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2022
Fuss-Narayana Statistics
충청수학회
김상욱
논문정보
- Publisher
- 충청수학회지
- Issue Date
- 2022-11-30
- Keywords
- -
- Citation
- -
- Source
- -
- Journal Title
- -
- Volume
- 35
- Number
- 4
- Start Page
- 335
- End Page
- 343
- DOI
- ISSN
- 12263524
Abstract
We show that valleys, high peaks, and modular ascents are statistics of Fuss-Catalan paths having a distribution given by the Fuss-Narayana number. We prove the results using the Cycle Lemma and provide bijections among them. We also show that relative peaks are independent of the base path. In particular, valleys and high peaks can be obtained from relative peaks by fixing the base path in certain ways.
- 전남대학교
- KCI
- 충청수학회지
저자 정보
| 이름 | 소속 |
|---|---|
| 김상욱 | 수학과 |