A sharp transition for the two-dimensional Ising percolation

DOI10.1007/BF01192961zbMath0794.60105MaRDI QIDQ1326261

Yasunari Higuchi

Publication date: 28 August 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

percolationIsing modelconnectivity functionGibbs stateinfinite cluster

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

On the speed of convergence for two-dimensional first passage Ising percolation., Constrained percolation in two dimensions, Random-cluster representation of the Blume-Capel model, Scaling relations for two-dimensional Ising percolation, Sublinearity of the travel-time variance for dependent first-passage percolation, Sharp thresholds for the random-cluster and Ising models, Sharpness of the percolation transition in the two-dimensional contact process, Approximate zero-one laws and sharpness of the percolation transition in a class of models including two-dimensional Ising percolation, The high temperature Ising model on the triangular lattice is a critical Bernoulli percolation model, Slab percolation and phase transitions for the Ising model, Dynamical stability of percolation for some interacting particle systems and \(\varepsilon\)-movability

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