The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Wang, D., Waugh, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147736
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates / D. Wang, D. Waugh // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 19 назв. — англ.

In this paper we consider the q-deformed totally asymmetric zero range process (q-TAZRP), also known as the q-boson (stochastic) particle system, on the Z lattice, such that the jump rate of a particle depends on the site where it is on the lattice. We derive the transition probability for an n part...