On 3-Dimensional Lattice Walks Confined to the Positive Octant
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2016/10/14
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Journal
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Indian UGC (journal)
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Refrences42
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Citations22
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Alin Bostan
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Mireille Bousquet-Mélou
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Manuel Kauers
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Stephen Melczer
Cite
Bostan, Alin, et al. “On 3-Dimensional Lattice Walks Confined to the Positive Octant”. Annals of Combinatorics, vol. 20, no. 4, 2016, pp. 661-04, https://doi.org/10.1007/s00026-016-0328-7.
Bostan, A., Bousquet-Mélou, M., Kauers, M., & Melczer, S. (2016). On 3-Dimensional Lattice Walks Confined to the Positive Octant. Annals of Combinatorics, 20(4), 661-704. https://doi.org/10.1007/s00026-016-0328-7
Bostan A, Bousquet-Mélou M, Kauers M, Melczer S. On 3-Dimensional Lattice Walks Confined to the Positive Octant. Annals of Combinatorics. 2016;20(4):661-704.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1017/S0963548314000145 | Combinatorics, Probability and Computing |
| 2014 | |
| 10.1090/S0002-9939-2010-10398-2 | Proceedings of the American Mathematical Society |
| 2010 | |
| Two non-holonomic lattice walks in the quarter plane | Theoretical Computer Science |
| 28 | 2009 |
Proof of Ira Gessel's lattice path conjecture | Proceedings of the National Academy of Sciences |
| 19 | 2009 |
| Explicit expression for the generating function counting Gesselʼs walks | Advances in Applied Mathematics |
| 11 | 2008 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Minimization of differential equations and algebraic values of 𝐸-functions | Mathematics of Computation |
| 2023 | |
| The research and progress of the enumeration of lattice paths | Frontiers of Mathematics |
| 2022 | |
| Guessing Gröbner bases of structured ideals of relations of sequences | Journal of Symbolic Computation |
| 2022 | |
Sums of Powers of Binomials, Their Apéry Limits, and Franel’s Suspicions | International Mathematics Research Notices |
| 1 | 2022 |
| Martin boundary of random walks in convex cones | Annales Henri Lebesgue |
| 5 | 2022 |
Citations Analysis
The category
Science: Mathematics 18
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled An elementary solution of Gessel's walks in the quadrant and was published in 2016. The most recent citation comes from a 2023 study titled Minimization of differential equations and algebraic values of 𝐸-functions. This article reached its peak citation in 2020, with 5 citations. It has been cited in 17 different journals, 5% of which are open access. Among related journals, the Journal of Combinatorial Theory, Series A cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.