A signal-recovery system: asymptotic properties, and construction of an infinite-volume process.

DOI10.1016/S0304-4149(01)00113-2zbMath1058.60093arXivmath/0012237OpenAlexW2077442576MaRDI QIDQ1766015

Jacob Van Den Berg, Bálint Tóth

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012237

zbMATH Keywords

long-range interactions1-D time-dependent percolationinfinite-volume dynamicson-off sequence

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Time-dependent percolation in statistical mechanics (82C43)

Related Items (9)

Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters ⋮ Generalizations of forest fires with ignition at the origin ⋮ Feller property of the multiplicative coalescent with linear deletion ⋮ Percolation with constant freezing ⋮ Random spatial growth with paralyzing obstacles ⋮ Frozen percolation on the binary tree is nonendogenous ⋮ A percolation process on the square lattice where large finite clusters are frozen ⋮ Mean field frozen percolation ⋮ A phase transition between endogeny and nonendogeny

Cites Work

• Mellin transforms and asymptotics: Finite differences and Rice's integrals
• The percolation process on a tree where infinite clusters are frozen

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