Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Randriamaro, Hery"'
Autor:
Randriamaro, Hery
A theorem of Mandel allows to determine the covector set of an oriented matroid from its set of topes by using the composition condition. We provide a generalization of that result, stating that the covector set of a conditional oriented matroid can
Externí odkaz:
http://arxiv.org/abs/2309.10762
Autor:
Randriamaro, Hery
A lattice $L$ is said lowly finite if the set $[\mathsf{0},a]$ is finite for every element $a$ of $L$. We mainly aim to provide a complete proof that, if $M$ is a subset of a complete lowly finite distributive lattice $L$ containing its join-irreduci
Externí odkaz:
http://arxiv.org/abs/2101.06671
Autor:
Randriamaro, Hery
This article proves the existence of completely positive quasimultiplicative maps from the group algebra of imprimitive reflection groups to the set of bounded operators, and uses those linear maps to define creation and annihilation operators on the
Externí odkaz:
http://arxiv.org/abs/2008.11704
Autor:
Randriamaro, Hery
This article computes the Varchenko determinant of dehyperplane arrangements which are generalizations of pseudohyperplane arrangements. But unlike those latter, they are defined on a real manifold, and it is not always possible to obtain a central d
Externí odkaz:
http://arxiv.org/abs/2007.09048
Autor:
Randriamaro, Hery
Consider the regular representation of the sum over all permutations weighted by the sum of their descent, inversion, and fixed point multinomials. We compute the spectrum and the multiplicities of its elements of that matrix. Note that those multino
Externí odkaz:
http://arxiv.org/abs/2004.14417
Autor:
Randriamaro, Hery
Determining the number of pieces after cutting a cake is a classical problem. Roberts (1887) provided an exact solution by computing the number of chambers contained in a plane cut by lines. About 88 years later, Zaslavsky (1975) even computed the f-
Externí odkaz:
http://arxiv.org/abs/2003.02241
Autor:
Randriamaro, Hery
Varchenko introduced in 1993 a distance function on the chambers of a hyperplane arrangement that gave rise to a determinant whose entry in position $(C, D)$ is the distance between the chambers $C$ and $D$, and computed that determinant. In 2017, Ag
Externí odkaz:
http://arxiv.org/abs/2003.01970
Autor:
Randriamaro, Hery
This article computes the Tutte polynomial of the hyperplane arrangements associated to the complex reflection groups. The calculations are based on both formulas of De Concini and Procesi for Tutte polynomial and the normaliser of parabolic subgroup
Externí odkaz:
http://arxiv.org/abs/1911.08792
Autor:
Randriamaro, Hery
One usually thinks of a cat moving from one room to another in an apartment as random walk model. Imagine now that it also has the possibility to go from one apartment to another by crossing some corridors. That yields a new probabilistic model for w
Externí odkaz:
http://arxiv.org/abs/1910.01675
Autor:
Randriamaro, Hery
The quon algebra is an approach to particle statistics introduced by Greenberg in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. We generalize these models by introducing a deforma
Externí odkaz:
http://arxiv.org/abs/1905.06813