Maher Zerzeri

Maître de conférences,

Intérêts Scientifiques :

Liste de publications

Semiclassical Gevrey operators and magnetic translations,
avec M. Hitrik, R. Lascar, J. Sjöstrand ;
Soumis le 19 septembre 2020, 28 pages. arXiv:/2009.09128.

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Semiclassical Gevrey operators in the complex domain,
avec M. Hitrik, R. Lascar, J. Sjöstrand ;
Soumis le 19 septembre 2020, 46 pages. arXiv:/2009.09125.

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Semiclassical Gevrey operators on exponentially weighted spaces of holomorphic functions,
avec M. Hitrik, R. Lascar, J. Sjöstrand ;
Prépublication, 15 pages. .

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An example of resonance instability,
avec J-F. Bony, S. Fujiié et T. Ramond ;
Soumis le 20 mai 2020, 14 pages. arXiv:/2005.10035.

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Resonances over a potential well in an island,
avec J. Sjöstrand ;
Soumis le 5 avril 2020, 54 pages. arXiv:/2004.02207.

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Landau-Zener Formula in a "Non-Adiabatic" regime for avoided crossings,
avec T. Watanabe ;
Soumis le 5 septembre 2019 , 49 pages. arXiv:/1909.03933.

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Mémoire de l'Habilitation à dirigée les recherches :
     Contributions à l'analyse semi-classique de certains objets spectraux via l'approche microlocale,
Soutenue le 13 mars 2019, 160 pages. .

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Barrier-top Resonances for non globally analytic potentials,
avec J-F. Bony, S. Fujiié et T. Ramond;
J. Spectr. Theory 9, no. 1, (2019), pp. 315 – 348. .
arXiv:1610.06384.

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Resonances for homoclinic trapped sets,
avec J-F. Bony, S. Fujiié et T. Ramond;
Astérisque, no. 405 (2018), vii+314 pages. .
arXiv:1603.07517.

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Propagation des singularités et résonances,
avec J-F. Bony, S. Fujiié et T. Ramond;
C. R. Math. Acad. Sci. Paris 355 (2017), no. 8, pp. 887 – 891, .

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Quantization condition for multi-barrier resonances,
avec J-F. Bony, S. Fujiié et T. Ramond;
Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics,
RIMS Kôkyûroku Bessatsu, B67,
Res. Inst. Math. Sci. (RIMS), Kyoto, 2017, pp. 43 – 53, .

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Rate of decay of some abstract Petrowsky-like dissipative semi-groups,
avec K. Ammari et M. Dimassi;
Semigroup Forum Volume 93 (2016), no. 1, pp. 1 – 16, .

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WKB solutions near an unstable equilibrium and applications,
avec J-F. Bony, S. Fujiié et T. Ramond;
Proceedings Workshop Spectral Analysis, Stability and Bifurcations
in Nonlinear Physical Systems, november 4 – 9, 2012, pp. 15 – 39,
Editors: Oleg N. Kirillov, Dmitry E. Pelinovsky, ISTE, Wiley (2014), .

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Width of resonances created by homoclinic orbits -isotropic fixed point case,
avec J-F. Bony, S. Fujiié et T. Ramond;
Spectral and scattering theory and related topics,
RIMS Kôkyûroku Bessatsu, B45,
Res. Inst. Math. Sci. (RIMS), Kyoto, 2014, pp. 31 – 43, .

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On the classical limit of self-interacting quantum field Hamiltonians with cutoffs,
avec Z. Ammari;
Hokkaido Math. J. 43 (2014), no. 3, pp. 385 – 425, .

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The rate at which energy decays in a viscously damped hinged Euler-Bernoulli beam,
avec K. Ammari et M. Dimassi;
J. Differential Equations 257 (2014), no. 9, pp. 3501 – 3520, .

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Resonances generated by a homoclinic curve,
avec J-F. Bony, S. Fujiié et T. Ramond;
Regularity and Singularity for Partial Differential Equations with Conservation Law,
RIMS Kôkyûroku, no. 1914, 2013, pp. 121 – 138, .

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Transition probability for multiple avoided crossings with a small gap through an exact WKB method and a microlocal approach,
avec T. Watanabe;
C. R. Math. Acad. Sci. Paris 350 (2012), no. 17-18, pp. 841 – 844, .

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A time-independent approach for the study of spectral shift function,
avec M. Dimassi;
C. R. Math. Acad. Sci. Paris 350 (2012), no. 7-8, pp. 375 – 378, .

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Spectral shift function for slowly varying perturbation of periodic Schrödinger operators,
avec M. Dimassi;
Cubo 14 (2012), no. 1, pp. 29 – 47, .

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Semiclassical width of resonances created by homoclinic orbits,
avec J-F. Bony, S. Fujiié et T. Ramond;
International Conference the 26th Matsuyama Camp, Recent Development on Partial Differential Equations,
(dedicated to the 60th Birthday of Professor Yoshinori Morimoto)
January 6-9, (2011), Lecture Notes, 9 pp. .

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Spectral Projection, Residue of the Scattering Amplitude and Schrödinger group expansion for barrier top resonances,
avec J-F. Bony, S. Fujiié et T. Ramond;
Annales de l'Institut Fourier vol. 61 no. 4 (2011), pp. 1351 – 1406, .

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Spectral shift function for perturbed periodic Schrödinger operators. The large-coupling constant limit case,
avec M. Dimassi;
Asymptot. Anal. 75 (2011), no. 3-4, pp. 233 – 250, .

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Long time behavior of the Schrödinger group associated with a potential maximum,
avec J-F. Bony, S. Fujiié et T. Ramond;
MRIT 6th Workshop--Math-for-Industry Tutorial:
Spectral theories of non-Hermitian operators and their application, 13 pp.
COE Lect. Note, 20, Kyushu Univ. Fac. Math., Fukuoka, 2009, .

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Propagation of microlocal solutions through a hyperbolic fixed point,
avec J-F. Bony, S. Fujiié et T. Ramond;
Differential equations and exact WKB analysis,
RIMS Kôkyûroku Bessatsu, B10, 2008, pp. 1 – 32. .

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Connection of WKB Solutions at a hyperbolic fixed point,
avec S. Fujiié;
Spectral and Scattering Theory and Related Topics,
RIMS Kôkyûroku, no. 1607, 2008, pp. 120 – 141, .

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Microlocal kernel of pseudodifferential operators at a hyperbolic fixed point,
avec J-F. Bony, S. Fujiié et T. Ramond;
Journal of Functional Analysis, Vol 252/1, 2007, pp. 68 – 125, .

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Bohr-Sommerfeld quantization condition derived by a microlocal WKB method,
avec S. Fujiié;
Vietnam J. Math. 32 (2004), Special Issue, pp. 153 – 160, .

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Quantum Monodromy for a Homoclinic orbit,
avec J-F. Bony, S. Fujiié et T. Ramond;
2^ème Colloque Tuniso-Francais d'Equations aux Dérivées Partielles, Hammamet, Septembre 2003, .

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A local trace formula for resonances of perturbed periodic Schrödinger operators,
avec M. Dimassi;
J. Funct. Anal. 198 (2003), no. 1, pp. 142 – 159, .

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Majoration du nombre de résonances près de l'axe réel pour une perturbation abstraite à support compact, du laplacien,
Comm. Partial Differential Equations 26 (2001), no. 11-12, pp. 2121 – 2188, .