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On local behaviour of the phase separation line in the 2D Ising model (1998)
Journal Article
Hryniv, O. (1998). On local behaviour of the phase separation line in the 2D Ising model. Probability Theory and Related Fields, 110(1), 91-107. https://doi.org/10.1007/s004400050146

The aim of this note is to discuss some statistical properties of the phase separation line in the 2D low-temperature Ising model. We prove the functional central limit theorem for the probability distributions describing fluctuations of the phase bo... Read More about On local behaviour of the phase separation line in the 2D Ising model.

Entropy bounds for endomorphisms commuting with K actions (1998)
Journal Article
Morris, G., & Ward, T. (1998). Entropy bounds for endomorphisms commuting with K actions. Israel Journal of Mathematics, 106(1), 1-12. https://doi.org/10.1007/bf02773458

Shereshevsky has shown that a shift-commuting homeomorphism from the two-dimensional full shift to itself cannot be expansive, and asked if such a homeomorphism can have finite positive entropy. We formulate an algebraic analogue of this problem, and... Read More about Entropy bounds for endomorphisms commuting with K actions.