Fluctuations of eigenvalues of random normal matrices. Duke mathematical journal, vol.159, pp.31-81, 2011. ,
A direct approach to Bergman kernel asymptotics for positive line bundles, Arkiv för Matematik, vol.46, issue.2, pp.197-217, 2008. ,
Toeplitz quantization of Kähler manifolds and gl (N), N ? ? limits, Communications in Mathematical Physics, vol.165, issue.2, pp.281-296, 1994. ,
Introduction to Kähler quantization, Contemporary Mathematics, vol.260, p.91, 2000. ,
The Spectral Theory of Toeplitz Operators, Number 99 in Annals of Mathematics Studies, 1981. ,
Pseudo-differential operators and Gevrey classes, Annales de l'Institut Fourier, vol.17, issue.1, pp.295-323, 1967. ,
Sur la singularité des noyaux de Bergman et de Szegö, Journées équations aux dérivées partielles, pp.123-164, 1975. ,
Aspects Semi-Classiques de La Quantification Géométrique, 2000. ,
Berezin-Toeplitz Operators, a Semi-Classical Approach, Communications in Mathematical Physics, vol.239, issue.1-2, pp.1-28, 2003. ,
, Analytic Berezin-Toeplitz operators, 2019.
Entanglement entropy and Berezin-Toeplitz operators, Communications in Mathematical Physics, 2018. ,
Quantum tunneling of magnetization in small ferromagnetic particles, Physical review letters, vol.60, issue.8, p.661, 1988. ,
Low-energy spectrum of Toeplitz operators: The case of wells, Journal of Spectral Theory, vol.9, pp.79-125, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01361623
Low-energy spectrum of Toeplitz operators with a miniwell, Communications in Mathematical Physics, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01383403
WKB eigenmode construction for analytic Toeplitz operators. arXiv, 1901. ,
URL : https://hal.archives-ouvertes.fr/hal-01985540
Fractional exponential decay in the forbidden region for Toeplitz operators, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-02443353
Prequantum chaos: Resonances of the prequantum cat map, Journal of Modern Dynamics, vol.1, issue.2, pp.255-285, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00383049
Multiple wells in the semi-classical limit I, Communications in Partial Differential Equations, vol.9, issue.4, pp.337-408, 1984. ,
Résonances en limite semi-classique. Mémoires de la Société Mathématique de France, vol.24, pp.1-228, 1986. ,
Off-diagonal asymptotic properties of Bergman kernels associated to analytic Kähler potentials, International Mathematics Research Notices, p.81, 2018. ,
Quantitative upper bounds for Bergman kernels associated to smooth Kähler potentials, 2018. ,
, On a property of Bergman kernels when the Kähler potential is analytic, 2019.
Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions I, Annales Henri Poincaré, vol.5, issue.1, pp.1-73, 2004. ,
Rational invariant tori, phase space tunneling, and spectra for non-selfadjoint operators in dimension 2, Annales Scientifiques de l'ÉNS, vol.41, pp.513-573, 2008. ,
Two minicourses on analytic microlocal analysis, Algebraic and Analytic Microlocal Analysis, pp.483-540, 2013. ,
Random normal matrices, Bergman kernel and projective embeddings, Journal of High Energy Physics, vol.2014, issue.1, p.133, 2014. ,
, Harmonic integrals on strongly pseudo-convex manifolds: I. Annals of mathematics, pp.112-148, 1963.
, Harmonic integrals on strongly pseudo-convex manifolds: II. Annals of mathematics, pp.450-472, 1964.
Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: The case of discrete wells, 2018. ,
Théorie Spectrale Inverse Pour Les Opérateurs de Toeplitz 1D, Rennes, vol.1, 2014. ,
Estimations sur l'effet tunnel microlocal, Séminaire Équations aux dérivées partielles (Polytechnique), 1991. ,
Estimates on complex interactions in phase space, Mathematische Nachrichten, vol.167, issue.1, pp.203-254, 1994. ,
Precise exponential estimates in adiabatic theory, Journal of Mathematical Physics, vol.35, issue.8, pp.3889-3915, 1994. ,
An Introduction to Semiclassical and Microlocal Analysis, 2002. ,
Microlocal WKB expansions, Journal of functional analysis, vol.168, issue.2, pp.380-402, 1999. ,
Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2, Astérisque, vol.284, pp.181-244, 2003. ,
Macroscopic quantum tunneling and quantum-classical phase transitions of the escape rate in large spin systems, Physics Reports, vol.546, pp.1-60, 2015. ,
Asymptotics of Partial Density Functions for Divisors, The Journal of Geometric Analysis, pp.1-52, 2016. ,
Bohr-Sommerfeld Quantization Conditions for Nonselfadjoint Perturbations of Selfadjoint Operators in Dimension One, International Mathematics Research Notices, rnw309, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01226209
Analytic Bergman operators in the semiclassical limit. hal-01851770, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01851770
Singularites Analytiques Microlocales, Astérisque. Soc. Math. de France, vol.95, 1982. ,
Geometric bounds on the density of resonances for semiclassical problems. Duke mathematical journal, vol.60, pp.1-57, 1990. ,
Resonances associated to a closed hyperbolic trajectory in dimension 2, Asymptotic Analysis, vol.36, issue.2, pp.93-113, 2003. ,
Dynamical construction of Kähler-Einstein metrics, Nagoya Mathematical Journal, vol.199, pp.107-122, 2010. ,
Wentzel-Kramers-Brillouin method in the Bargmann representation, Physical Review A, vol.40, issue.12, p.6814, 1989. ,
, Quelques propriétés fondamentales des ensembles analytiques-réels. Commentarii Mathematici Helvetici, vol.33, pp.132-160, 1959.
Szegö kernels and a theorem of Tian, Int. Math. Research Notices, vol.6, 2000. ,
Interface asymptotics of partial Bergman kernels on S1-symmetric Kähler manifolds, Journal of Symplectic Geometry, vol.17, issue.3, pp.793-856, 2019. ,
, Semiclassical Analysis, vol.138, 2012.