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Integrable Lattice Systems and Markov Processes by Albeverio, Sergio; Fei, Shao-Ming is a scholarly article available to read on EtoBox.

What is Integrable Lattice Systems and Markov Processes about?

Lattice systems with certain Lie algebraic or quantum Lie algebraic symmetries are constructed. These symmetric models give rise to series of integrable systems. As examples the $A_n$-symmetric chain models and the SU(2)-invariant ladder models are investigated. It is shown that corresponding to these $A_n$-symmetric chain models and SU(2)-invariant ladder models there are exactly solvable stationary discrete-time (resp. continuous-time) Markov chains with transition matrices (resp. intensity matrices) having spectra which coincide with the ones of the corresponding integrable models.

Author

Albeverio, Sergio; Fei, Shao-Ming

Published

2002

Language

EN