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math.DS2022★ 1 cited
Boundary complexity and surface entropy of 2-multiplicative integer systems on
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai
In this article, we introduce the concept of the boundary complexity and prove that for a 2-multiplicative integer system (2-MIS) on (or on $\m…
math.PR2022
Thermodynamic formalism and large deviation principle of multiplicative Ising models
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai
The aim of this study is tree-fold. First, we investigate the thermodynamics of the Ising models with respect to 2-multiple Hamiltonians. This extends the previous results of [Chaz…