A determinantal formula for Catalan tableaux and TASEP probabilities

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Cite
Mandelshtam, Olya. “A Determinantal Formula for Catalan Tableaux and TASEP Probabilities”. Journal of Combinatorial Theory, Series A, vol. 132, 2015, pp. 120-41, https://doi.org/10.1016/j.jcta.2014.12.005.
Mandelshtam, O. (2015). A determinantal formula for Catalan tableaux and TASEP probabilities. Journal of Combinatorial Theory, Series A, 132, 120-141. https://doi.org/10.1016/j.jcta.2014.12.005
Mandelshtam O. A determinantal formula for Catalan tableaux and TASEP probabilities. Journal of Combinatorial Theory, Series A. 2015;132:120-41.
Refrences
Title Journal Journal Categories Citations Publication Date
Tableaux combinatorics for the asymmetric exclusion process Advances in Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
53 2007
Enumeration of totally positive Grassmann cells Advances in Mathematics
  • Science: Mathematics
48 2005
Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials Duke Mathematical Journal
  • Science: Mathematics
45 2011
A combinatorial approach to jumping particles Journal of Combinatorial Theory, Series A
  • Science: Mathematics
42 2005
Exact solution of a 1D asymmetric exclusion model using a matrix formulation Journal of Physics A: Mathematical and General 901 1993
Refrences Analysis
The category Science: Biology (General) 3 is the most frequently represented among the references in this article. It primarily includes studies from Duke Mathematical Journal and Journal of Combinatorial Theory. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Mixing times for the simple exclusion process with open boundaries The Annals of Applied Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1 2023
Mixing times for the TASEP in the maximal current phase The Annals of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2023
Some Statistics on Generalized Motzkin Paths with Vertical Steps Graphs and Combinatorics
  • Science: Mathematics
1 2022
The TASEP on Galton–Watson trees Electronic Journal of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2021
Toric tableaux and the inhomogeneous two-species TASEP on a ring Advances in Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2 2020
Citations Analysis
The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A Bijection from Staircase Tableaux to Inversion Tables, Giving Some Eulerian and Mahonian Statistics and was published in 2016. The most recent citation comes from a 2023 study titled Mixing times for the TASEP in the maximal current phase. This article reached its peak citation in 2023, with 2 citations. It has been cited in 7 different journals. Among related journals, the The Annals of Probability cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year