Maksim Kosmakov CERTAIN ASPECTS OF QUANTUM AND CLASSICAL INTEGRABLE SYSTEMS.pdf (1.86 MB)
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We derive new combinatorail formulas for vector-valued weight functions for the evolution modules over the Yangians Y (gln). We obtain them using the Nested Algebraic Bethe ansatz method.
We also describe the asymptotic behavior of the radial solutions of the negative tt∗ equation via the Riemann-Hilbert problem and the Deift-Zhou nonlinear steepest descent method.
History
Degree Type
- Doctor of Philosophy
Department
- Mathematics
Campus location
- Indianapolis