Certain Aspects of Quantum and Classical Integrable Systems
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Date
2022-08
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American English
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Ph.D.
Degree Year
2023
Department
Mathematical Sciences
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Purdue University
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Abstract
We derive new combinatorail formulas for vector-valued weight functions for the evolution modules over the Yangians Y (gl_n). 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.
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Indiana University-Purdue University Indianapolis (IUPUI)
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