Satellite Activities On MCA 2013

Minicourse: Spectral analysis of measurable dynamical systems.


Minicourse: Spectral analysis of measurable dynamical systems. Christopher Bose, University of Victoria, Canada. August 13-15, 2013.
CIMAT, Guanajuato, México
José Ángel Canavati Auditorium, CIMAT
11:00-12:00

* Lecture 1: Introduction to spectral analysis in ergodic theory. Transfer operators and associated spectral properties for invertible, measurepreserving dynamical systems. Spectral characterization of ergodicity, mixing and other levels in the dynamical hierarchy. Von Neumann's theorem and the discrete spectrum theorem as examples.

* Lecture 2: The theory for non-invertible, non-measure-preserving maps. The transfer operator for nonsingular systems. Quasi-compactness and dynamical consequences. The dynamical Perron-Frobenius theorem.

* Lecture 3: Spectral theory for expanding maps; theoretical and practical applications. The Lasota-Yorke inequality, quasi-compactness and a prelude to computational ergodic theory; Ulam's method as an example.

as well as specialized talks by researches and students.

Organizers:

Brazil - Mexico 1st Meeting on Singularities August the 1st to 3rd, 2013 in Queretaro, Mexico.


Brazil - Mexico 1st Meeting on Singularities August the 1st to 3rd, 2013.
Queretaro, Mexico.

This meeting is a satellite conference of the "Mathematical Congress of the Americas" to be held in Guanajuato Mexico from August 5th to 9th.

We expect this workshop to be a celebration of the existing cooperation between both communities as well as a way to strengthen it in the various aspects of singularity theory.

Some limited possibilities to cover local expenses of some participants are available. Priority will be given to students and young mathematicians.


ORGANIZING COMMITTE:

Gabriela Araujo, UNAM Querétaro, México
Herbert Kanarek, U. Guanajuato, México
Regilene Oliveira, Universidade de Sao Paulo, Sao Carlos, Brazil
Jawad Snoussi, UNAM Cuernavaca, México
Adrián Vázquez Ávila, IMATE Querétaro, UNAM, México
Jorge Olivares, CIMAT, México

SCIENTIFIC COMMITTEE:

Maria Aparecida Ruas, Universidade de Sao Paulo, Sao Carlos, Brazil
Marcelo Saia, Universidade de Sao Paulo, Sao Carlo, Brazil
Federico Sánchez Bringas, UNAM, México
José Seade Kuri, UNAM Cuernavaca, México
Jawad Snoussi, UNAM Cuernavaca, México

 

For more information please visit: www.matcuer.unam.mx/eventos/sing2013/

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