Contributions of Mexican mathematicians abroad in pure and applied mathematics : second meeting, Matemáticos Mexicanos en el Mundo, December 15-19, 2014, Centro de Investigación en Matemáticas, Guanajuato, Mexico /
This volume contains the proceedings of the Second Workshop of Mexican Mathematicians Abroad (II Reunión de Matemáticos Mexicanos en el Mundo), held from December 15-19, 2014, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. This meeting was the second in a series of ongo...
Clasificación: | Libro Electrónico |
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Autor Corporativo: | |
Otros Autores: | , , |
Formato: | Electrónico Congresos, conferencias eBook |
Idioma: | Inglés |
Publicado: |
[Providence, Rhode Island] :
American Mathematical Society,
[2018]
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Colección: | Aportaciones matemáticas.
Contemporary mathematics (American Mathematical Society) ; v. 709. |
Temas: |
Dynamical systems and ergodic theory
> Random dynamical systems
> Multiplicative ergodic theory, Lyapunov exponents.
Group theory and generalizations
> Connections with homological algebra and category theory
> Cohomology of groups.
Dynamical systems and ergodic theory
> Smooth dynamical systems: general theory
> Smooth ergodic theory, invariant measures.
Algebraic geometry
> Projective and enumerative geometry
> Enumerative problems (combinatorial problems)
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Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title page; Contents; Preface; List of Talks and Speakers; List of Participants; On bounds for the energy of graphs and digraphs; 1. Introduction; 2. Energy of a graph; 3. Non commutative probability; 4. Bounds for the energy of graphs; 5. Energies of digraphs and matrices; 6. Some relations between energies of graphs, digraphs and matrices; 7. Energy of a vertex; References; The Atiyah-Singer cobordism invariance and the tangent groupoid; 1. Introduction; 2. Connes tangent groupoid and the deformation to the normal cone functor; 3. Index theory and deformation groupoids
- 4. Cobordism invariance of the index5. Analytic interpretation; References; Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems; 1. Introduction; 2. Non-autonomous dynamical systems; 3. Transfer operators and quasi-compactness; 4. Multiplicative ergodic theorems and coherent structures; 5. Numerical and computational aspects; 6. Applications to oceanic and atmospheric flows; Appendix A. Online resources for the visualization of oceanic and atmospheric flows; References
- Representation stability for the pure cactus group1. Introduction; 2. The space _{ } and its cohomology ring; 3. Representation stability and -modules; 4. Other examples; References; Two proofs of Taubes' theorem on strictly ergodic flows; 1. Introduction; 2. First proof; 3. Second proof; References; The fibers of the Prym map of étale cyclic coverings of degree 7; 1. Introduction; 2. Description of the Prym variety as product of Jacobians; 3. The number of isomorphism classes of coverings \overline; 4. Proof of the main theorem; References