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pro vyhledávání: '"Jean-Pierre Magnot"'
Autor:
Jean-Pierre Magnot
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 16, Iss 2, Pp 125-141 (2023)
We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization in
Externí odkaz:
https://doaj.org/article/005a0039394240c2a4fea84912a75152
Autor:
Jean-Pierre Magnot, Enrique G. Reyes
Publikováno v:
Symmetry, Vol 16, Iss 2, p 192 (2024)
We consider basic diffeological structures that can be highlighted naturally within the theory of the Vinogradov spectral sequence and equation manifolds. These interrelated features are presented in a rigorous and accurate way, that complements some
Externí odkaz:
https://doaj.org/article/3a50c3136d154b37be82af8a601191dd
Autor:
Jean-Pierre Magnot
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 14, Iss 1, Pp 19-47 (2021)
In this article, we examine the geometry of a group of Fourier-integral operators, which is the central extension of $Diff(S^1)$ with a group of classical pseudo-differential operators of any order. Several subgroups are considered, and the correspo
Externí odkaz:
https://doaj.org/article/74898c3969dd458c97148e4e6abfe73d
Autor:
Jean-Pierre Magnot
Publikováno v:
Heliyon, Vol 5, Iss 6, Pp e01821- (2019)
We describe the mathematical properties of pairwise comparisons matrices with coefficients in an arbitrary group. Inspired by the well-known mathematical structures of quantum gravity and lattice gauge theories in physics and by the application of th
Externí odkaz:
https://doaj.org/article/effe499c689c4ae3a3d309df24ba434c
Autor:
Jean-Pierre Magnot
Publikováno v:
Advances in Mathematical Physics, Vol 2018 (2018)
We describe a mathematical link between aspects of information theory, called pairwise comparisons, and discretized gauge theories. The link is made by the notion of holonomy along the edges of a simplex. This correspondence leads to open questions i
Externí odkaz:
https://doaj.org/article/81eb117893aa46ca882a2c281b1bc195
Autor:
Jean-Pierre Magnot
Publikováno v:
Journal of Mathematics, Vol 2017 (2017)
One of the goals of this article is to describe a setting adapted to the description of means (normalized integrals or invariant means) on an infinite product of measured spaces with infinite measure and of the concentration property on metric measur
Externí odkaz:
https://doaj.org/article/b0bf486cdb6a4254aa61e0dd382accf8
Autor:
Jean-Pierre Magnot
Publikováno v:
Mathematics, Vol 4, Iss 1, p 1 (2015)
We consider two principal bundles of embeddings with total space E m b ( M , N ) , with structure groups D i f f ( M ) and D i f f + ( M ) , where D i f f + ( M ) is the groups of orientation preserving diffeomorphisms. The aim of this paper is to de
Externí odkaz:
https://doaj.org/article/b0680a16721e482f944bd419f2df1a50
Publikováno v:
Revista de Métodos Cuantitativos para la Economía y la Empresa. 31:3-16
espanolEl objetivo de este trabajo es examinar como las personas perciben la correspondencia entre la escala Likert de 5 items y la escala de porcentaje (la correspondencia LS-PS en adelante). ?Los cinco elementos de la escala Likert son equidistante
Autor:
Jean-Pierre Magnot, Vladimir Rubtsov
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 207:458-488
Изучаются вопросы существования и единственности решений иерархии Кадомцева-Петвиашвили в алгебре формальных классических псевдодиф
Autor:
Jean-Pierre Magnot
Publikováno v:
Demonstratio Mathematica, Vol 53, Iss 1, Pp 112-120 (2020)
Demonstratio Mathematica
Demonstratio Mathematica, De Gruyter, 2020, 53 (1), pp.112-120
Demonstratio Mathematica
Demonstratio Mathematica, De Gruyter, 2020, 53 (1), pp.112-120
We examine how implicit functions on ILB-Fréchet spaces can be obtained without metric or norm estimates which are classically assumed. We obtain implicit functions defined on a domain D which is not necessarily open, but which contains the unit ope