Articles
Resolvents of Bochner Laplacians in the semiclassical limit, 2023,
arXiv:2309.04955
On the spectrum of non degenerate magnetic Laplacian, 2021
to appear in Analysis and PDE ,
arXiv:2109.05508
Landau levels on a compact manifold, 2020
to appear in Annales Henri Lebesgue , arXiv:2012.14190
Asymptotic representations of Hamiltonian diffeomorphisms and quantization (with Leonid Polterovich),
Groups, Geometry and Dynamics , vol 16 (4), pp.1369-1387 (2022)
arXiv:2009.05856
Quantum propagation for Berezin-Toeplitz operators (with Yohann Le Floch) 2020,
arXiv:2009.05279
Analytic Berezin-Toeplitz operators,
Math. Zeitschrift, Vol 299, 1015-1035 (2021)
arXiv:1912.06819
On a quasimorphism of Hamiltonian diffeomorphisms and quantization, 2019,
to appear in Journal
of Symplectic Geometry ,
arXiv:1910.05073
Entanglement entropy and Berezin-Toeplitz operators (with Benoit Estienne) 2018,
Comm. Math. Phys., Vol 376 (2020), no. 1, 521-554
arXiv:1803.03149
Appendix of Inferring topology of quantum phase space by Leonid Polterovich
Journal of Applied and Computational Topology, (2018),
arXiv:1710.02983
Quantum speed limit vs. classical displacement energy (with Leonid Polterovich) 2016,
Annales Henri Poincaré, Vol 19 (2018), no. 4, 1215-1257,
arXiv:1609.05395
On the Witten asymptotic conjecture for Seifert manifolds, 2016,
arXiv:1605.04124
Torsion and symplectic volume in Seifert manifolds (with Lisa Jeffrey),
Bulletin de la SMF, Vol 146 (2018), arXiv:1511.00114
Sharp correspondence principle and quantum measurements (with Leonid Polterovich),
Algebra i Analiz, Vol 29 (2017), no. 1, 237-278, arXiv:1510.02450
Subprincipal symbols for Toeplitz operators,
Letter in Mathematical Physics, Vol 106 (2016), no. 12, 1673-1694, arXiv:1410.2066
Quantization of compact symplectic manifolds,
Journal of Geometric Analysis, Vol 26 (2016), no. 4, 2664-2710, arXiv:1409.8507
A note on the Bergman kernel,
Comptes Rendus Mathématiques, Vol 353 (2015), no. 2, p 121-125 [pdf].
Isospectrality for quantum toric integrable systems (with Alvaro Pelayo and San Vu Ngoc),
Annales Scientifiques de l'ENS, vol 46 (2013), no 5, p. 815-849, arXiv:1111.5985
Torus knot state asymptotics, 2011,
arXiv:1107.4692
Knot state asymptotics II, Witten conjecture and irreducible representations (with Julien Marché),
Publications Mathématiques de l'IHES, vol. 121, (2015), p 323-361, arXiv:1107.1646
Knot state asymptotics I, AJ Conjecture and abelian representations (with Julien Marché),
Publications Mathématiques de l'IHES, vol 121, (2015), p 279-322, arXiv:1107.1645
Asymptotic properties of the quantum
representations of the mapping class group,
Transactions of the AMS, vol. 368 (2016), 7507-7531,
[pdf],
A note on the Chern-Simons bundles and the
Mapping Class Group, 2010,
[pdf], version of September 2013.
Asymptotic properties of the quantum
representations of the modular group,
[pdf]
Transactions
of the AMS, vol. 364 (2012), arXiv:1005.3447.
A Lefschetz fixed point formula for
symplectomorphisms
Journal of Geometry and Physics, 60
(2010),
pp. 1890-1902, [pdf], arXiv:1005.3443.
Multicurves and
regular functions on the representation variety of a surface in
SU(2) (with Julien Marché)
Commentarii Mathematici Helvetici, Vol 87 (2012), p. 409-431 arXiv:0901.3064.
On the quantization of
polygon spaces,
Asian Journal of Math., Vol. 14.1. (2010), arXiv:0806.1585, [ps, pdf].
Spectral asymptotics via the semiclassical Birkhoff normal form (with San Vu Ngoc)
Duke Mathematical Journal, 143, (2008), no 3, p. 463--511, [ps, pdf]
Semi-classical properties of
geometric quantization with metaplectic correction
Comm. Math. Phys., 270, (2007), no. 2, p. 445-480, [ps, pdf]
Symbolic calculus for
Toeplitz operators with half-forms
Journal
of Symplectic Geometry, 4, (2006), no. 2, p. 171-198, [ps, pdf]
Toeplitz operators
and Hamiltonian Torus Action
Journal of Functional Analysis
236, (2006), no. 1, p. 299-350, ps
Quasimodes and Bohr-Sommerfeld conditions for the Toeplitz
operators
Comm. Partial Differential Equations 28, (2003),
no. 9-10, p. 1527--1566.
[ps,
pdf] (version corrigée)
Berezin-Toeplitz operators, a semi-classical approach
Comm. Math. Phys. 239, (2003), no. 1-2, p. 1--28.
[ps,
pdf (version corrigée)]
Feynman path integral and Toeplitz quantization
Helv. Phys. Acta 72, (1999), no. 5-6, p. 341--355.