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Carlos Humberto Vásquez Ehrenfeld

Full Professor

Pontificia Universidad Católica de Valparaiso

Valparaiso, Chile

Líneas de Investigación


Dynamical Systems, Smooth Ergodic Theory

Educación

  •  Mathematics, INSTITUTO NACIONAL DE MATEMÁTICA PURA E APLICADA (IMPA). Brasil, 2003
  •  Mathematics, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 1999
  •  Mathematic and Computation, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 1995

Experiencia Académica

  •   Full Professor Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO

    Science

    Valparaiso, Chile

    2008 - At present

  •   Assistant Professor Full Time

    UNIVERSIDAD CATOLICA DEL NORTE

    Sciences

    Antofagasta, Chile

    2005 - 2008

  •   Postdoctoral Full Time

    UNIVERSIDAD CATOLICA DEL NORTE

    Sciences

    Antofagasta, Chile

    2004 - 2005

Experiencia Profesional

  •   Chair of Mathematics Department Full Time

    PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAÍSO

    VALPARAISO, Chile

    2013 - 2015

  •   Director of PhD Program in Mathematics Other

    PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO

    Valparaiso, Chile

    2016 - At present

  •   Director of Master Program in Mathematics Other

    PONTIFICIA UNIVERSIDAD CATOLICA DE VAPARAISO

    Valparaíso, Chile

    2011 - 2012

  •   President of the Consortium PUCV-UTFSM-UV Ph.D. Program in Mathematics Other

    PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAISO

    Valparaiso, Chile

    2016 - 2016

  •   Member of evaluation committee at Faculty of Sciences Other

    PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAISO

    Valparaiso, Chile

    2011 - 2011

  •   Member of evaluation committee at Faculty of Sciences Other

    PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAISO

    Valparaiso, Chile

    2017 - At present

  •   Member of Fondecyt Study Group in Mathematics Part Time

    CONICYT

    Santiago, Chile

    2017 - Not Available

Formación de Capital Humano


Finished Master Theses
2016 Dynamics of automorphims on nilmanifold (Sebastian Ramirez, PUCV)
2016 Existence of absolutely continuos measures for interval maps (Rodrigo Castro PUCV)
2013 One-dimensional Man?e?'s hyperbolicity theorem (Romina Vicencio Cumillaf PUCV)
2012 Avila-Bochi-Herman Theorem (Diego Sanhueza, PUCV)

Finished Undergraduate Theses
2015 Exponential and logaritm functions: A learning proposal (Valentina Chaparro and Belen Luke, PUCV)


Difusión y Transferencia


2016 Talk "The Collatz Conjecture". Semana de la Matema?tica y de las Ciencias. Colegio Pedro de Valdivia, Pen?alolen
2016 Talk Mil cienti?ficos mil aulas: "Is it all solved in Math?"XXII Semana Nacional de la Ciencia y Tecnologi?a. Explora. Liceo Tecnico Profesional de Papudo
2013, Foro Panel, IV Feria Vocacional “Tu salto al futuro”, Instituto Rafael Arizti?a. Quillota.
2012, Talk Mil cienti?ficos mil aulas: "What the mathematicians do?" XVIII Semana Nacional de la Ciencia y la Tecnologi?a. Explora. Escuela Santa Clara, Valparai?so.
2012 Talk “Generalizations Conicals”,Proyecto Explora ED/15/043 Matema?quinas. Quilpue?


Premios y Distinciones

  •   Ph.D. Scholarship

    CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTIFICO E TECNOLOGICO

    Brasil, 2000

    Grant to follows the Ph.D program at Instituto Nacional de Matemática Pura e Aplicada (IMPA), Brasil.


 

Article (16)

Statistical stability of mostly expanding diffeomorphisms
Structure of accessibility classes
On mostly expanding diffeomorphisms
On the non-robustness of intermingled basins
A variational principle for impulsive semiflows
Lyapunov exponents for families of rotated linear cocycle
Maximal entropy measures for certain partially hyperbolic, derived from Anosov systems
STABLE ERGODICITY FOR PARTIALLY HYPERBOLIC ATTRACTORS WITH POSITIVE CENTRAL LYAPUNOV EXPONENTS
A continuous Bowen-Mane type phenomenon
Statistical stability for diffeomorphisms with dominated splitting
Statistical stability for diffeomorphisms with dominated splitting.
Stochastic stability of non-uniformly hyperbolic diffeomorphisms
Differentiability of solutions of second-order functional differential equations with unbounded delay
Differentiability of solutions of second-order functional differential equations with unbounded delay.
Differentiability of solutions of the second order abstract Cauchy problem
Almost periodic solutions of abstract retarded functional-differential equations with unbounded delay.

Proyecto (27)

Partial Hyperbolic Diffeomorphism with Multidimensional Center Direction.
Statistical properties of Partially Hyperbolic, Sequential and Contracting systems.
Fomento de una red de cooperación científica regional en sistemas dinámicos
Centro de Sistemas Dinámicos y temas afines
On the abundance of partially hyperbolic diffeomorphisms with non-zero central Lyapunov exponents and physical measures
On the abundance of partially hyperbolic diffeomorphisms with non-zero central Lyapunov exponents and physical measures
Biholomorphism in higher dimension=> critical points versus dominated splitting
Centro de sistemas dinámicos y temas relacionados
Inserción de investigadores jóvenes que contribuyan al fortalecimiento de la investigación y el postgrado en el Instituto de Matemáticas de la Pontificia Universidad Católica de Valparaíso.
Inserción de investigadores jóvenes que contribuyan al fortalecimiento de la investigación y el postgrado en el Instituto de Matemáticas de la Pontificia Universidad Católica de Valparaíso
Ergodic properties of partially hyperbolic diffeomorphisms
Ergodic properties of partially hyperbolic diffeomorphisms
Ergodic properties of partially hyperbolic diffeomorphisms
DySET
Dynamical Systems and Ergodic Theory
Statistical properties of dynamical systems with dominated splitting
Low dimentional dynamical systems
Statistical properties of dynamical systems with dominated splitting
Some probabilistic aspect of foliations and other dynamical systems
Some probabilistic aspect of foliations and other dynamical systems.
The South American Network on Dynamical Systems
Statistical properties of diffeomorphisms with weak forms of hyperbolicity
Fomento de una red de cooperación científica regional en sistemas dinámicos.
Low dimensional dynamical systems
On the abundance of partially hyperbolic diffeomorphisms with non-zero central Lyapunov exponents and physical measures
Statistical properties of dynamical systems with dominated splitting.
The South American Network on Dynamical Systems
27
Carlos Vásquez

Full Professor

Pontificia Universidad Católica de Valparaiso

Valparaiso, Chile

2
HERNAN HENRIQUEZ

Full professor

Matematica

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

1
Andres Navas

Full time Professor

Mathematics

DPTO DE MATEMATICA Y CC, USACH

Santiago, Chile