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Topology of Random Real Hypersurfaces

Name: Topology of Random Real Hypersurfaces
Creator: Welschinger, Jean-Yves
Keywords: Ma trices aleatorias, Probability (math.PR), 14P25, 60D05, matrices aleatorias, Real algebraic manifolds, 16. Peace & justice, 01 natural sciences, 510, Variedades algebraicas reales, Polinomos aleatorios

Topología de hipersuperficies reales aleatorias

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 13 Nov 2015Embargo end date: 01 Jan 2014 Colombia, France Publisher:Universidad Nacional de ColombiaJournal:Revista Colombiana de Matemáticas, volume 49, pages 139-160 (issn: 0034-7426, eissn: 2357-4100,

Authors: Welschinger, Jean-Yves;

doi: 10.15446/recolma.v49n1.54176 , 10.48550/arxiv.1409.5679

arXiv: http://arxiv.org/abs/1409.5679

Topology of Random Real Hypersurfaces

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Abstract

Las siguientes son las notas de un mini curso que dí durante la escuela de verano CIMPA en Villa de Leyva, Colombia, en julio de 2014. El tema fue el trabajo que en conjunto se desarrolló con Damien Gayet sobre la topología de las hipersuperficies reales aleatorias, restringiéndonos al caso de los espacios proyectivos y enfocándonos en nuestras estimaciones inferiores. Particularmente, estimamos (por arriba y) por abajo la esperanza matemática de todos los números de Betti de las hipersuperficies reales proyectivas aleato- rias de grado d. De hecho, para cualquier hipersuperficie cerrada y conexa ∑ de Rn, estimamos por abajo la esperanza del número de componentes conexas de éstas hipersuperficies reales proyectivas aleatorias de grado d, las cuales son difeomorfas a ∑.

Countries

Colombia, France

Related Organizations

French National Centre for Scientific Research
France
National University of Colombia
Colombia
University of Lyon System
France
Claude Bernard University Lyon 1
France
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
France

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Keywords

Ma trices aleatorias, Probability (math.PR), 14P25, 60D05, matrices aleatorias, Real algebraic manifolds, 510, Variedades algebraicas reales, Polinomos aleatorios, Mathematics - Algebraic Geometry, Random polynomials, variedades algebraicas reales, 51 Matemáticas / Mathematics, FOS: Mathematics, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], [MATH]Mathematics [math], Random matrices, Algebraic Geometry (math.AG), Mathematics - Probability

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Topología de hipersuperficies reales aleatorias
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