StatisticalMechanics

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Contents

• Non-Abelian correlation inequalities and stable determinantal polynomials
• Adamaszek, hard squares on cylinders
• On the order of lazy cellular automata
• Alofi and Dukes, the lacking polynomial of the complete bipartite graph
• Integrable Cellular Automata on Finite Fields of Order 2^n
• Set-Theoretical Solutions of the n-Simplex Equation
• Joint Gaussian conditional information and net information difference
• Brešar, Hedžet and Herrman, bootstrap percolation in direct products
• Butera–Federbush–Pernici, virial positivity and matchings on graphs
• Cubic site percolation and complementary phases
• Planar non-coexistence with explicit adjacency and energy
• Davies, Sandhu, Seo and Tan, multivariate local occupancy
• Fukai, Yoshida and Katsura, dissipative free fermions in disguise
• Explorations of Ternary Cellular Automata and Ternary Density Classification Problems
• Explicit solutions of elementary cellular automata
• Mixed memories and the proposed complete hierarchy
• Finite exponential-family comparison
• Jianu and Dăuş 2025, Dyck-type lattice paths
• Kade, box boundary conditions for the six-vertex model
• Classical Gaussian determinant information
• lee2026longrangeswap
• Lee and Seo, multivariate independence polynomials
• The block Bloch component of the HKNN state
• Reaction entropy and the level of the state
• A new phenomenological definition of entropy and application to black holes
• OEIS A026023
• Mathar 2024, non-bonding dominoes
• Discrete renewal minorants
• Lattice return probability and a specified transport law
• OEIS A266285
• OEIS A267681 and A267680
• OEIS A266614
• Finite Gaussian and log-determinant identities