Derives Boltzmann distributions for 1D spin models as stochastic processes, quantifies structure via excess entropy and statistical complexity, specifies mechanisms with epsilon-machines, and reports agreement with typical configurations.
Discovering Noncritical Organization: Statistical Mechanical, Information Theoretic, and Com- putational Views of Patterns in One-Dimensional Spin Systems
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What Is a Pattern in Statistical Mechanics? Formalizing Structure and Patterns in One-Dimensional Spin Lattice Models with Computational Mechanics
Derives Boltzmann distributions for 1D spin models as stochastic processes, quantifies structure via excess entropy and statistical complexity, specifies mechanisms with epsilon-machines, and reports agreement with typical configurations.