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We investigate a rich new class of exactly solvable particle systems generalizing the Totally Asymmetric Simple Exclusion Process (TASEP).
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“Existence of hydrodynamics for the totally asymmetric simple K-exclusion process”
T. Sepp“”al“”ainen · 1999
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“Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder”
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“Fluctuations in the composite regime of a disordered growth model”
J. Gravner, C. Tracy and H. Widom · 2002
“Modeling Translation in Protein Synthesis with TASEP: A Tutorial and Recent Developments”
R.K.P. Zia, J.J. Dong and B. Schmittmann · 2011
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“Microscopic concavity and fluctuation bounds in a class of deposition processes”
M. Bal“’asz, J. Komj“’athy and T. Sepp“”al“”ainen · 2012
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“Discrete Time TASEP in Heterogeneous Continuum”
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M. Pr“”ahofer and H. Spohn · 2002
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N. O’Connell · 2003
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N. O’Connell · 2003
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A. Okounkov and N. Reshetikhin · 2003
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“Long-range exclusion processes, generator and invariant measures” arXiv:math/0411655 [math.PR]
E. Andjel and H. Guiol · 2005
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O. Costin, J. Lebowitz, E. Speer and A. Troiani · 2013
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M. Duits · 2013
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“A q-weighted version of the Robinson-Schensted algorithm” arXiv:1212.6716 [math.CO]
N. O’Connell and Y. Pei · 2013
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A. Povolotsky · 2013
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R. Basu, V. Sidoravicius and A. Sly · 2014
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“Macdonald processes” arXiv:1111.4408 [math.PR]
A. Borodin and I. Corwin · 2014
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A. Borodin, I. Corwin and P. Ferrari · 2014
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“Anisotropic growth of random surfaces in 2+1 dimensions” arXiv:0804.3035 [math-ph]
A. Borodin and P. Ferrari · 2014
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“A phase transition for q-TASEP with a few slower particles” arXiv:1404.7409 [math.PR]
G. Barraquand · 2015
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“Directed last passage percolation with discontinuous weights”
J. Calder · 2015
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A. Derbyshev, A. Povolotsky and V. Priezzhev · 2015
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“A KPZ cocktail-shaken, not stirred…” arXiv:1505.01910 [cond-mat.stat-mech]
T. Halpin-Healy and K. Takeuchi · 2015
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“The one-dimensional KPZ equation and its universality class” arXiv:1503.06185 [math-ph]
J. Quastel and H. Spohn · 2015
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“Representations of the Infinite Symmetric Group”
A. Borodin and G. Olshanski · 2016
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A. Borodin and L. Petrov · 2016
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“Nearest neighbor Markov dynamics on Macdonald processes” arXiv:1305.5501 [math.PR]
A. Borodin and L. Petrov · 2016
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“Kardar-Parisi-Zhang Universality”
I. Corwin · 2016
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“Stochastic higher spin vertex models on the line” arXiv:1502.07374 [math.PR]
I. Corwin and L. Petrov · 2016
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E. Emrah · 2016
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“Two time distribution in Brownian directed percolation” arXiv:1502.00941 [math-ph]
K. Johansson · 2016
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“Invariant Measures for TASEP with a Slow Bond” arXiv:1704.07799
R. Basu, S. Sarkar and A. Sly · 2017
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“On a family of symmetric rational functions” arXiv:1410.0976 [math.CO]
A. Borodin · 2017
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“The ASEP and determinantal point processes” arXiv:1608.01564 [math-ph]
A. Borodin and G. Olshanski · 2017
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“Yang-Baxter field for spin Hall-Littlewood symmetric functions” arXiv:1712.04584 [math.PR]
A. Bufetov and L. Petrov · 2017
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“The KPZ fixed point” arXiv:1701.00018 [math.PR]
K. Matetski, J. Quastel and D. Remenik · 2017
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“Stochastic Higher Spin Six Vertex Model and q q -TASEPs”
D. Orr and L. Petrov · 2017
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“Current Fluctuations of the Stationary ASEP and Six-Vertex Model” arXiv:1608.04726 [math.PR]
A. Aggarwal · 2018
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A. Bufetov and K. Matveev · 2018
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F. Ciech and N. Georgiou · 2018
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“SPDE Limit of Weakly Inhomogeneous ASEP” arXiv:1806.09682 [math.PR]
I. Corwin and L.-C. Tsai · 2018
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“The two-time distribution in geometric last-passage percolation” arXiv:1802.00729 [math.PR]
K. Johansson · 2018
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“PushTASEP in inhomogeneous space” In preparation, 2019
L. Petrov · 2019
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