Print Email Facebook Twitter A generalized asymmetric exclusion process with Uq(sl2) stochastic duality Title A generalized asymmetric exclusion process with Uq(sl2) stochastic duality Author Carinci, G. (TU Delft Applied Probability) Giardinà, C (External organisation) Redig, F.H.J. (TU Delft Applied Probability) Sasamoto, T (External organisation) Date 2015 Abstract We study a new process, which we call ASEP(q, j), where particles move asymmetrically on a one-dimensional integer lattice with a bias determined by q ∈ (0, 1) and where at most 2 j ∈ N particles per site are allowed. The process is constructed from a (2 j + 1)-dimensional representation of a quantum Hamiltonian with Uq (sl2) invariance by applying a suitable ground-state transformation. After showing basic properties of the process ASEP(q, j ), we prove self-duality with several selfduality functions constructed from the symmetries of the quantum Hamiltonian. By making use of the self-duality property we compute the first q-exponential moment of the current for step initial conditions (both a shock or a rarefaction fan) as well as when the process is started from a homogeneous product measure. To reference this document use: http://resolver.tudelft.nl/uuid:603e9149-cef0-4224-84c2-f588ae5050f7 DOI https://doi.org/10.1007/s00440-015-0674-0 ISSN 0178-8051 Source Probability Theory and Related Fields, 1-47 Part of collection Institutional Repository Document type journal article Rights © 2015 G. Carinci, C Giardinà, F.H.J. Redig, T Sasamoto Files PDF 10.1007_2Fs00440_015_0674_0.pdf 957.96 KB Close viewer /islandora/object/uuid:603e9149-cef0-4224-84c2-f588ae5050f7/datastream/OBJ/view