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內(nèi)容簡(jiǎn)介

　　本書主要概述了歐拉統(tǒng)計(jì)量的幾個(gè)**進(jìn)展，著重論述了歐拉統(tǒng)計(jì)量、峰統(tǒng)計(jì)量、交錯(cuò)子列統(tǒng)計(jì)量、上升平臺(tái)統(tǒng)計(jì)量等相關(guān)的組合統(tǒng)計(jì)量，并利用形式文法理論探討了一些經(jīng)典的計(jì)數(shù)多項(xiàng)式。本書可供組合數(shù)學(xué)方向的研究生和相關(guān)學(xué)者閱讀。

作者簡(jiǎn)介

暫缺《歐拉統(tǒng)計(jì)量及相關(guān)的計(jì)數(shù)多項(xiàng)式（英文版）》作者簡(jiǎn)介

圖書目錄

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