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[3] Ruijsenaars S.N.M., Elliptic integrable systems of Calogero–Moser type: Some new results on joint eigen- functions, in Proceedings of the 2004 Kyoto Workshop on Elliptic
And in the situation when the direct algebraic balance method, based on the representing solution we are looking for in the form of finite combination of the given functions fails,
Key words: alternating sign matrices; Young tableaux; staircases; Schubert polynomials; integrable systems.. 2000 Mathematics Subject Classification:
a series of quantum integrable systems, including some new models like two-mode q -bosonic model leading to a coupled two-component derivative NLS model, wide range of q
Following the works by Wiegmann–Zabrodin, Elbau–Felder, Hedenmalm–Maka- rov, and others, we consider the normal matrix model with an arbitrary potential function, and explain how
[3] Castro M., Gr¨ unbaum F.A., The algebra of matrix valued differential operators associated to a given family of matrix valued orthogonal polynomials: five instructive examples,
We construct flip morphisms and the corresponding mapping class group transformations and find that in the bordered surfaces case we can enlarge this group allowing transformations
An impressive number of examples have by now established the fact that both partial differential and difference equations integrable through spectral methods possess the
