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 physicaprogestogen 发表于 2025-3-23 15:07:52
http://reply.papertrans.cn/16/1592/159127/159127_12.pngObserve 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
http://reply.papertrans.cn/16/1592/159127/159127_14.pngExtemporize 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
http://reply.papertrans.cn/16/1592/159127/159127_16.pngMedicaid 发表于 2025-3-24 12:37:01
http://reply.papertrans.cn/16/1592/159127/159127_17.png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..978-3-642-44024-3978-3-642-38565-0shrill 发表于 2025-3-24 23:04:10
http://reply.papertrans.cn/16/1592/159127/159127_19.png浮雕宝石 发表于 2025-3-25 01:11:33
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