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In this paper we study the probability distribution of the position of a tagged particle in the $q$-deformed Totally Asymmetric Zero Range Process ($q$-TAZRP) with site dependent jumping rates.
A class of interactions in an infinite particle system
R. Holley · 1970
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T. Sasamoto and M. Wadati · 1998
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G. E. Andrews, R. Askey, and R. Roy · 1999
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Bethe ansatz solution of zero-range process with nonuniform stationary state
A. M. Povolotsky · 2004
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J. Baik, G. Ben Arous, and S. Péché · 2005
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C. A. Tracy and H. Widom · 2008
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C. A. Tracy and H. Widom · 2009
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On the integrability of zero-range chipping models with factorized steady states
A. M. Povolotsky · 2013
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A. Borodin and I. Corwin · 2014
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From duality to determinants for q q -TASEP and ASEP
A. Borodin, I. Corwin, and T. Sasamoto · 2014
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A phase transition for q q -TASEP with a few slower particles
G. Barraquand · 2015
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Spectral theory for the q q -Boson particle system
A. Borodin, I. Corwin, L. Petrov, and T. Sasamoto · 2015
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Tracy-Widom asymptotics for q q -TASEP
P. L. Ferrari and B. Vető · 2015
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The transition probability of the q q -TAZRP ( q q -Bosons) with inhomogeneous jump rates, 2015
D. Wang and D. Waugh · 2015
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Facilitated exclusion process and Pfaffian Schur processes, 2016
J. Baik, G. Barraquand, I. Corwin, and T. Suidan · 2016
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Higher spin six vertex model and symmetric rational functions, 2016
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The transition probability and the probability for the left-most particle’s position of the q q -totally asymmetric zero range process
M. Korhonen and E. Lee · 2014
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A. Borodin and L. Petrov · 2016
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Fluctuations for stationary q q -TASEP, 2017
T. Imamura and T. Sasamoto · 2017
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