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

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dc.contributor.author Wang, D.
dc.contributor.author Waugh, D.
dc.date.accessioned 2019-02-15T18:55:25Z
dc.date.available 2019-02-15T18:55:25Z
dc.date.issued 2016
dc.identifier.citation 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. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 82B23; 82C22; 60J35
dc.identifier.other DOI:10.3842/SIGMA.2016.037
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147736
dc.description.abstract 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 particle process in Bethe ansatz form as a sum of n! n-fold contour integrals. Our result generalizes the transition probability formula by Korhonen and Lee for q-TAZRP with a homogeneous lattice, and our method follows the same approach as theirs. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue on Asymptotics and Universality in Random Matrices, Random Growth Processes, Integrable Systems and Statistical Physics in honor of Percy Deift and Craig Tracy. The full collection is available at http://www.emis.de/journals/SIGMA/Deift-Tracy.html. s The authors are indebted to Ivan Corwin for numerous comments, especially on the relation to the spectral theory and on the proof of Corollary 1.3. We also thank Eunghyun Lee for valuable suggestions and comments. At last, we thank the anonymous referees for their comments, suggestions and corrections, especially on a sign error in the manuscript. The first named author is supported partially by the startup grant R-146-000-164-133. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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