Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Kevin Dilks"'
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
We introduce a new concept of resonance on discrete dynamical systems. Our main result is an equivariant bijection between plane partitions in a box under rowmotion and increasing tableaux under K-promotion, using a generalization of the equivariance
Externí odkaz:
https://doaj.org/article/b704c7b104fe48d785832ad840dd9d24
Autor:
Kevin Dilks
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AR,..., Iss Proceedings (2012)
Baxter numbers are known to count several families of combinatorial objects, all of which come equipped with natural involutions. In this paper, we add a combinatorial family to the list, and show that the known bijections between these objects respe
Externí odkaz:
https://doaj.org/article/7c4406f4b3c1479dbeb52a5f1f7b56a8
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AJ,..., Iss Proceedings (2008)
Let $W \ltimes L$ be an irreducible affine Weyl group with Coxeter complex $\Sigma$, where $W$ denotes the associated finite Weyl group and $L$ the translation subgroup. The Steinberg torus is the Boolean cell complex obtained by taking the quotient
Externí odkaz:
https://doaj.org/article/16eb802fd2c547c0b035483e22a87fc7
Publikováno v:
Journal of Combinatorial Theory, Series A. 164:72-108
In 2012, N. Williams and the second author showed that on order ideals of ranked partially ordered sets (posets), rowmotion is conjugate to (and thus has the same orbit structure as) a different toggle group action, which in special cases is equivale
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e7209f94f70e00384c619d286af503f
https://doi.org/10.1016/j.jcta.2018.12.007
https://doi.org/10.1016/j.jcta.2018.12.007
Publikováno v:
Scopus-Elsevier
We introduce a new concept of resonance on discrete dynamical systems. Our main result is an equivariant bijection between plane partitions in a box under rowmotion and increasing tableaux under K-promotion, using a generalization of the equivariance
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53e82376c7b57a462da4052a3375d06a
https://dmtcs.episciences.org/6394
https://dmtcs.episciences.org/6394
We introduce a new concept of resonance on discrete dynamical systems. This concept formalizes the observation that, in various combinatorially-natural cyclic group actions, orbit cardinalities are all multiples of divisors of a fundamental frequency
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60e78379321ae6659aa1cd2bf53470d7
Publikováno v:
HAL
Scopus-Elsevier
Scopus-Elsevier
Let $W \ltimes L$ be an irreducible affine Weyl group with Coxeter complex $\Sigma$, where $W$ denotes the associated finite Weyl group and $L$ the translation subgroup. The Steinberg torus is the Boolean cell complex obtained by taking the quotient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dcd1f0effe621a7a7243611504356a4e
https://doi.org/10.46298/dmtcs.3631
https://doi.org/10.46298/dmtcs.3631