Guan-Yu Lai

activity

20192026

most citedBoundary complexity and surface entropy of 2-multiplicative integer systems on

N^{d}

1 citations · 1 across the 14 of their papers we have counts for

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math.PR2024

Hausdorff dimensions of irreducible Markov hom tree-shifts

Jung-Chao Ban, Guan-Yu Lai, Yu-Liang Wu

This paper features a Cramér's theorem for finite-state Markov chains indexed by rooted $d$ -trees, obtained via the method of types in the classical analysis of large deviations. A…

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…

math.PR2021

Large Deviation Principle of Multidimensional Multiple Averages on $N^{d}$

Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai

This paper establishs the large deviation principle (LDP) for multiple averages on $N^{d}$ . We extend the previous work of [Carinci et al., Indag. Math. 2012] to multidimens…

Hausdorff dimensions of irreducible Markov hom tree-shifts

Thermodynamic formalism and large deviation principle of multiplicative Ising models

Large Deviation Principle of Multidimensional Multiple Averages on Nd

Large Deviation Principle of Multidimensional Multiple Averages on $N^{d}$