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• W2029157891 abstract "In the matrix product ground states approach to n-species diffusion processes the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra determined by the dynamics of the process. We show that the quadratic algebra defines a noncommutative space with a GLq(n) quantum group action as its symmetry. Boundary processes account for the appearance of parameter-dependent linear terms in the algebraic relations. We argue that for systems with boundary conditions the diffusion algebras are also obtained either by a shift of basis in the n-dimensional quantum plane or by an appropriate change of basis in a lower dimensional one which leads to a reduction of the GLq(n) symmetry." @default.
• W2029157891 created "2016-06-24" @default.
• W2029157891 creator A5046589056 @default.
• W2029157891 date "2002-01-21" @default.
• W2029157891 modified "2023-10-18" @default.
• W2029157891 title "The noncommutative space of stochastic diffusion systems" @default.
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• W2029157891 doi "https://doi.org/10.1088/0305-4470/35/4/302" @default.
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