书籍详情
欧拉统计量及相关的计数多项式(英文版)
作者:马世美
出版社:东北大学出版社
出版时间:2020-11-01
ISBN:9787551725637
定价:¥58.00
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内容简介
本书主要概述了欧拉统计量的几个**进展,着重论述了欧拉统计量、峰统计量、交错子列统计量、上升平台统计量等相关的组合统计量,并利用形式文法理论探讨了一些经典的计数多项式。本书可供组合数学方向的研究生和相关学者阅读。
作者简介
暂缺《欧拉统计量及相关的计数多项式(英文版)》作者简介
目录
Chapter 1 Preliminary
1.1 Eulerian polynomials
1.2 Derivative polynomials
1.3 Peak polynomials
1.4 Alternating run polynomials
Chapter 2 Context-free grammars
2.1 Several classical examples
2.2 Ramanujan polynomials
2.3 Multivariate Eulerian polynomials
Chapter 3 Eulerian statistics on Stirling permutations
3.1 Introduction
3.2 The ascent-plateau statistics
3.3 A symmetric distribution
3.4 The flag ascent-plateau statistics
3.5 A partial gamma expansion
3.6 Dual Stirling permutations
Chapter 4 Eulerian statistics on simsun permutations
4.1 Introduction
4.2 Relationship to interior peaks
4.3 Interior peaks of simsun permutations
4.4 Signed simsun permutations
4.5 Even-signed simsun permutations
4.6 Simsun succesions and simsun patterns
4.7 Simsun permutations of the second kind
Bibliography
1.1 Eulerian polynomials
1.2 Derivative polynomials
1.3 Peak polynomials
1.4 Alternating run polynomials
Chapter 2 Context-free grammars
2.1 Several classical examples
2.2 Ramanujan polynomials
2.3 Multivariate Eulerian polynomials
Chapter 3 Eulerian statistics on Stirling permutations
3.1 Introduction
3.2 The ascent-plateau statistics
3.3 A symmetric distribution
3.4 The flag ascent-plateau statistics
3.5 A partial gamma expansion
3.6 Dual Stirling permutations
Chapter 4 Eulerian statistics on simsun permutations
4.1 Introduction
4.2 Relationship to interior peaks
4.3 Interior peaks of simsun permutations
4.4 Signed simsun permutations
4.5 Even-signed simsun permutations
4.6 Simsun succesions and simsun patterns
4.7 Simsun permutations of the second kind
Bibliography
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