CONDITIONS FOR THE ABSENCE OF PHASE TRANSITIONS IN ONE-DIMENSIONAL CLASSICAL SYSTEMS

DOI10.1070/SM1974v022n01ABEH001684zbMath0307.60081OpenAlexW2085429177MaRDI QIDQ4064831

Roland Lvovich Dobrushin

Publication date: 1975

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1974v022n01abeh001684

Mathematics Subject Classification ID

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

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Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions ⋮ Strict convexity of the free energy of the canonical ensemble under decay of correlations ⋮ Decay of correlations and uniqueness of the Infinite-Volume Gibbs measure of the Canonical ensemble of 1d-lattice systems ⋮ Continuity of type-I intermittency from a measure-theoretical point of view ⋮ On the absence of phase transition in continuous one-dimensional Gibbs systems with no hard core

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