马尔可夫-凯利树上乘法伊辛模型的大偏差原理

IF 0.5 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2024-03-01 DOI:10.1016/j.indag.2024.03.005

Jung-Chao Ban , Wen-Guei Hu , Zongfan Zhang

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引用次数: 0

摘要

本文研究了两类（I 型和 II 型）乘法伊辛模型的大偏差原理（LDP）。对于 I 型和 II 型，我们推导出了自由能函数和相关速率函数的明确公式。此外，我们还证明了这些自由能函数是可微分的，这表明这两种系统都不存在相变现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Large deviation principle of multiplicative Ising models on Markov–Cayley trees

In this paper, we study the large deviation principle (LDP) for two types (Type I and Type II) of multiplicative Ising models. For Types I and II, the explicit formulas for the free energy functions and the associated rate functions are derived. Furthermore, we prove that those free energy functions are differentiable, which indicates that both systems are characterized by a lack of phase transition phenomena.

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来源期刊

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.