• Absorbing-state phase transition for driven-dissipative stochastic dynamics on \(\mathbb Z\)
• Absorbing-state transition for stochastic sandpiles and activated random walks
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• Activated random walkers: facts, conjectures and challenges
• Non-fixation for biased activated random walks
• Critical density of activated random walks on transitive graphs
• Avalanches in critical activated random walks
• Activated random walk on a cycle
• Recurrence and density decay for diffusion-limited annihilating systems
• Non-fixation for conservative stochastic dynamics on the line
• Universality and sharpness in activated random walks
• Non-equilibrium phase transitions: activated random walks at criticality
• Uniform threshold for fixation of the stochastic sandpile model on the line
• Nonfixation for Activated Random Walks

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