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pro vyhledávání: '"Commins, Patricia"'
Autor:
Axelrod-Freed, Ilani, Brauner, Sarah, Chiang, Judy Hsin-Hui, Commins, Patricia, Lang, Veronica
We generalize random-to-random shuffling from a Markov chain on the symmetric group to one on the Type A Iwahori Hecke algebra, and show that its eigenvalues are polynomials in q with non-negative integer coefficients. Setting q=1 recovers results of
Externí odkaz:
http://arxiv.org/abs/2407.08644
Let $\Omega$ be the {\em superspace ring} of polynomial-valued differential forms on affine $n$-space. The natural action of the symmetric group $\mathfrak{S}_n$ on $n$-space induces an action of $\mathfrak{S}_n$ on $\Omega$. The {\em superspace coin
Externí odkaz:
http://arxiv.org/abs/2404.17919
Autor:
Commins, Patricia
The faces of the braid arrangement form a monoid. The associated monoid algebra -- the face algebra -- is well-studied, especially in relation to card shuffling and other Markov chains. In this paper, we explore the action of the symmetric group on t
Externí odkaz:
http://arxiv.org/abs/2404.00536
Publikováno v:
Pacific J. Math. 322 (2023) 251-280
We examine from an invariant theory viewpoint the monoid algebras for two monoids having large symmetry groups. The first monoid is the free left-regular band on $n$ letters, defined on the set of all injective words, that is, the words with at most
Externí odkaz:
http://arxiv.org/abs/2206.11406
The response matrix of a resistor network is the linear map from the potential at the boundary vertices to the net current at the boundary vertices. For circular planar resistor networks, Curtis, Ingerman, and Morrow have given a necessary and suffic
Externí odkaz:
http://arxiv.org/abs/1812.01517
Autor:
Alexandr, Yulia, Commins, Patricia, Embry, Alexandra, Frank, Sylvia, Li, Yutong, Vetter, Alexander
We explore combinatorial formulas for deformations of highest weight characters of the odd orthogonal group $SO(2n+1)$. Our goal is to represent these deformations of characters as partition functions of statistical mechanical models -- in particular
Externí odkaz:
http://arxiv.org/abs/1811.11879
Akademický článek
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Autor:
Commins, Patricia
Publikováno v:
Crain's Chicago Business. 9/6/93, Vol. 16 Issue 36, Economic development pT7. 1/4p.
Autor:
Commins, Patricia
Publikováno v:
Crain's Chicago Business. 8/9/93, Vol. 16 Issue 32, p41. 3/4p. 1 Color Photograph.