残忍 发表于 2025-3-25 03:22:11
http://reply.papertrans.cn/16/1592/159127/159127_21.png一再困扰 发表于 2025-3-25 11:02:04
, Oder Die Emergenz Des Korridors, of the logarithm of the partition function in the original potential parameter direction and using the Toda lattice. The third-order divergence for the planar diagram model is investigated in association with the critical phenomenon and double scaling. The fourth-order discontinuity is studied by uCHASM 发表于 2025-3-25 14:17:02
Mobile Architektur und Neue Urbane Kulturen, 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可以任性 发表于 2025-3-25 17:15:37
, Oder Die Emergenz Des Korridors, is to further confirm that the string equation method can be widely applied to study phase transition problems in matrix models, and that the expansion method based on the string equations can work efficiently to find the power-law divergences considered in the transition problems.宣誓书 发表于 2025-3-25 22:16:08
http://reply.papertrans.cn/16/1592/159127/159127_25.pngAMPLE 发表于 2025-3-26 03:42:18
http://reply.papertrans.cn/16/1592/159127/159127_26.png傲慢物 发表于 2025-3-26 06:04:25
Application of Integrable Systems to Phase Transitions978-3-642-38565-0边缘 发表于 2025-3-26 10:15:06
C.B. WangFirst book in the field of matrix models to apply integrable systems to solve the phase transition problems.The only book to date to provide a unified model for the densities of eigenvalues in quantum一骂死割除 发表于 2025-3-26 13:22:04
http://image.papertrans.cn/a/image/159127.jpgMetastasis 发表于 2025-3-26 20:38:40
https://doi.org/10.1007/978-3-642-38565-0Integrable system; Large-N asymptotics; Matrix model; Phase transition; Planar diagram; Power-law; Seiberg