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A class of asymptotically normal degenerate quasi U-statistics
(Springer HeidelbergHeidelbergAlemanha, 2011)
Random braid gates for topological quantum circuits
(Universidade Federal do Rio Grande do NorteBrasilUFRNPROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA, 2022-07-25)
Anyons are many-body states of electrons characterized by a permutation phase
between 0 and π. The non-abelian generalization of this concept was proposed
by Kitaev to make fault-tolerant quantum computers. For non-abelian ...
Módulos de permutação p-ádicos para p-grupos abelianos elementares
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2022-02-21)
Let $\Z_p$ be the ring of $p$-adic integers and $G$ be a finite $p$-group. Recently, MacQuarrie and Zalesskii characterized the $\Z_pG$-permutation modules by just looking at modules for $G/N$, where $N$ is a normal subgroup ...
Automorfismos dos 2-grupos de Suzuki
(Universidade Federal de Minas GeraisUFMG, 2015-04-06)
Suzuki 2-groups form an interesting class of finite 2-groups. They were introduced by Higman in 1961 and further studied by various authors. By definition, if G is a Suzuki 2-group, then a solvable subgroup of Aut(G) ...
Decomposability of high-dimensional diversity measures: Quasi-U-statistics, martingales and nonstandard asymptotics
(Elsevier IncSan DiegoEUA, 2009)
On The Diameter Of Rearrangement Problems
(Springer Verlag, 2014)
Orbital growth rates of ¿-categorical structures
(Universidad de los AndesMaestría en MatemáticasFacultad de CienciasDepartamento de Matemáticas, 2022-06-09)
This work studies the growth rate of the orbital profile function, which, for a permutation group G acting on a set E, counts the number of orbits of the natural action of G on n elements for each n. In particular, we ...
On the Geometry of Symmetry Breaking Inequalities
(SPRINGER INTERNATIONAL PUBLISHING AG, 2021)
Breaking symmetries is a popular way of speeding up the branch-and-bound method for symmetric integer programs. We study polyhedra that break all symmetries, namely, fundamental domains. Our long-term goal is to understand ...