Foto del docente

André Georges Martinez

Full Professor

Department of Mathematics

Academic discipline: MAT/07 Mathematical Physics

Publications

Duyckaerts T.; Grigis A.; Martinez A., Excited resonance widths for helmholtz resonators with straight neck, «JOURNAL OF SPECTRAL THEORY», 2020, 10, pp. 561 - 580 [Scientific article]

Setsuro Fujiie, Andre Martinez, Takuya Watanabe, Resonances for a system of Schr"odinger operators above an energy-level crossing, in: P. Miranda, N. Popoff, G. Raikov, Spectral Theory and Mathematical Physics, Charm, Springer Nature Switzerland, 2020, pp. 153 - 170 [Chapter or essay]

Martinez A.; Sordoni V., Widths of highly excited resonances in multidimensional molecular predissociation, «JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN», 2020, 72, pp. 687 - 730 [Scientific article]

Briet P.; Martinez A., Molecular dynamics at an energy-level crossing, «JOURNAL OF DIFFERENTIAL EQUATIONS», 2019, 267, pp. 5662 - 5700 [Scientific article]

Martinez André, Nakamura Shu, Sordoni Vania, Propagation of analytic singularities for short and long range perturbations of the free Schrodinger equation, in: Algebraic and Analytic Microlocal Analysis, AAMA, Evanston, Illinois, USA, 2012 and 2013, New York, Springer, 2018, pp. 575 - 587 [Chapter or essay]

Briet, Philippe; Martinez, André, Estimates on the molecular dynamics for the predissociation process, «JOURNAL OF SPECTRAL THEORY», 2017, 7, pp. 487 - 517 [Scientific article]

Fujiié, S.; Martinez, A; Watanabe, T., Molecular predissociation resonances near an energy-level crossing II: Vector field interaction, «JOURNAL OF DIFFERENTIAL EQUATIONS», 2017, 262, pp. 5880 - 5895 [Scientific article]Open Access

Venezia, Marzia Dalla; Martinez, André, Widths of Highly Excited Shape Resonances, «ANNALES HENRI POINCARE'», 2017, 18, pp. 1289 - 1304 [Scientific article]

Briet, Philippe; Martinez, ANDRE' GEORGES, Dynamique moléculaire de la prédissociation, «COMPTES RENDUS MATHÉMATIQUE», 2016, 354, pp. 912 - 915 [Scientific article]

Fujiie, Setsuro; Martinez, ANDRE' GEORGES; Watanabe, Takuya, Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction, «JOURNAL OF DIFFERENTIAL EQUATIONS», 2016, 260, pp. 4051 - 4085 [Scientific article]Open Access

Martinez, ANDRE' GEORGES; Nédélec, Laurence, Optimal Lower Bound of the Resonance Widths for the Helmholtz Resonator, «ANNALES HENRI POINCARE'», 2016, 17, pp. 645 - 672 [Scientific article]

Duyckaerts, Thomas; Grigis, Alain; Martinez, ANDRE' GEORGES, Resonance widths for general Helmholtz resonators with straight neck, «DUKE MATHEMATICAL JOURNAL», 2016, 165, pp. 2793 - 2810 [Scientific article]Open Access

Martinez, André; Sordoni, Vania, On the born-oppenheimer approximation of diatomic molecular resonances, «JOURNAL OF MATHEMATICAL PHYSICS», 2015, 56, Article number: 102102 , pp. 1 - 18 [Scientific article]

Alain Grigis; André Martinez, Resonance widths in a case of multidimensional phase space tunneling, «ASYMPTOTIC ANALYSIS», 2015, 91, pp. 33 - 90 [Scientific article]

Alain Grigis; André Martinez, Resonance widths for the molecular predissociation, «ANALYSIS & PDE», 2014, 7, pp. 1027 - 1055 [Scientific article]