Orthogonal Stochastic Duality Functions from Lie Algebra Representations.

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ID: 72145
2019
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Abstract
We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between -representations, which provides (generalized) orthogonality relations for the duality functions. In particular, we consider representations of the Heisenberg algebra and . Both cases lead to orthogonal (self-)duality functions in terms of hypergeometric functions for specific interacting particle processes and interacting diffusion processes.
Reference Key
groenevelt2019orthogonaljournal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Groenevelt, Wolter;
Journal journal of statistical physics
Year 2019
DOI
10.1007/s10955-018-2178-7
URL
Keywords
hypergeometric functions lie algebra representations orthogonal polynomials stochastic duality

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