2018-04-06The distribution of descents in certain conjugacy classes of Sₙ have been previously studied, and it is shown that its moments have interesting properties. This dissertation provides a bijective proof of the symmetry of the descents and major indices of matchings and uses a generating function approach to prove a central limit theorem for the number of descents in matchings. We also extend this result to fixed point free permutations
AbstractWe extend Stanley's work on alternating permutations with extremal number of fixed points in...
AbstractIn this paper we look at polynomials arising from statistics on the classes of involutions, ...
AbstractWe derive generating functions for a variety of distributions of joint permutation statistic...
AbstractThe distribution of descents in a fixed conjugacy class ofSnis studied and it is shown that ...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
In this paper we refine the well-known permutation statistic “descent ” by fixing parity of (exactly...
In this paper we refine the well-known permutation statistic “descent” by fixing parity of (exactly)...
In an earlier paper the authors refine the well-known permutation statistic "descent" by fixing pari...
AMS Subject Classication: 05A15, 05A05, 05A30 Abstract. We compute the joint distribution of descent...
We show that the bistatistic of right nestings and right crossings in matchings without left nesting...
We show that the bistatistic of right nestings and right crossings in matchings without left nesting...
In [5] the authors re¯ne the well-known permutation statistic \descent" by ¯xing parity of one of th...
An $(X,Y)$-descent in a permutation is a pair of adjacent elements such that the first element is fr...
AbstractWe extend Stanley's work on alternating permutations with extremal number of fixed points in...
AbstractIn this paper we look at polynomials arising from statistics on the classes of involutions, ...
AbstractWe derive generating functions for a variety of distributions of joint permutation statistic...
AbstractThe distribution of descents in a fixed conjugacy class ofSnis studied and it is shown that ...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
In this paper we refine the well-known permutation statistic “descent ” by fixing parity of (exactly...
In this paper we refine the well-known permutation statistic “descent” by fixing parity of (exactly)...
In an earlier paper the authors refine the well-known permutation statistic "descent" by fixing pari...
AMS Subject Classication: 05A15, 05A05, 05A30 Abstract. We compute the joint distribution of descent...
We show that the bistatistic of right nestings and right crossings in matchings without left nesting...
We show that the bistatistic of right nestings and right crossings in matchings without left nesting...
In [5] the authors re¯ne the well-known permutation statistic \descent" by ¯xing parity of one of th...
An $(X,Y)$-descent in a permutation is a pair of adjacent elements such that the first element is fr...
AbstractWe extend Stanley's work on alternating permutations with extremal number of fixed points in...
AbstractIn this paper we look at polynomials arising from statistics on the classes of involutions, ...
AbstractWe derive generating functions for a variety of distributions of joint permutation statistic...