Hyperscaling inequalities for percolation

DOI10.1007/BF01221396zbMath0627.60101OpenAlexW2023288417MaRDI QIDQ1092534

Hal Tasaki

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01221396

zbMATH Keywords

percolationIsing ferromagnetscritical exponent inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items

On the upper critical dimension of lattice trees and lattice animals ⋮ The triangle condition for percolation ⋮ Unnamed Item ⋮ Generalized approach to the non-backtracking lace expansion ⋮ Upper bounds on the one-arm exponent for dependent percolation models ⋮ High-dimensional near-critical percolation and the torus plateau ⋮ Mean-field critical behaviour for percolation in high dimensions ⋮ Mean-Field Bound on the 1-Arm Exponent for Ising Ferromagnets in High Dimensions ⋮ Percolation of finite clusters and infinite surfaces ⋮ Power-law bounds for critical long-range percolation below the upper-critical dimension ⋮ Scaling inequalities for oriented percolation ⋮ Mean-field critical behaviour for correlation length for percolation in high dimensions

Cites Work

• Unnamed Item
• Tree graph inequalities and critical behavior in percolation models
• Scaling relations for 2D-percolation
• Sharpness of the phase transition in percolation models
• Correlation length and its critical exponent for percolation processes
• Inequalities with applications to percolation and reliability
• The Algebra of Estimation in Linear Econometric Systems∗