Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Striker, Jessica"'
We completely classify the asymptotic behavior of the number of alternating sign matrices classically avoiding a single permutation pattern, in the sense of [Johansson and Linusson 2007]. In particular, we give a uniform proof of an exponential upper
Externí odkaz:
http://arxiv.org/abs/2411.07662
We initiate a systematic study of key-avoidance on alternating sign matrices (ASMs) defined via pattern-avoidance on an associated permutation called the \emph{key} of an ASM. We enumerate alternating sign matrices whose key avoids a given set of per
Externí odkaz:
http://arxiv.org/abs/2408.05311
Inspired by recent work on refraction billiards in dynamics, we introduce a notion of refraction for combinatorial billiards. This allows us to define a generalization of toric promotion that we call toric promotion with reflections and refractions,
Externí odkaz:
http://arxiv.org/abs/2404.03649
We define and study the $(\nu / \lambda)$-partial alternating sign matrix polytope, motivated by connections to the Chan-Robbins-Yuen polytope and the $\nu$-Tamari lattice. We determine the inequality description and show this polytope is a face of t
Externí odkaz:
http://arxiv.org/abs/2403.02204
Autor:
Adams, Ashleigh, Elder, Jennifer, Lafrenière, Nadia, McNicholas, Erin, Striker, Jessica, Welch, Amanda
We perform a systematic study of permutation statistics and bijective maps on permutations using SageMath to search the FindStat combinatorial statistics database to identify apparent instances of the cyclic sieving phenomenon (CSP). Cyclic sieving o
Externí odkaz:
http://arxiv.org/abs/2402.16251
Webs give a diagrammatic calculus for spaces of $U_q(\mathfrak{sl}_r)$-tensor invariants, but intrinsic characterizations of web bases are only known in certain cases. Recently, we introduced hourglass plabic graphs to give the first such $U_q(\mathf
Externí odkaz:
http://arxiv.org/abs/2402.13978
Autor:
Holmlund, Vincent, Striker, Jessica
Plane partitions in the totally symmetric self-complementary symmetry class (TSSCPP) are known to be equinumerous with n x n alternating sign matrices, but no explicit bijection is known. In this paper, we give a bijection from these plane partitions
Externí odkaz:
http://arxiv.org/abs/2312.03564
Webs yield an especially important realization of certain Specht modules, irreducible representations of symmetric groups, as they provide a pictorial basis with a convenient diagrammatic calculus. In recent work, the last three authors associated po
Externí odkaz:
http://arxiv.org/abs/2308.07256
Interval-closed sets of a poset are a natural superset of order ideals. We initiate the study of interval-closed sets of finite posets from enumerative and dynamical perspectives. In particular, we use the generalized toggle group to define rowmotion
Externí odkaz:
http://arxiv.org/abs/2307.08520
Publikováno v:
Combinatorial Theory, Volume 4, Number 2 (2024)
In our companion paper, we develop a new $SL_4$-web basis. Basis elements are given by certain planar graphs and are constructed so that important algebraic operations can be performed diagrammatically. A guiding principle behind our construction is
Externí odkaz:
http://arxiv.org/abs/2306.12506