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Maksim Kosmakov CERTAIN ASPECTS OF QUANTUM AND CLASSICAL INTEGRABLE SYSTEMS.pdf (1.86 MB)

CERTAIN ASPECTS OF QUANTUM AND CLASSICAL INTEGRABLE SYSTEMS

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posted on 2023-08-30, 20:14 authored by Maksim KosmakovMaksim Kosmakov

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

Advisor/Supervisor/Committee Chair

Vitaly Tarasov

Additional Committee Member 2

Alexander Its

Additional Committee Member 3

Evgeny Mukhin

Additional Committee Member 4

Daniel Ramras

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