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Rafael Tiedra de Aldecoa

Associate Professor

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago de Chile, Chile

Spectral Theory, Mathematical Physics, Ergodic Theory

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

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

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


Stationary scattering theory for unitary operators with an application to quantum walks Tiedra de Aldecoa, R. Article ISI, SCOPUS Journal of Functional Analysis (2020)
Commutator criteria for strong mixing II. More general and simpler Richard, S.; Tiedra de Aldecoa, R. Article SCIELO Cubo (Temuco) - A Mathematical Journal (2019)
Quantum time delay for unitary operators: General theory Sambou D.; Tiedra de Aldecoa, R. Article ISI SCOPUS Reviews in Mathematical Physics (2019)
Quantum walks with an anisotropic coin II: scattering theory Richard, S; Suzuki, A; de Aldecoa, RT Article ISI SCOPUS LETTERS IN MATHEMATICAL PHYSICS (2019)
Degree, mixing, and absolutely continuous spectrum of cocycles with values in compact Lie groups Tiedra de Aldecoa, Rafael Article Academic Keys (A Higher Education Journals in Sciences) CrossRef DOIs databases Google Scholar AMS Digital Mathematics Registry EBSCOhost Excellence in Research for Australia (ERA Journal 2018 ID: 518) IndexCopernicus J-Gate ProQuest Scilit (Switzerland) Ulrichsweb Zentralblatt MATH Far East Journal of Dynamical Systems (2018)
Quantum walks with an anisotropic coin I: spectral theory Richard, S; Suzuki, A; de Aldecoa, RT Article ISI LETTERS IN MATHEMATICAL PHYSICS (2018)
Ruled Strips with Asymptotically Diverging Twisting Krejcirik, D; de Aldecoa, RT Article ISI SCOPUS ANNALES HENRI POINCARE (2018)
Commutator criteria for strong mixing Tiedra de Aldecoa, R. Article ISI SCOPUS ERGODIC THEORY AND DYNAMICAL SYSTEMS (2017)
Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition Richard, S.; Tiedra de Aldecoa, R. Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2017)
Spectral properties of horocycle flows for compact surfaces of constant negative curvature Rafael Tiedra de Aldecoa Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemática (2017)
Furstenberg Transformations on Cartesian Products of Infinite-Dimensional Tori Cecchi, PA; Aldecoa, RT Article ISI SCOPUS POTENTIAL ANALYSIS (2016)
Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides Richard, S.; Tiedra de Aldecoa, R. Article ISI SCOPUS BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE (2016)
Commutator methods for the spectral analysis of uniquely ergodic dynamical systems de Aldecoa, RT Article ISI SCOPUS Ergodic Theory and Dynamical Systems (2015)
THE ABSOLUTE CONTINUOUS SPECTRUM OF SKEW PRODUCTS OF COMPACT LIE GROUPS de Aldecoa, RT Article ISI SCOPUS Israel Journal of Mathematics (2015)
A few results on Mourre theory in a two-Hilbert spaces setting Richard, S; de Aldecoa, RT Article ISI SCOPUS Analysis and Mathematical Physics (2013)
Commutator methods for unitary operators Fernandez, C.; Richard, S; de Aldecoa, RT Article ISI SCOPUS JOURNAL OF SPECTRAL THEORY (2013)
Explicit formulas for the Schrodinger wave operators in R-2 Richard, S; de Aldecoa, RT Article ISI SCOPUS Comptes Rendus Mathematique (2013)
New Expressions for the Wave Operators of Schrodinger Operators in R-3 Richard, S; de Aldecoa, RT Article ISI SCOPUS Letters in Mathematical Physics (2013)
A formula relating sojourn times to the time of arrival in Hamiltonian dynamics Gournay A.; De Aldecoa R.T. Article ISI SCOPUS Journal of Physics A: Mathematical and Theoretical (2012)
SPECTRAL ANALYSIS OF TIME CHANGES OF HOROCYCLE FLOWS De Aldecoa R.T. Article ISI SCOPUS Journal of Modern Dynamics (2012)
Time delay is a common feature of quantum scattering theory Richard, S; Tiedra de Aldecoa, R. Article ISI SCOPUS Journal of Mathematical Analysis and Applications (2012)
Asymptotics Near +/- m of the Spectral Shift Function for Dirac Operators with Non-Constant Magnetic Fields de Aldecoa, RT Article ISI SCOPUS Communications in Partial Differential Equations (2011)
New Formulae for the Wave Operators for a Rank One Interaction Richard, S; de Aldecoa, RT Article ISI SCOPUS Integral Equations and Operator Theory (2010)
The method of the weakly conjugate operator: Extensions and applications to operators on graphs and groups Mantoiu, M.; Richard, S.; Tiedra de Aldecoa, R. Article Petroleum - Gas University of Ploiesti Bulletin (2009)
Anisotropic Lavine's formula and symmetrised time delay in scattering theory de Aldecoa, Rafael Tiedra Article ISI MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY (2008)
Generalized definition of time delay in scattering theory Gerard, Christian; de Aldecoa, Rafael Tiedra Article ISI JOURNAL OF MATHEMATICAL PHYSICS (2007)
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations Richard, Serge; de Aldecoa, Rafael Tiedra Article ISI JOURNAL OF FUNCTIONAL ANALYSIS (2007)
Spectral analysis for adjacency operators on graphs Mantoiu, Marius; Richard, Serge; de Aldecoa, Rafael Tiedra Article ISI ANNALES HENRI POINCARE (2007)
Spectral analysis for convolution operators on locally compact groups Mantoiu, M.; de Aldecoa, R. Tiedra Article ISI JOURNAL OF FUNCTIONAL ANALYSIS (2007)
Time delay and short-range scattering in quantum waveguides de Aldecoa, RT Article ISI ANNALES HENRI POINCARE (2006)
Toeplitz algebras and spectral results for the one-dimensional Heisenberg model Damak, Mondher; Mantoiu, Marius; de Aldecoa, Rafael Tiedra Article ISI JOURNAL OF MATHEMATICAL PHYSICS (2006)
On perturbations of Dirac operators with variable magnetic field of constant direction Richard, S; de Aldecoa, RT Article ISI JOURNAL OF MATHEMATICAL PHYSICS (2004)
The nature of the essential spectrum in curved quantum waveguides Krejcirik, D; de Aldecoa, RT Article ISI JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2004)


A new formula relating localisation operators to time operators Richard, S.; Tiedra de Aldecoa, R.; Benguria, R.; Friedman, E.; Mantoiu, M. BookSection (2012)


Spectral Theory and Mathematical Physics Mantoiu, M.; Raikov, G.; Tiedra de Aldecoa, R. ConferenceProceedingWhole Operator Theory: Advances and Applications (2016)


Commutators, dynamical systems, and quantum walks Tiedra de Aldecoa, Rafael Proyecto (2017)
Commutator methods for quantum Hamiltonians and dynamical systems Tiedra de Aldecoa, R. Proyecto (2013)


SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS Richard, S; de Aldecoa, RT Review ISI SCOPUS Reviews in Mathematical Physics (2013)
TIME DELAY AND CALABI INVARIANT IN CLASSICAL SCATTERING THEORY Gournay A.; Tiedra de Aldecoa, R. Review ISI SCOPUS Reviews in Mathematical Physics (2012)
TIME DELAY FOR DISPERSIVE SYSTEMS IN QUANTUM SCATTERING THEORY Tiedra de Aldecoa, R. Review ISI SCOPUS Reviews in Mathematical Physics (2009)

Rafael Tiedra

Associate Professor

Mathematics

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago de Chile, Chile

paulina cecchi

Investigadora postdoctoral

Centro de Modelamiento Matemático, Universidad de Chile

Santiago, Chile

Rafael Tiedra de Aldecoa

Líneas de Investigación

Educación

Physics, UNIVERSITE DE GENEVE. Suiza, 2005

Mathematics, UNIVERSITE DE GENEVE. Suiza, 2001

Experiencia Académica

Associate Professor Full Time

PhD student Full Time

Postdoc Full Time

Postdoc Full Time

Formación de Capital Humano

Article (33)

BookSection (1)

ConferenceProceedingWhole (1)

Proyecto (2)

Review (3)