Zobrazeno 1 - 10
of 216
pro vyhledávání: '"Mathonet, P."'
We consider the sequence of integers whose $n$th term has base-$p$ expansion given by the $n$th row of Pascal's triangle modulo $p$ (where $p$ is a prime number). We first present and generalize well-known relations concerning this sequence. Then, wi
Externí odkaz:
http://arxiv.org/abs/2201.06636
Autor:
Devillet, Jimmy, Mathonet, Pierre
We study the class of symmetric $n$-ary bands. These are $n$-ary semigroups $(X,F)$ such that $F$ is invariant under the action of permutations and idempotent, i.e., satisfies $F(x,\ldots,x)=x$ for all $x\in X$. We first provide a structure theorem f
Externí odkaz:
http://arxiv.org/abs/2004.12423
Publikováno v:
Beitr\"age zur Algebra und Geometrie / Contributions to Algebra and Geometry 63 (1) (2022) 149-166
Let $X$ be a nonempty set. Denote by $\mathcal{F}^n_k$ the class of associative operations $F\colon X^n\to X$ satisfying the condition $F(x_1,\ldots,x_n)\in\{x_1,\ldots,x_n\}$ whenever at least $k$ of the elements $x_1,\ldots,x_n$ are equal to each o
Externí odkaz:
http://arxiv.org/abs/1909.10412
Publikováno v:
Phys. Rev. A 94, 052332 (2016)
For two symmetric quantum states one may be interested in maximizing the overlap under local operations applied to one of them. The question arises whether the maximal overlap can be obtained by applying the same local operation to each party. We sho
Externí odkaz:
http://arxiv.org/abs/1606.02675
Autor:
Marichal, Jean-Luc, Mathonet, Pierre
Publikováno v:
Aequationes Mathematicae 91 (4) (2017) 601-618
The Jacobi identity is one of the properties that are used to define the concept of Lie algebra and in this context is closely related to associativity. In this paper we provide a complete description of all bivariate polynomials that satisfy the Jac
Externí odkaz:
http://arxiv.org/abs/1606.00790
Publikováno v:
European Journal of Operational Research 263 (2) (2017) 559-570
The structure signature of a system made up of $n$ components having continuous and i.i.d. lifetimes was defined in the eighties by Samaniego as the $n$-tuple whose $k$-th coordinate is the probability that the $k$-th component failure causes the sys
Externí odkaz:
http://arxiv.org/abs/1412.1613
Publikováno v:
Aequationes Mathematicae 89 (5) (2015) 1281-1291
We describe the class of polynomial functions which are barycentrically associative over an infinite commutative integral domain.
Externí odkaz:
http://arxiv.org/abs/1405.3597
Autor:
Marichal, Jean-Luc, Mathonet, Pierre
Publikováno v:
Statistics and Probability Letters 83 (3) (2013) 710-717
It is known that the Barlow-Proschan index of a system with i.i.d. component lifetimes coincides with the Shapley value, a concept introduced earlier in cooperative game theory. Due to a result by Owen, this index can be computed efficiently by integ
Externí odkaz:
http://arxiv.org/abs/1209.3163
Publikováno v:
Journal of Multivariate Analysis 134 (2015) 19-32
Considering a semicoherent system made up of $n$ components having i.i.d. continuous lifetimes, Samaniego defined its structural signature as the $n$-tuple whose $k$-th coordinate is the probability that the $k$-th component failure causes the system
Externí odkaz:
http://arxiv.org/abs/1208.5658
Autor:
Marichal, Jean-Luc, Mathonet, Pierre
Publikováno v:
Discrete Applied Mathematics 179 (2014) 13-27
The Banzhaf power and interaction indexes for a pseudo-Boolean function (or a cooperative game) appear naturally as leading coefficients in the standard least squares approximation of the function by a pseudo-Boolean function of a specified degree. W
Externí odkaz:
http://arxiv.org/abs/1201.3543