Alex

Associate professor

ORCID: 0000-0003-0377-8099

Knowledge area: Matemàtica Aplicada

Grup de Sistemes Dinàmics UB

Contact Information
Department of Mathematics and Computer Science
Gran Via 585
+34 934021634
alex(a)maia.ub.es

Academic training

Lic. Matemáticas . Universidad de Barcelona . 01/07/1992 . (Diploma / Degree / Activities)

Matemáticas . Universidad de Barcelona . 02/10/1998 . (Ph.D.)

Relevant publications (Journal Publications and Other publications - last 10 years)

Haro, Àlex.; Luque, Alejandro, 1974- (2019). A-posteriori KAM theory with optimal estimates for partially integrable systems. Journal of Differential Equations, 266(2-3), pp. 1605 - 1674 . Institutional Repository . ISSN: 0022-0396

Figueras, J.Ll.; Haro, À.; Luque, A. (2016). Rigorous computer assisted application of KAM theory: a modern approach. Foundations of Computational Mathematics, 17, pp. 1123 - 1193 . Institutional Repository . ISSN: 1615-3375

Canadell, Marta; Haro; Àlex (2017). Computation of Quasi-Periodic Normally Hyperbolic Invariant Tori: Algorithms, Numerical Explorations and Mechanisms of Breakdown. Journal of Nonlinear Science . https://doi.org/10.1007/s00332-017-9388-z . ISSN: 0938-8974

Canadell, Marta; Haro, Àlex (2017). Computation of Quasiperiodic Normally Hyperbolic Invariant Tori: Rigorous Results. Journal of Nonlinear Science . https://doi.org/10.1007/s00332-017-9389-y . ISSN: 0938-8974

Figueras, J.Ll; Haro, A.; (2015). Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps. Chaos, 25(12) . https://doi.org/10.1063/1.4938185 . ISSN: 1054-1500

Haro, A.; Puig, J. (2013). A Thouless formula and Aubry duality for long-range Schroedinger skew-products. Nonlinearity, 26(5), pp. 1163 - 1187 . https://doi.org/10.1088/0951-7715/26/5/1163 . ISSN: 0951-7715

Haro, A.; Canadell, M.; Figueras, J.Ll.; Luque, A.; Mondelo, J.M. (2016). The Parameterization Method for Invariant Manifolds. From Rigorous Results to Effective Computations . In Applied Mathematical Sciences . Volume. 195 . Springer USA . ISBN: 978-3-319-29662-3 . http://www.springer.com/us/book/9783319296609

González-Enríquez, A.; Haro, A.; de la Llave, R. (2014). Singularity theory for non-twist KAM tori . In Memoirs of the American Mathematical Society . Volume. 227 . Number. 1067 . (pp. 1 - 128) . American Mathematical Society (AMS) . ISBN: 978-0-8218-9018-9 .

Direction of Thesis, Minor Thesis and Research Reports (last 10 years)

Aida Chaikh Vidal . (2018) . Dynamical Billiards (Degree work) . Universitat de Barcelona.

Àlvar Pineda Romero . (2017) . Trajectory interpolation for inertial measurement simulation (Degree work) . Universitat de Barcelona.

Carles Raich Bros . (2017) . Siegel's Linearization Theorem (Degree work) . Universitat de Barcelona.

Lucía Alonso García . (2016) . Reaction-diffusion equations and pattern formation (Degree work) . Universitat de Barcelona.

Edelweiss Mármol Pérez . (2016) . Fractal study of tumors (Degree work) . Universitat de Barcelona.

Alberto García Molina . (2016) . The Michelson System (Degree work) . Universitat de Barcelona.

Marta Canadell Cano . (2014) . Computation of normally hyperbolic invariant manifolds (Ph.D. Thesis) . Universitat de Barcelona.

Eric Sandín . (2018) . Quasi-periodic solutions in quasi-periodic systems via Fourier transforms (Degree work) . Universitat de Barcelona.

Chanyan Wang . (2018) . The parameterization method for invariant manifolds of real-analytic dynamical systems (Degree work) . Universitat de Barcelona.

Other merits

Award Barcelona Dynamical Systems prize 2017 to J.-Ll. Figueras, A. Haro and A. Luque as the authors of the paper Rigorous Computer- Assisted Application of KAM Theory: A Modern Approach, Found Comput Math (2016) (doi:10.1007/s10208-016-9339-3).

The Barcelona Dynamical Systems Prize 2017 is an international prize offered by the Societat Catalana de Matemàtiques, under the patronage of Prof. Carles Simó, to the author or authors of a paper or research work in the area of Dynamical Systems, having been published or accepted for publication between May 1, 2015 and January 31, 2017.

The members of the Jury of the 2017 edition were: John Guckenheimer (Cornell University), Rick Moeckel (University of Minnesota), Anatoly Neishtadt (Loughborough University), Enrique Pujals (IMPA), Robert Roussarie (Université de Bourgogne) and Amadeu Delshams (UPC, secretary of the Jury without vote).

The R. E. Moore Prize for Applications of Interval Analysis (2018) for the paper J.-LL. Figueras, A. Haro, A. Luque, 'Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach', Foundations of Computational Mathematics, 17, 5, pp. 1123-1193 (2017)