马赛克 发表于 2025-3-23 13:08:56

Introduction,he hypergeometric-type differential equations improve on some shortages of integrable systems to work on physical problems, such as the fact that a soliton system does not have a differential equation along the spectrum direction, and illustrate a new background to study the singularities of physica

progestogen 发表于 2025-3-23 15:07:52

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Observe 发表于 2025-3-23 19:44:34

Bifurcation Transitions and Expansions,rom the string equations. The density on multiple disjoint intervals for higher degree potential and the corresponding free energy are discussed in association with the Seiberg-Witten differential. In the symmetric cases for the quartic potential, the third-order phase transitions are explained with

反叛者 发表于 2025-3-23 23:14:05

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Extemporize 发表于 2025-3-24 06:12:19

Densities in Unitary Matrix Models, the orthogonal polynomials on the unit circle. The integrable systems and string equation discussed in this chapter provide a structure for finding the generalized density models and parameter relations that will be used as the mathematical foundation to investigate the transition problems discusse

尊重 发表于 2025-3-24 07:51:03

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Medicaid 发表于 2025-3-24 12:37:01

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佛刊 发表于 2025-3-24 16:58:05

theory. The formulations and results will benefit researchers and students in the fields of phase transitions, integrable systems, matrix models and Seiberg-Witten theory..978-3-642-44024-3978-3-642-38565-0

shrill 发表于 2025-3-24 23:04:10

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浮雕宝石 发表于 2025-3-25 01:11:33

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查看完整版本: Titlebook: Application of Integrable Systems to Phase Transitions; C.B. Wang Book 2013 Springer-Verlag Berlin Heidelberg 2013 Integrable system.Large