Mixing properties in lattice systems

DOI10.1007/BF01609163zbMath0349.60105OpenAlexW2068925464MaRDI QIDQ1234971

Gerhard C. Hegerfeldt, Chiara R. Nappi

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf01609163

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (12)

Recurrence of random walks in the Ising spins ⋮ Critical point inequalities and scaling limits ⋮ Correlation inequalities and their applications ⋮ Renormalization group and probability theory ⋮ Some limit theorems for random fields ⋮ An invariance principle for lattices of dependent random variables ⋮ On the convergence of the kadanoff transformation towards trivial fixed points ⋮ Local central limit theorem for long-range two-body potentials at sufficiently high temperatures ⋮ Perturbation about the mean field critical point ⋮ Local and global Markoff fields ⋮ Entropy production by block variable summation and central limit theorems ⋮ A percolation problem for \(\{\pm 1\}\)-valued strongly mixing random fields on \({\mathbb Z}^ d\)

Cites Work

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• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Axioms for Euclidean Green's functions
• From Euclidean to relativistic fields and on the notion of Markoff fields
• Metrics on test function spaces for canonical field operators
• LOW TEMPERATURE STATES IN THE FALICOV-KIMBALL MODEL

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