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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Local Method for Compositional Inverses of Permutation Polynomials
置换 多项式复合逆 局部方法
2023/4/18
In this talk, we will talk about a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.
HOW TO DECOMPOSE A PERMUTATION INTO A PAIR OF LABELED DYCK PATHS BY PLAYING A GAME
PERMUTATION LABELED DYCK PATHS PLAYING A GAME
2015/8/14
We give a bijection between permutations of 1, . . . , 2n and certain pairs of Dyck paths with labels on the down steps. The bijection arises from a game in which two players alternate selecting from ...
Ordered Partitions Avoiding a Permutation Pattern of Length 3
pattern avoidance ordered partition descent
2014/6/3
An ordered partition of [n]={1, 2,..., n} is a partition whose blocks are endowed with a linear order. Let OPn,k be set of ordered partitions of [n] with k blocks and OPn,k(σ) be set of ordered partit...
Linked partitions are introduced by Dykema in the study of transforms in free probability theory, whereas permutation tableaux are introduced by Steingrímsson and Williams in the study of totally posi...
The Sorting Index and Permutation Codes
permutation statistic Mahonian statistic Coxeter group set-valued statistic bijection
2014/6/3
In the combinatorial study of the coefficients of a bivariate polynomial that generalizes both the length and the reflection length generating functions for finite Coxeter groups, Petersen introduced ...
The Sorting Index and Permutation Codes
Permutation statistics Mahonian statistics Coxeter groups Set-valued statistics Bijections
2012/6/19
In the combinatorial study of the coefficients of a bivariate polynomial that generalizes both the length and the reflection length generating functions for finite Coxeter groups, Petersen introduced ...
Expected Patterns in Permutation Classes
Expected Patterns Permutation Classes Combinatorics
2012/6/15
In the set of all patterns in $S_n$, it is clear that each k-pattern occurs equally often. If we instead restrict to the class of permutations avoiding a specific pattern, the situation quickly become...
Combinatorial specification of permutation classes
permutation classes excluded patterns substitution decomposition simple permutations generating functions combinatorial specification random generation
2012/4/23
This article presents a methodology that automatically derives a combinatorial specification for the permutation class C = Av(B), given its basis B of excluded patterns and the set of simple permutati...
$C_2$-cofiniteness of 2-cycic permutation orbifold models
2-cycic permutation orbifold models Quantum Algebra
2011/9/6
Abstract: In this article, we consider permutation orbifold models of $C_2$-cofinite vertex operator algebras of CFT type. We show the $C_2$-cofiniteness of the 2-cyclic permutation orbifold model $(V...
Permutation Tableaux and the Dashed Permutation Pattern 32–1
Permutation tableaux dashed permutation patten
2014/6/3
We give a solution to a problem posed by Corteel and Nadeau concerning permutation tableaux of length n and the number of occurrences of the dashed pattern 32–1 in permutations on [n]. We introduce th...
Schurity of S-rings over a cyclic group and generalized wreath product of permutation groups
Schurity of S-rings cyclic group generalized wreath product of permutation groups
2011/2/25
The generalized wreath product of permutation groups is intro-duced. By means of it we study the schurity problem for S-rings over a cyclic group G and the automorphism groups of them.
Toric CFTs, Permutation Triples, and Belyi Pairs
Toric CFTs Permutation Triples Belyi Pairs
2011/3/2
Four-dimensional CFTs dual to branes transverse to toric Calabi{Yau threefolds have been described by bipartite graphs on a torus (dimer models). We use the theory of dessins d'enfants to describe the...
An analytic comparison of permutation methods for tests of partial regression coefficients in the linear model
analytic comparison permutation methods linear model
2010/9/21
An analytic comparison of permutation methods for tests of partial regression coefficients in the linear model.
The quantum permutation group of an infinite countable set
Quantum permutation group von Neumann algebra projective limit
2010/12/10
Two different models for a Hopf–von Neumann algebra of bounded functions on the quantum permutation group on infinitely many elements are proposed, one based on projective limits of enveloping von Neu...