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pro vyhledávání: '"Mitchell, P D"'
We obtain formulae for the minimum transformation degrees of the most well-studied families of finite diagram monoids, including the partition, Brauer, Temperley--Lieb and Motzkin monoids. For example, the partition monoid $\mathcal P_n$ has degree $
Externí odkaz:
http://arxiv.org/abs/2411.14693
There is strong evidence for the belief that `almost all' finite semigroups, whether we consider multiplication operations on a fixed set or their isomorphism classes, are nilpotent of index 3 (3-nilpotent for short). The only known method for counti
Externí odkaz:
http://arxiv.org/abs/2411.00466
We examine the solution of the Benjamin-Ono Cauchy problem for rational initial data in three types of double-scaling limits in which the dispersion tends to zero while simultaneously the independent variables either approach a point on one of the tw
Externí odkaz:
http://arxiv.org/abs/2410.21581
Autor:
Mitchell, James D., Whyte, Murray T.
Due to the theorems of Cayley and Vagner-Preston, the full transformation monoids and the symmetric inverse monoids play analogous roles in the theory of monoids and inverse monoids, as the symmetric group does in the theory of groups. Every presenta
Externí odkaz:
http://arxiv.org/abs/2406.19294
Autor:
Abram, Antoine, Hivert, Florent, Mitchell, James D., Novelli, Jean-Christophe, Tsalakou, Maria
Publikováno v:
EPTCS 403, 2024, pp. 12-17
In this paper we describe the quotients of several plactic-like monoids by the least congruences containing the relations $a^{\sigma(a)} = a$ with $\sigma(a)\ge 2$ for every generator $a$. The starting point for this description is the recent paper o
Externí odkaz:
http://arxiv.org/abs/2406.16387
In this paper we present a novel algorithm for computing a congruence on an inverse semigroup from a collection of generating pairs. This algorithm uses a myriad of techniques from computational group theory, automata, and the theory of inverse semig
Externí odkaz:
http://arxiv.org/abs/2406.09281
Autor:
Shen, Lu, Zakharov, Yuriy, Henson, Benjamin, Morozs, Nils, Parrein, Benoît, Mitchell, Paul D.
Underwater monitoring and surveillance systems are essential for underwater target detection, localization and classification. The aim of this work is to investigate the possibility of target detection by using data transmission between communication
Externí odkaz:
http://arxiv.org/abs/2312.11354
The height of a poset $P$ is the supremum of the cardinalities of chains in $P$. The exact formula for the height of the subgroup lattice of the symmetric group $\mathcal{S}_n$ is known, as is an accurate asymptotic formula for the height of the subs
Externí odkaz:
http://arxiv.org/abs/2310.08229
Autor:
Blaizot, Jeremy, Garel, Thibault, Verhamme, Anne, Katz, Harley, Kimm, Taysun, Michel-Dansac, Léo, Mitchell, Peter D., Rosdahl, Joakim, Trebitsch, Maxime
The Ly$\alpha$ line is a powerful probe of distant galaxies, which contains information about inflowing/outflowing gas through which Ly$\alpha$ photons scatter. To develop our understanding of this probe, we post-process a zoom-in radiation-hydrodyna
Externí odkaz:
http://arxiv.org/abs/2305.10047
In this short note, we show that the number of monogenic submonoids of the full transformation monoid of degree $n$ for $n > 0$, equals the sum of the number of cyclic subgroups of the symmetric groups on $1$ to $n$ points. We also prove an analogous
Externí odkaz:
http://arxiv.org/abs/2303.12387