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Carlos Humberto Vásquez Ehrenfeld

Full Professor

Pontificia Universidad Católica de Valparaiso

Valparaiso, Chile

Dynamical Systems, Smooth Ergodic Theory

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

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

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

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)

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?

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.


Statistical stability of mostly expanding diffeomorphisms Andersson, M; Vasquez, Carlos H. Article ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2020)
Structure of accessibility classes Rodriguez-Hertz, Jana; Vasquez, Carlos H. Article Wos DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2020)
On mostly expanding diffeomorphisms Andersson M.; Vasquez, CH Article ISI ERGODIC THEORY AND DYNAMICAL SYSTEMS (2018)
On the non-robustness of intermingled basins Ures, Raúl; Vásquez, Carlos H. Article SCOPUS ERGODIC THEORY AND DYNAMICAL SYSTEMS (2016)
A variational principle for impulsive semiflows Alves, Jos F.; Carvalho, Maria; Vsquez, Carlos H. Article ISI SCOPUS Journal of Differential Equations (2015)
Lyapunov exponents for families of rotated linear cocycle Valenzuela-Henriquez, P; Vasquez, CH Article ISI SCOPUS Nonlinearity (2015)
Maximal entropy measures for certain partially hyperbolic, derived from Anosov systems Buzzi J.; Fisher, T; Sambarino M.; Vásquez C. Article ISI SCOPUS Ergodic Theory and Dynamical Systems (2012)
STABLE ERGODICITY FOR PARTIALLY HYPERBOLIC ATTRACTORS WITH POSITIVE CENTRAL LYAPUNOV EXPONENTS Vasquez, CH Article ISI SCOPUS JOURNAL OF MODERN DYNAMICS (2009)
A continuous Bowen-Mane type phenomenon Munoz-Young, E; Navas A.; Pujals, E; Vasquez, CH Article ISI DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2008)
Statistical stability for diffeomorphisms with dominated splitting Vasquez, CH Article ISI SCOPUS ERGODIC THEORY AND DYNAMICAL SYSTEMS (2007)
Statistical stability for diffeomorphisms with dominated splitting. Vásquez, Carlos H. Article Ergodic Theory Dynam. Systems (2007)
Stochastic stability of non-uniformly hyperbolic diffeomorphisms Alves, JF; Araujo V.; Vasquez, CH Article ISI SCOPUS STOCHASTICS AND DYNAMICS (2007)
Differentiability of solutions of second-order functional differential equations with unbounded delay Henriquez, HR; Vasquez, CH Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2003)
Differentiability of solutions of second-order functional differential equations with unbounded delay. Henríquez, Hernán R.; Vásquez, Carlos H. Article J. Math. Anal. Appl. (2003)
Differentiability of solutions of the second order abstract Cauchy problem Henriquez, HR; Vasquez, CH Article ISI SCOPUS SEMIGROUP FORUM (2002)
Almost periodic solutions of abstract retarded functional-differential equations with unbounded delay. Henríquez, Hernán; Vásquez, Carlos H. Article ISI, SCOPUS ACTA APPLICANDAE MATHEMATICAE (1999)


Partial Hyperbolic Diffeomorphism with Multidimensional Center Direction. FONDECYT (1171427) Proyecto 2017-2020 Inv. Principal
Statistical properties of Partially Hyperbolic, Sequential and Contracting systems. Guiraud, Pierre; Saghin, Radu; Vásquez, Carlos H. Proyecto (2016)
Fomento de una red de cooperación científica regional en sistemas dinámicos PAI (80130017) Proyecto 2014-2014 Inv. Responsable
Centro de Sistemas Dinámicos y temas afines Navas, Andrés; Vásquez, Carlos H. Proyecto (2013)
On the abundance of partially hyperbolic diffeomorphisms with non-zero central Lyapunov exponents and physical measures FONDECYT (1130547) Proyecto 2013-2016 Inv. Principal
On the abundance of partially hyperbolic diffeomorphisms with non-zero central Lyapunov exponents and physical measures VRIEA PUCV (124.736/2013) Proyecto 2013-2016 Inv. Principal
Biholomorphism in higher dimension=> critical points versus dominated splitting FONDECYT (3120193) Proyecto 2012-2014 Inv. Patrocinante
Centro de sistemas dinámicos y temas relacionados PIA (act 1103) Proyecto 2012-2015 Inv. Principal
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. Vásquez, Carlos H.; Jorquera Eduardo; Menares, Ricardo Proyecto (2012)
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 PAI (79112019) Proyecto 2012-2014 Inv. Responsable
Ergodic properties of partially hyperbolic diffeomorphisms VRIEA-PUCV (124721) Proyecto 2010-2013 Inv. Principal
Ergodic properties of partially hyperbolic diffeomorphisms FONDECYT (1100547) Proyecto 2010-2012 Inv. Responsable
Ergodic properties of partially hyperbolic diffeomorphisms Vásquez, Carlos H. Proyecto (2010)
DySET Math-Amsud Proyecto 2009-2010 Inv. Principal
Dynamical Systems and Ergodic Theory Navas, Andrés; Vásquez, Carlos H. Proyecto (2008)
Statistical properties of dynamical systems with dominated splitting VRIEA-PUCV (124716) Proyecto 2008-2009 Inv. Principal
Low dimentional dynamical systems PIA (ACT-17) Proyecto 2007-2009 Coinvestigador(a)
Statistical properties of dynamical systems with dominated splitting FONDECYT (11060497) Proyecto 2007-2009 Inv. Responsable
Some probabilistic aspect of foliations and other dynamical systems FONDECYT (1060829) Proyecto 2006-2008 Coinvestigador(a)
Some probabilistic aspect of foliations and other dynamical systems. Navas, Andrés; Vásquez, Carlos H. Proyecto (2006)
The South American Network on Dynamical Systems Prosul-Brasil Proyecto 2006-2009 Inv. Principal
Statistical properties of diffeomorphisms with weak forms of hyperbolicity DGIP-UCN (10301201) Proyecto 2005-2006 Inv. Principal
Fomento de una red de cooperación científica regional en sistemas dinámicos. Ferreira Alves, José; Carlos H. Vásquez Proyecto (0)
Low dimensional dynamical systems Rivera-Letelier, Juan; Vásquez, Carlos H. Proyecto (0)
On the abundance of partially hyperbolic diffeomorphisms with non-zero central Lyapunov exponents and physical measures Vasquez, Carlos H. Proyecto (0)
Statistical properties of dynamical systems with dominated splitting. Vásquez, Carlos H. Proyecto (0)
The South American Network on Dynamical Systems Viana, Marcelo; Vásquez, Carlos H. Proyecto (0)

Carlos Vásquez

Full Professor

Pontificia Universidad Católica de Valparaiso

Valparaiso, Chile

HERNAN HENRIQUEZ

Full professor

Matematica

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

Andres Navas

Full time Professor

Mathematics

DPTO DE MATEMATICA Y CC, USACH

Santiago, Chile

Carlos Humberto Vásquez Ehrenfeld

Líneas de Investigación

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

Assistant Professor Full Time

Postdoctoral Full Time

Experiencia Profesional

Chair of Mathematics Department Full Time

Director of PhD Program in Mathematics Other

Director of Master Program in Mathematics Other

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

Member of evaluation committee at Faculty of Sciences Other

Member of evaluation committee at Faculty of Sciences Other

Member of Fondecyt Study Group in Mathematics Part Time

Formación de Capital Humano

Difusión y Transferencia

Premios y Distinciones

Ph.D. Scholarship

Article (16)

Proyecto (27)

Partial Hyperbolic Diffeomorphism with Multidimensional Center Direction.

Fomento de una red de cooperación científica regional en sistemas dinámicos

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

Ergodic properties of partially hyperbolic diffeomorphisms

Ergodic properties of partially hyperbolic diffeomorphisms

DySET

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

The South American Network on Dynamical Systems

Statistical properties of diffeomorphisms with weak forms of hyperbolicity