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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Exactly solvable birth and death processes

Presented by Ryu Sasaki, Yukawa Institute, Kyoto

5 June 2009 13:00 in CM221

Birth and death processes are a typical example of stationary Markov chains and they can be regarded as discretisation of 1-d Brownian motion or random walk. The latter are described by 1-d Fokker-Planck equation, which is closely related to Schroedinger equation. Many examples of exactly solvable birth and death processes are derived in terms of `matrix' quantum mechanics, which is a discretised version of exactly solvable quantum mechanics. The (q-)Askey-scheme of hypergeometric orthogonal polynomials of a discrete variable and their dual polynomials play a central role. (arXiv:0903.3097[math-ph])

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