6 papers
Packing sets of patterns
Alexander Burstein, Peter Hästö
Packing density is a permutation occurrence statistic which describes the maximal number of permutations of a given type that can occur in another permutation. In this article we f…
Inequalities of relative weighted metrics
Peter A. Hasto
In this paper we present inequalities between two generalizations of the hyperbolic metric and the j_G metric. We also prove inequalities between generalized versions of the j_G me…
A New Weighted Metric: the Relative Metric II
Peter A. Hasto
In the first part of this investigation, [Ha], we generalized a weighted distance function of [Li] and found necessary and sufficient conditions for it being a metric. In this pape…
A New Weighted Metric: the Relative Metric I
Peter A. Hasto
The M-relative distance, denoted by ρ_M is a generalization of the p-relative distance, which was introduced by Ren-Cang Li. We establish necessary and sufficient conditions under…
Distortion in the Spherical Metric under Quasiconformal Mappings
Peter A. Hasto
This paper contains bounds for the distortion in the spherical metric, that is to say bounds for the constant of Holder continuity of mappings f : (\Rn,q) -> (\Rn, q) where q denot…
On Descents in Standard Young Tableaux
Peter A. Hasto
In this paper, explicit formulae for the expectation and the variance of descent functions on random standard Young tableaux are presented. Using these, it is shown that the normal…