Elliptic Combinatorics and Markov Processes

• Main Author: Betea, Dan Dumitru
• Format: Thesis
• Language: English
• Published: 2012
• Subjects: Arctic; Borodin
• Online Access: https://thesis.library.caltech.edu/7115/; https://thesis.library.caltech.edu/7115/1/betea_thesis.pdf; https://thesis.library.caltech.edu/7115/2/betea_thesis_4_print.pdf; https://resolver.caltech.edu/CaltechTHESIS:05312012-201348939

We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the multivariate case). We focus on elliptically distribute...