On the Nature of Four Models of Symmetric Walks Avoiding a Quadrant-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

On the Nature of Four Models of Symmetric Walks Avoiding a Quadrant

Published:2021-06-14 Issue:3 Volume:25 Page:617-644
ISSN:0218-0006
Container-title:Annals of Combinatorics
language:en
Short-container-title:Ann. Comb.

Author:

Dreyfus Thomas,Trotignon Amélie

Funder

Austrian Science Fund

European Research Council

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics

Link

https://link.springer.com/content/pdf/10.1007/s00026-021-00541-8.pdf

Reference36 articles.

1. A. Bostan, M. Bousquet-Mélou, and S. Melczer. On walks with large steps in an orthant. Journal of the European Mathematical Society (JEMS), 2020.

2. O. Bernardi, M. Bousquet-Mélou, and K. Raschel. Counting quadrant walks via Tutte’s invariant method. arXiv preprintarXiv:1708.08215, 2017.

3. A. Bostan, F Chyzak, M. Van Hoeij, M. Kauers, and L. Pech. Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. European J. Combin., 61:242–275, 2017.

4. C. Banderier and P. Flajolet. Basic analytic combinatorics of directed lattice paths. Theoret. Comput. Sci., 281(1-2):37–80, 2002. Selected papers in honour of Maurice Nivat.

5. A. Bostan and M. Kauers. The complete generating function for Gessel walks is algebraic. Proceedings of the American Mathematical Society, 138(9):3063–3078, 2010.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Walks avoiding a quadrant and the reflection principle;European Journal of Combinatorics;2023-10

2. Enumeration of three-quadrant walks via invariants: some diagonally symmetric models;Canadian Journal of Mathematics;2022-09-27

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3