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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Integrability of the Pentagram Map
Integrability Pentagram Map R. Schwartz convex planar polygons
2011/7/7
The pentagram map was introduced by R. Schwartz in 1992 for convex planar polygons. Recently, V. Ovsienko, R. Schwartz, and S. Tabachnikov proved Liouville integrability of the pentagram map for gener...
This paper is an overview of our works which are related to investigations of the integrability of natural Hamiltonian systems with homogeneous potentials and Newton's equations with homogeneous veloc...
FURTHER RESULTS OF INTEGRABILITY FOR THE DUNKL TRANSFORM
Dunkl operators Dunkl kernel Dunkl transform Dunkl translation operators
2008/11/25
In this paper, we establish further results concerning integrability of the Dunkl transform
of function f on R and in radial case on Rd, when f satisfies a suitable condition.