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We study the Facilitated TASEP, an interacting particle system on the one dimensional integer lattice.
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M. Prähofer and H. Spohn, Current fluctuations for the totally asymmetric simple exclusion process , In and out of equilibrium (Mambucaba, 2000), Progr. Probab., vol. 51, Birkhäuser Boston, Boston, MA, 2002, pp. 185–204. MR 1901953 (2003e:60224)
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J. Baik, G. Ben Arous, and S. Péché, Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices , Ann. Probab. (2005), 1643–1697
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T. M. Liggett, Interacting particle systems , Springer, 2005
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U. Basu and P. K. Mohanty, Active absorbing-state phase transition beyond directed percolation: A class of exactly solvable models , Phys. Rev. E 79
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C. A. Tracy and H. Widom, Asymptotics in ASEP with step initial condition , Commun. Math. Phys. 290
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A. Gabel, P. L. Krapivsky, and S. Redner, Facilitated asymmetric exclusion , Phys. Rev. Lett. 105
2010
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G. Ben Arous and I. Corwin, Current fluctuations for TASEP: A proof of the Prähofer–Spohn conjecture , Ann. Probab. 39
2011
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A. Gabel and S. Redner, Cooperativity-driven singularities in asymmetric exclusion , J. Stat. Mech. 2011
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T. Halpin-Healy and K. A. Takeuchi, A KPZ cocktail-shaken, not stirred… , J. Stat. Phys. 160
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G. Barraquand and I. Corwin, The q q -Hahn asymmetric exclusion process , Ann. Appl. Probab. 26
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2017
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2011
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I. Corwin, The Kardar–Parisi–Zhang equation and universality class , Random Matrices Theory Appl. 1
2012
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2017
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E. Dimitrov and Z. Yang, Half-space Airy line ensembles , In preparation (2024)
2024
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