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Depósito Digital de Documentos de la UAB Encontrados 24 registros  1 - 10siguientefinal  ir al registro: La búsqueda tardó 0.00 segundos. 
1.
54 p, 1.0 MB Topological Moduli Space for Germs of Holomorphic Foliations / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean-François (Institut de Mathématiques de Toulouse) ; Salem, Eliane (Sorbonne Université. Institut de Mathématiques de Jussieu-Paris Rive Gauche)
This work deals with the topological classification of germs of singular foliations on (ℂ2,0). Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices, and the projective holonomy representations and we compute the moduli space of topological classes in terms of the cohomology of a new algebraic object that we call group-graph. [...]
2020 - 10.1093/imrn/rny244
International Mathematics Research Notices, Vol. 2020, Issue 23 (November 2020) , p. 9228-9292  
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2.
Invariants of polynomial vector fields / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We characterize the existence of first integrals and invariants (first integrals depending on the time) for the polynomial vector fields which are invariant under an involution.
2023 - 10.1016/j.jde.2023.05.024
Journal of differential equations, Vol. 365 (August 2023) , p. 895-904  
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3.
230 p, 1.8 MB The range problem and dimension theory for the Cuntz semigroup / Vilalta Vila, Eduard ; Perera Domènech, Francesc, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
En aquesta tesi s'estudien diversos aspectes del semigrup de Cuntz associat a una C*-àlgebra, així com els anomenats semigrups de Cuntz abstractes. En particular, analitzem el problema del rang per la classe d'àlgebres AI separables, obtenint una caracterització completa. [...]
En esta tesis se estudian varios aspectos del semigrupo de Cuntz asociado a una C*-álgebra, así como los llamados semigrupos de Cuntz abstractos. En particular, analizamos el problema del rango para la clase de álgebras AI separables, obteniendo una caracterización completa. [...]
In this thesis various aspects of the Cuntz semigroup associated with a C*-algebra are studied, as well as the so-called abstract Cuntz semigroups. In particular, we analyze the rank problem by the class of separable AI algebras, obtaining a complete characterization. [...]
2022  
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4.
11 p, 967.8 KB Computation of topological phase diagram of disordered Pb1-x Snx Te using the kernel polynomial method / Varjas, Dániel (Delft University of Technology. Kavli Institute of Nanoscience) ; Fruchart, Michel (University of Chicago. James Franck Institute and Department of Physics) ; Akhmerov, Anton R. (Delft University of Technology. Kavli Institute of Nanoscience) ; Perez-Piskunow, Pablo M. (Institut Català de Nanociència i Nanotecnologia)
We present an algorithm to determine topological invariants of inhomogeneous systems, such as alloys, disordered crystals, or amorphous systems. Based on the kernel polynomial method, our algorithm allows us to study samples with more than 107 degrees of freedom. [...]
2020 - 10.1103/PhysRevResearch.2.013229
Physical Review Research, Vol. 2, Issue 1 (February-April 2020) , art. 13229  
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5.
181 p, 1009.7 KB Trivial 2-cocycles for invariants of mod p homology spheres and Perron's conjecture / Riba Garcia, Ricard ; Pitsch, Wolfgang, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
L'objectiu principal d'aquesta tesis és l'estudi de la conjectura de Perron. Aquesta conjectura afirma que certa funcio sobre el grup de Torelli mod p amb valors en Z/p és un invariant d'esferes d'homologia modul p. [...]
The main objective of this thesis is the study Perron's conjecture. This conjecture affirms that some function on the group of Torelli mod p, with values in Z/p, is an invariant of mod p homology spheres. [...]
[Bellaterra] : Universitat Autònoma de Barcelona, 2018.  
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6.
27 p, 505.8 KB Topological Classification of Quadratic Polynomial Differential Systems with a Finite Semi-Elemental Triple Saddle / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rezende, Alex C. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The study of planar quadratic differential systems is very important not only because they appear in many areas of applied mathematics but due to their richness in structure, stability and questions concerning limit cycles, for example. [...]
2016 - 10.1142/S0218127416501881
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 11 (2016) , p. 1650188 (26 pages)  
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7.
119 p, 2.0 MB The geometry of quadratic polynomial differential systems with a finite and an infinite saddle-node (C) / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rezende, Alex C. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. [...]
2015 - 10.1142/S0218127415300098
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 25 Núm. 3 (2015)  
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8.
30 p, 761.9 KB A formula for the Dubrovnik polynomial of rational knots / Caprau, Carmen (California State University (Estats Units d'Amèrica). Department of Mathematics) ; Urabe, Katherine (DataWORKS Educational Research (Estats Units d'Amèrica))
We provide a formula for the Dubrovnik polynomial of a rational knot in terms of the entries of the tuple associated with a braid-form diagram of the knot. Our calculations can be easily carried out using a computer algebra system.
2017 - 10.5565/PUBLMAT_61117_04
Publicacions matemàtiques, Vol. 61 Núm. 1 (2017) , p. 105-134 (Articles)  
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9.
33 p, 583.3 KB The geometry of quadratic polynomial differential systems with a finite and an infinite saddle-node (A,B) / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rezende, Alex C. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. [...]
2014 - 10.1142/S0218127414500448
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 24 Núm. 4 (2014) , p. 1450044 (30 pages)  
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10.
16 p, 744.9 KB Darboux integrability of polynomial differential systems in R^3 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this article we study the Darboux integrability of the polynomial differential systems x˙ = y − x2, y˙ = z − x, z˙ = −d − ax − by − cz. This system comes from the study of a Hopf bifurcation in slow-fast systems with two slow variables and one fast variable. [...]
2013
Bulletin of the Belgian Mathematical Society. Simon Stevin, Vol. 20 (2013) , p. 603-619  
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