Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Tenner, Bridget Eileen"'
We study algebras satisfying a two-term multilinear identity, namely one of the form $x_1\cdots x_n=qx_{\sigma(1)}\cdots x_{\sigma(n)}$, where $q$ is a parameter from the base field. We show that such algebras with $q=1$ and $\sigma$ not fixing~1 or~
Externí odkaz:
http://arxiv.org/abs/2407.09666
We define a partial order $\mathcal{P}_n$ on permutations of any given size $n$, which is the image of a natural partial order on inversion sequences. We call this the ``middle order''. We demonstrate that the poset $\mathcal{P}_n$ refines the weak o
Externí odkaz:
http://arxiv.org/abs/2405.08943
Previous work has shown that the disarray (or displacement) of an (affine) (signed) permutation is bounded in terms of its Coxeter length. Here, we characterize the permutations for which the bound is sharp in two ways: in terms of a natural property
Externí odkaz:
http://arxiv.org/abs/2404.06379
Autor:
Colmenarejo, Laura, Dawkins, Aleyah, Elder, Jennifer, Harris, Pamela E., Harry, Kimberly J., Kara, Selvi, Smith, Dorian, Tenner, Bridget Eileen
Stirling permutations are parking functions, and we investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among our results, we consider two extreme cases: extremely lucky Stirling permutations (tho
Externí odkaz:
http://arxiv.org/abs/2403.03280
In this paper we study a variant of the Malicious Ma\^{i}tre d' problem. This problem, attributed to computer scientist Rob Pike in Peter Winkler's book "Mathematical Puzzles: A Connoisseur's Collection", involves seating diners around a circular tab
Externí odkaz:
http://arxiv.org/abs/2401.11680
Autor:
Tenner, Bridget Eileen
The boolean elements of a Coxeter group have been characterized and shown to possess many interesting properties and applications. Here we introduce "prism permutations," a generalization of those elements, characterizing the prism permutations equiv
Externí odkaz:
http://arxiv.org/abs/2307.04631
Autor:
González, Nicolle, Harris, Pamela E., Kirby, Gordon Rojas, Garcia, Mariana Smit Vega, Tenner, Bridget Eileen
Given a Stirling permutation w, we introduce the mesa set of w as the natural generalization of the pinnacle set of a permutation. Our main results characterize admissible mesa sets and give closed enumerative formulas in terms of rational Catalan nu
Externí odkaz:
http://arxiv.org/abs/2306.12158
Publikováno v:
Ann. Comb. (2023)
Petersen and Tenner defined the depth statistic for Coxeter group elements which, in the symmetric group, can be described in terms of a cost function on transpositions. We generalize that cost function to the other classical (finite and affine) Weyl
Externí odkaz:
http://arxiv.org/abs/2302.04404
Autor:
González, Nicolle, Harris, Pamela E., Kirby, Gordon Rojas, Garcia, Mariana Smit Vega, Tenner, Bridget Eileen
Pinnacle sets record the values of the local maxima for a given family of permutations. They were introduced by Davis-Nelson-Petersen-Tenner as a dual concept to that of peaks, previously defined by Billey-Burdzy-Sagan. In recent years pinnacles and
Externí odkaz:
http://arxiv.org/abs/2301.02628
For each fully commutative permutation, we construct a "boolean core," which is the maximal boolean permutation in its principal order ideal under the right weak order. We partition the set of fully commutative permutations into the recently defined
Externí odkaz:
http://arxiv.org/abs/2212.05002