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math-ph2026
A Multi-Body Dobrushin-Sokal Criterion -- Part II
Jan Philipp Neumann
We prove a sufficient condition for the absolute convergence of Mayer cluster expansions of log-partition and correlation functions applicable to lattice gases with possibly comple…
math-ph2025
A Multi-Body Dobrushin-Sokal Criterion -- Part I
Jan Philipp Neumann
We derive a sufficient condition for zero-freeness of partition functions applicable to lattice gases with possibly complex-valued multi-body interactions. This includes the case o…
math-ph2024
Hierarchical Cubes: Gibbs Measures and Decay of Correlations
Sabine Jansen, Jan Philipp Neumann
We study a hierarchical model of non-overlapping cubes of sidelengths , . The model allows for cubes of arbitrarily small size and the activities need not be…