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Olivier Bourget

Associate Professor

FACULTAD DE MATEMÁTICAS, PUC

SANTIAGO, Chile

Mathematical Physics; Functional Analysis; Spectral Theory; Operator Theory; Evolution Equations

Mathematical Physics, UNIVERSITE JOSEPH FOURIER GRENOBLE 1. Francia, 2002

Associate Professor Full Time

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

FACULTAD DE MATEMATICAS

SANTIAGO, Chile

2012 - A la fecha
Assistent Professor Full Time

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

FACULTAD DE MATEMATICAS

SANTIAGO, Chile

2006 - 2011

Master theses:
Felipe Enrique Poblete Grandon, 2010, Absence of eigenvalues for two families of operators
Angélica María Vega Moreno, 2011, On eigenvectors regularity for a unitary operator
Lya Hurtado Guzman, 2020, Observables asymptotics on l2(Z) and consequences for short range potentials

PhD thesis
Julio Rincón Cristancho, 2012, On eigenvalues monotonicity (co-direction with Pr. R. Benguria)
Camilo Pérez Mella, 2019, On dwell probabilities, resonances and lifetimes (co-direction with Pr. C. Fernández)


Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential Article ISI/Scopus ANNALES HENRI POINCARE (2020)
On the spectral properties of non-selfadjoint discrete Schrödinger operators Article ISI/Scopus JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2020)
One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics Bourget, Olivier Article ISI MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY (2020)
Chirality induced interface currents in the Chalker-Goddington model Joye A. Article ISI SCOPUS JOURNAL OF SPECTRAL THEORY (2019)
CONSTRUCTION OF SOLUTIONS FOR SOME LOCALIZED NONLINEAR SCHRODINGER EQUATIONS bourget, O Article ISI SCOPUS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2019)
Resonances under rank-one perturbations Article ISI SCOPUS JOURNAL OF MATHEMATICAL PHYSICS (2017)
Energy-Time Uncertainty Principle and Lower Bounds on Sojourn Time Asch, Joachim; Bourget, Olivier; Corts, Victor; Fernandez, Claudio Article ISI SCOPUS ANNALES HENRI POINCARE (2016)
Spectral stability for compact perturbations of Toeplitz matrices Astaburuaga M.A.; bourget, O; Corts, V.H. Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2016)
Stability of the Electron Cyclotron Resonance Asch J.; bourget, O; Meresse, C Article ISI SCOPUS COMMUNICATIONS IN MATHEMATICAL PHYSICS (2016)
Commutation relations for unitary operators I bourget, O Article ISI SCOPUS Journal of Functional Analysis (2015)
Commutation relations for unitary operators II bourget, O Article ISI SCOPUS Journal of Approximation Theory (2015)
Spectral Stability of Unitary Network Models Asch J., Bourget O., Joye A. Article Rev. Math. Phys. (27) (2015)
On embedded bound states of unitary operators and their regularity bourget, O Article ISI SCOPUS Bulletin des Sciences Mathematiques (2013)
Dynamical Localization of the Chalker-Coddington Model far from Transition Asch J.; bourget, O; Joye A. Article ISI SCOPUS Journal of Statistical Physics (2012)
Localization Properties of the Chalker-Coddington Model Asch J.; bourget, O; Joye A. Article ISI SCOPUS ANNALES HENRI POINCARE (2010)
Absence of point spectrum for unitary operators bourget, O; Fernández, C. Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2008)
Absence of point spectrum for unitary operators Astaburuaga M.A., Bourget O., Cortes V.H., Fernandez C. Article J. of Differential Equations (2008)
Floquet operators without singular continuous spectrum bourget, O; Fernández, C. Article ISI SCOPUS JOURNAL OF FUNCTIONAL ANALYSIS (2006)
Floquet operators without singular continuous spectrum Astaburuaga M.A., Bourget O., Cortes V.H., Fernandez C. Article J. Funct. Anal. (2006)
Singular continuous Floquet operator for periodic quantum systems bourget, O Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2005)
Spectral analysis of unitary band matrices Bourget O., Howland J.S., Joye A. Article Comm. Math. Phys. (2003)
Singular continuous Floquet operator for systems with increasing gaps Bourget O. Article J. Math. Anal. Appl. (2002)
Singular continuous Floquet operator for periodic quantum systems Bourget O. Article J. Math. Anal. Appl. (0)


Singular continuous Floquet operator for systems with increasing gaps (vol 276, pg 28, 2002) bourget, O Errata ISI JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2004)


Spectral and Dynamical Properties of Unitary Network Models FONDECYT (1161732) Proyecto 2016-2020 Inv. Principal
PERTURBATIONS OF PURELY ABSOLUTELY CONTINUOUS QUANTUM SYSTEMS FONDECYT (1120786) Proyecto 2012-2016 Inv. Principal
DYNAMICAL AND SPECTRAL PROPERTIES OF UNITARY OPERATORS ECOS-CONICYT (ECOS-CONICYT C10E01) Proyecto 2011-2013 Coinvestigador(a)
LOCALIZATION AND DELOCALIZATION PHENOMENA FOR UNITARY BAND MATRICES FONDECYT (1080675) Proyecto 2008-2012 Inv. Principal
DYNAMICAL SYSTEMS IN QUANTUM MECHANICS FONDECYT (1050899) Proyecto 2005-2008 Inv. Principal
COMPORTEMENT A GRAND TEMPS DES SYSTEMES QUANTIQUES ECOS-CONICYT (ECOS-CONICYT C00E01) Proyecto 2001-2003 Postdoctorado


Spectral stability of unitary network models Asch J.; bourget, O; Joye A. Review ISI SCOPUS Reviews in Mathematical Physics (2015)

Olivier Bourget

Associate Professor

DEPARTAMENTO DE MATEMATICAS

FACULTAD DE MATEMÁTICAS, PUC

SANTIAGO, Chile

victor cortes

Profesor Asociado

Departamento de Matemática

Pontificia Universidad Católica de Chile

Santiago, Chile

Amal Taarabt

Profesor Asistente

Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

Gregorio Moreno

Associate professor

Mathematics

Pontificia Universidad Católica de Chile

Macul, Santiago, Chile

Olivier Bourget

Líneas de Investigación

Educación

Mathematical Physics, UNIVERSITE JOSEPH FOURIER GRENOBLE 1. Francia, 2002

Experiencia Académica

Associate Professor Full Time

Assistent Professor Full Time

Formación de Capital Humano

Article (23)

Errata (1)

Proyecto (6)

Spectral and Dynamical Properties of Unitary Network Models

PERTURBATIONS OF PURELY ABSOLUTELY CONTINUOUS QUANTUM SYSTEMS

DYNAMICAL AND SPECTRAL PROPERTIES OF UNITARY OPERATORS

LOCALIZATION AND DELOCALIZATION PHENOMENA FOR UNITARY BAND MATRICES

DYNAMICAL SYSTEMS IN QUANTUM MECHANICS

COMPORTEMENT A GRAND TEMPS DES SYSTEMES QUANTIQUES

Review (1)