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. Giardina, C. Redig, F.H.J. Sasamoto, T. Faculty Electrical Engineering, Mathematics and Computer Science Department Delft Institute of Applied Mathematics Date 2015-11-05 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. Subject 60K3582C2282C26 To reference this document use: http://resolver.tudelft.nl/uuid:56735ab4-1b8a-466d-a397-b7de8a4ecc92 Publisher Springer ISSN 0178-8051 Source https://doi.org/10.1007/s00440-015-0674-0 Source Probability Theory and Related Fields, 2015 Part of collection Institutional Repository Document type journal article Rights © 2015 The Author(s)This article is published with open access at Springerlink.com Files PDF Redig_2015.pdf 649.41 KB Close viewer /islandora/object/uuid:56735ab4-1b8a-466d-a397-b7de8a4ecc92/datastream/OBJ/view