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Rafael Tiedra de Aldecoa

Associate Professor

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago de Chile, Chile

Líneas de Investigación


Spectral Theory, Mathematical Physics, Ergodic Theory

Educación

  •  Physics, UNIVERSITE DE GENEVE. Suiza, 2005
  •  Mathematics, UNIVERSITE DE GENEVE. Suiza, 2001

Experiencia Académica

  •   Associate Professor Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Santiago, Chile

    2009 - A la fecha

  •   PhD student Full Time

    UNIVERSITE DE GENEVE

    Geneva, Suiza

    2001 - 2005

  •   Postdoc Full Time

    UNIVERSITE D'ORSAY

    Paris, Francia

    2005 - 2007

  •   Postdoc Full Time

    UNIVERSITE DE CERGY-PONTOISE

    Paris, Francia

    2007 - 2009

Formación de Capital Humano


Supervision:
11/2016 - 03/2020 Diomba Sambou, Postdoc, Pontifical Catholic University of Chile
11/2016 - 09/2017 Ruben Soza Cornejo, BSc Thesis, Pontifical Catholic University of Chile
09/2012 - 12/2013 Paulina Cecchi, MSc Thesis, University of Chile
09/2010-12/2010 Karen Corrales, MSc Tutorial, University of Chile



 

Article (33)

Stationary scattering theory for unitary operators with an application to quantum walks
Commutator criteria for strong mixing II. More general and simpler
Quantum time delay for unitary operators: General theory
Quantum walks with an anisotropic coin II: scattering theory
Degree, mixing, and absolutely continuous spectrum of cocycles with values in compact Lie groups
Quantum walks with an anisotropic coin I: spectral theory
Ruled Strips with Asymptotically Diverging Twisting
Commutator criteria for strong mixing
Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition
Spectral properties of horocycle flows for compact surfaces of constant negative curvature
Furstenberg Transformations on Cartesian Products of Infinite-Dimensional Tori
RESOLVENT EXPANSIONS AND CONTINUITY OF THE SCATTERING MATRIX AT EMBEDDED THRESHOLDS: THE CASE OF QUANTUM WAVEGUIDES
Commutator methods for the spectral analysis of uniquely ergodic dynamical systems
THE ABSOLUTE CONTINUOUS SPECTRUM OF SKEW PRODUCTS OF COMPACT LIE GROUPS
A few results on Mourre theory in a two-Hilbert spaces setting
Commutator methods for unitary operators
Explicit formulas for the Schrodinger wave operators in R-2
New Expressions for the Wave Operators of Schrodinger Operators in R-3
A formula relating sojourn times to the time of arrival in Hamiltonian dynamics
SPECTRAL ANALYSIS OF TIME CHANGES OF HOROCYCLE FLOWS
Time delay is a common feature of quantum scattering theory
Asymptotics Near +/- m of the Spectral Shift Function for Dirac Operators with Non-Constant Magnetic Fields
New Formulae for the Wave Operators for a Rank One Interaction
The method of the weakly conjugate operator: Extensions and applications to operators on graphs and groups
Anisotropic Lavine's formula and symmetrised time delay in scattering theory
Generalized definition of time delay in scattering theory
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations
Spectral analysis for adjacency operators on graphs
Spectral analysis for convolution operators on locally compact groups
Time delay and short-range scattering in quantum waveguides
Toeplitz algebras and spectral results for the one-dimensional Heisenberg model
On perturbations of Dirac operators with variable magnetic field of constant direction
The nature of the essential spectrum in curved quantum waveguides

BookSection (1)

A new formula relating localisation operators to time operators

ConferenceProceedingWhole (1)

Spectral Theory and Mathematical Physics

Proyecto (2)

Commutators, dynamical systems, and quantum walks
Commutator methods for quantum Hamiltonians and dynamical systems

Review (3)

SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS
TIME DELAY AND CALABI INVARIANT IN CLASSICAL SCATTERING THEORY
TIME DELAY FOR DISPERSIVE SYSTEMS IN QUANTUM SCATTERING THEORY
40
Rafael Tiedra

Associate Professor

Mathematics

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago de Chile, Chile

1
paulina cecchi

Investigadora postdoctoral

Centro de Modelamiento Matemático, Universidad de Chile

Santiago, Chile