Gamma-positivity in combinatorics and geometry

CA Athanasiadis - arXiv preprint arXiv:1711.05983, 2017 - arxiv.org
Gamma-positivity is an elementary property that polynomials with symmetric coefficients may
have, which directly implies their unimodality. The idea behind it stems from work of Foata …

[图书][B] Eulerian numbers

TK Petersen, TK Petersen - 2015 - Springer
The first interesting array of numbers a typical mathematics student encounters is Pascal's
triangle, shown in Table 1.1. It has many beautiful properties, some of which we will review …

[图书][B] Combinatorics of set partitions

T Mansour - 2013 - api.taylorfrancis.com
This book gives an introduction to and an overview of the methods used in the combinatorics
of pattern avoidance and pattern enumeration in set partitions, a very active area of research …

Lattice path enumeration

C Krattenthaler - Handbook of enumerative combinatorics, 2015 - api.taylorfrancis.com
Lattice Path Enumeration Page 1 Chapter 10 Lattice Path Enumeration Christian Krattenthaler
Universität Wien CONTENTS 10.1 Introduction ....................................................... 589 10.2 Lattice …

Generating random density matrices

K Życzkowski, KA Penson, I Nechita… - Journal of Mathematical …, 2011 - pubs.aip.org
We study various methods to generate ensembles of random density matrices of a fixed size
N, obtained by partial trace of pure states on composite systems. Structured ensembles of …

Liberation of orthogonal Lie groups

T Banica, R Speicher - Advances in Mathematics, 2009 - Elsevier
We show that under suitable assumptions, we have a one-to-one correspondence between
classical groups and free quantum groups, in the compact orthogonal case. We classify the …

Finite complex reflection arrangements are K (π, 1)

D Bessis - Annals of mathematics, 2015 - JSTOR
Let V be a finite dimensional complex vector space and W⊆ GL (V) be a finite complex
reflection group. Let Vreg be the complement in V of the reflecting hyperplanes. We prove …

[HTML][HTML] Lagrange inversion

IM Gessel - Journal of Combinatorial Theory, Series A, 2016 - Elsevier
Lagrange inversion - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals
& Books Search RegisterSign in View PDF Download full issue Search ScienceDirect Elsevier …

Parking functions

CH Yan - Handbook of enumerative combinatorics, 2015 - api.taylorfrancis.com
The notion of parking functions was introduced by Konheim and Weiss [53] as a colorful way
to describe their work on computer storage. The parking problem can be stated as follows …

[图书][B] Lattice theory: special topics and applications

GA Gratzer, F Wehrung - 2016 - Springer
George Grätzer started writing his General Lattice Theory in 1968. It was published in 1978.
It set out “to discuss in depth the basics of general lattice theory.” Almost 900 exercises, 193 …