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We develop spectral theory for the q-Hahn stochastic particle system introduced recently by Povolotsky.
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On the Plancherel formula for the (discrete) Laplacian in a Weyl chamber with repulsive boundary conditions at the walls
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Interacting Particle Systems
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A q-weighted version of the Robinson-Schensted algorithm
N. O’Connell and Y. Pei · 2013
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On integrability of zero-range chipping models with factorized steady state
A. Povolotsky · 2013
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A short proof of a symmetry identity for the q q -Hahn distribution
G. Barraquand · 2014
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A. Borodin and I. Corwin · 2014
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Free energy fluctuations for directed polymers in random media in 1+ 1 dimension
A. Borodin, I. Corwin, and P. Ferrari · 2014
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Determinant solution for the totally asymmetric exclusion process with parallel update
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Exactly solved models in statistical mechanics
R. Baxter · 2007
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Dynamics of the attractive 1D Bose gas: analytical treatment from integrability
P. Calabrese and J.-S. Caux · 2007
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A Fredholm determinant representation in ASEP
C. Tracy and H. Widom · 2008
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On ASEP with step Bernoulli initial condition
C. Tracy and H. Widom · 2009
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From duality to determinants for q-TASEP and ASEP
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A discrete analogue of periodic delta Bose gas and affine Hecke algebra
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Tracy-Widom asymptotics for q-TASEP
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q q -randomized Robinson–Schensted–Knuth correspondences and random polymers
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Tracy–Widom limit of q-Hahn TASEP
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