Erratum to: Integral Formulas for the Asymmetric Simple Exclusion Process

By Craig A. Tracy, Harold Widom. 2011

159 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1cba104cadfec63c930616d94731c57db492c937

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Citations in the corpus

The One-Dimensional KPZ Equation and Its Universality Class (2015, background): “As general lore, such one-dimensional lattice systems, with only nearest neighbor interactions and conserved number of particles, are solvable through the Bethe ansatz [63,64].”
From duality to determinants for q-TASEP and ASEP (2012, methodology): “The ASEP Fredholm determinant Tracy and Widom derived in [41, 42] is also of this type (and in fact, after inverting the eτ -Laplace transform we recover the same formula as in [41, 42]).”
Directed polymers and the quantum Toda lattice (2009, background): “It will be interesting to relate this, in a suitable scaling limit, to the “crossover distributions” recently introduced in the context of KPZ and the stochastic heat equation by Sasamoto and Spohn [49–52] and Amir, Corwin and Quastel [1], building on recent work of Tracy and Widom [58–61] on the as”
Macdonald processes (2011, methodology): “Those works took asymptotics of Tracy and Widom’s ASEP formulas [96, 97, 98] and rely on the fact that weakly scaled ASEP converges to the KPZ equation [13, 4].”
The Kardar-Parisi-Zhang equation and universality class (2011, methodology): “Let us briefly remark on the approach Tracy and Widom used in deriving this formula in [163, 164, 165].”
Introduction to KPZ (2011, background): “In a series of articles starting with [114, 115] C.”
Higher spin six vertex model and symmetric rational functions (2016, result): “For example, looking at the earlier papers of the second wave we see that: (a) The pioneering work of Tracy–Widom [TW08], [TW09a], [TW09b] on the Asymmetric Simple Exclusion Process (ASEP) was based on the famous idea of Bethe [Bet31] of looking for eigenfunctions of a quantum many-body system in th”
Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials (2009, background): “It is worth mentioning that in recent years there has been an explosion of activity [3, 5, 22, 6, 37, 4, 45, 46, 47] surrounding another version of the ASEP, in which particles hop not on a finite lattice but on Z.”