Work

Orthogonal Stochastic Duality Functions from Lie Algebra Representations

Year: 2018

Type: article

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 $$\mathfrak {su}(1,1)$$ . Both cases lead to orthogonal (self-)duality functions in terms of hypergeometric functions for specific interacting particle processes and interacting diffusion processes.

Source: Journal of Statistical Physics

DOI: 10.1007/s10955-018-2178-7

Author: Wolter Groenevelt

Institution: Delft University of Technology

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Technische Universiteit Delft