Publications by Vũ Ngọc San

Last update: October 28, 2017



The linked files are likely to slightly differ from the published versions.

Articles

[1]
D. Sepe and S. Vũ Ngọc, “Integrable systems, symmetries and quantization,” Lett. Math. Phys., 2017. To appear, (arXiv).
[2]
Á. Pelayo, T. Ratiu, and S. Vũ Ngọc, “The affine invariant of generalized semitoric systems,” Nonlinearity, vol. 30, no. 11, 2017.
[3]
B. Helffer, Y. Kordyukov, N. Raymond, and S. Vũ Ngọc, “Magnetic wells in dimension three,” Anal. & PDE, vol. 9, no. 7, pp. 1575–1608, 2016. (arXiv), (hal).
[4]
A. Pelayo and S. Vũ Ngoc, “Spectral limits of semiclassical commuting self-adjoint operators,” in A mathematical tribute to Professor José María Montesinos Amilibia, pp. 527–546, Dep. Geom. Topol. Fac. Cien. Mat. UCM, Madrid, 2016. (arXiv).
[5]
Á. Pelayo and S. Vũ Ngọc, “Sharp symplectic embeddings of cylinders,” Indag. Math., vol. 27, no. 1, pp. 307–317, 2016. (arXiv), (hal).
[6]
Y. Le Floch, Á. Pelayo, and S. Vũ Ngọc, “Inverse spectral theory for semiclassical Jaynes-Cummings systems,” Math. Ann., vol. 364, no. 3, pp. 1393––1413, 2016. (arXiv).
[7]
N. Raymond and S. Vũ Ngọc, “Geometry and spectrum in 2D magnetic wells,” Ann. Inst. Fourier, vol. 65, no. 1, pp. 137–169, 2015. (arXiv), (hal).
[8]
Á. Pelayo, T. Ratiu, and S. Vũ Ngọc, “Fiber connectivity and bifurcation diagrams for almost toric systems,” Journal of Symplectic Geometry, vol. 13, 2015. (arXiv).
[9]
K. Ghomari, B. Messirdi, and S. Vũ Ngọc, “Asymptotic analysis for Schrödinger Hamiltonians via Birkhoff-Gustavson normal form,” Asymptotic Analysis, vol. 85, pp. 1–28, 2013.
[10]
S. Vũ Ngọc, “Microlocal normal forms for the magnetic Laplacian,” in Journées EDP, (Roscoff), 2014.
[11]
Á. Pelayo and S. Vũ Ngọc, “Semiclassical inverse spectral theory for singularities of focus-focus type,” Commun. Math. Phys., vol. 329, no. 2, pp. 809–820, 2014. (arXiv), (hal).
[12]
S. Vũ Ngọc and C. Wacheux, “Smooth normal forms for integrable hamiltonian systems near a focus–focus singularity,” Acta Math. Viet., vol. 38, no. 1, 2013.
[13]
Á. Pelayo, L. Polterovich, and S. Vũ Ngọc, “Semiclassical quantization and spectral limits of ℏ-pseudodifferential and Berezin-Toeplitz operators,” Proc. Lond. Math. Soc. (3), vol. 109, no. 3, pp. 676–696, 2014. (arXiv), (hal).
[14]
Á. Pelayo and S. Vũ Ngọc, “Hofer’s question on intermediate symplectic capacities,” Proc. London Math. Soc, 2015. (arXiv).
[15]
Á. Pelayo and S. Vũ Ngọc, “Hamiltonian dynamics and symplectic capacities.” This preprint was split into [14] and [5], 2012, (arXiv).
[16]
S. Vũ Ngọc, “De l’autre côté du miroir... Le spectre,” Image des maths, November 2013.
[17]
L. Charles, Á. Pelayo, and S. Vũ Ngọc, “Isospectrality for quantum toric integrable systems,” Ann. Sci. École Norm. Sup., vol. 43, pp. 815–849, 2013.
[18]
Á. Pelayo and S. V. Ngọc, “First steps in symplectic and spectral theory of integrable systems,” Discrete Contin. Dyn. Syst., vol. 32, no. 10, pp. 3325–3377, 2012.
[19]
Á. Pelayo and S. Vũ Ngọc, “Hamiltonian dynamics and spectral theory for spin-oscillators,” Comm. Math. Phys., vol. 309, no. 1, pp. 123–154, 2012.
[20]
S. Vũ Ngọc, “Spectral invariants for coupled spin-oscillators,” in Séminaire X-EDP, (IHES), 2011.
[21]
V. Guillemin, Á. Pelayo, S. Vũ Ngọc, and A. Weinstein, “Remembering Johannes J. Duistermaat,” Notices AMS, vol. 58, no. 06, 2011.
[22]
S. Vũ Ngọc, “Johannes Jisse (dit Hans) Duistermaat,” Gazette des mathématiciens, vol. 127, 2011.
[23]
Á. Pelayo and S. Vũ Ngọc, “Symplectic theory of completely integrable Hamiltonian systems,” Bull. Amer. Math. Soc. (N.S.), vol. 48, no. 3, pp. 409–455, 2011.
[24]
Á. Pelayo and S. Vũ Ngọc, “Constructing integrable systems of semitoric type,” Acta Math., vol. 206, pp. 93–125, 2011.
[25]
Á. Pelayo and S. Vũ Ngọc, “Semitoric integrable systems on symplectic 4-manifolds,” Invent. Math., vol. 177, no. 3, pp. 571–597, 2009.
[26]
S. Vũ Ngọc, “Symplectic inverse spectral theory for pseudodifferential operators,” in Geometric aspects of analysis and mechanics, vol. 292 of Progr. Math., pp. 353–372, Birkhäuser/Springer, New York, 2011.
[27]
H. Dullin and S. Vũ Ngọc, “Symplectic invariants near hyperbolic-hyperbolic points,” Regular & Chaotic Dyn, vol. 12, no. 6, pp. 689–716, 2007.
[28]
L. Charles and S. Vũ Ngọc, “Spectral asymptotics via the semiclassical birkhoff normal form,” Duke Math. J., vol. 143, no. 3, pp. 463–511, 2008.
[29]
S. Vũ Ngọc, “Quantum Birkhoff normal form and semiclassical analysis,” in Noncommutativity and Singularities, no. 55 in Adv. Studies in Pure Math., Mathematical Society of Japan, 2009.
[30]
M. Hitrik, J. Sjöstrand, and S. Vũ Ngọc, “Diophantine tori and spectral asymptotics for non-selfadjoint operators,” Amer. J. Math., vol. 169, no. 1, pp. 105–182, 2007.
[31]
E. Miranda and S. Vũ Ngọc, “A singular Poincaré lemma,” Int. Math. Res. Not., vol. 2005, no. 1, pp. 27–45, 2005.
[32]
S. Vũ Ngọc, “Systèmes intégrables semi-classiques : du local au global.” Thèse d’Habilitation à diriger des recherches, December 2003.
[33]
S. Vũ Ngọc, “Symplectic techniques for semiclassical completely integrable systems,” in Topological methods in the theory of integrable systems, pp. 241–270, Camb. Sci. Publ., Cambridge, 2006.
[34]
S. Vũ Ngọc, “Moment polytopes for symplectic manifolds with monodromy,” Adv. in Math., vol. 208, pp. 909–934, 2007.
[35]
H. Dullin and S. Vũ Ngọc, “Vanishing twist near focus-focus points,” Nonlinearity, vol. 17, no. 5, pp. 1777–1785, 2004.
[36]
R. Cushman and S. Vũ Ngọc, “Sign of the monodromy for Liouville integrable systems,” Annales Henri Poincaré, vol. 3, no. 5, pp. 883–894, 2002.
[37]
S. Vũ Ngọc, “The quantum birkhoff normal form and spectral asymptotics,” in Journées EDP, (Évian), CNRS, 2006.
[38]
S. Vũ Ngọc, “Invariants symplectiques et semi-classiques des systèmes intégrables avec singularités,” in Séminaire X-EDP, (École Polytechnique), janvier 2001.
[39]
S. Vũ Ngọc, “On semi-global invariants for focus-focus singularities,” Topology, vol. 42, no. 2, pp. 365–380, 2003.
[40]
S. Vũ Ngọc, “,Letters in Mathematical Physics, vol. 55, no. 3, pp. 205–217, 2001.
[41]
Y. Colin de Verdière and S. Vũ Ngọc, “Singular Bohr-Sommerfeld rules for 2D integrable systems,” Ann. Sci. École Norm. Sup. (4), vol. 36, pp. 1–55, 2003.
[42]
S. Vũ Ngọc, “Quantum monodromy in integrable systems,” Commun. Math. Phys., vol. 203, no. 2, pp. 465–479, 1999.
[43]
S. Vũ Ngọc, “Formes normales semi-classiques des systèmes complètement intégrables au voisinage d’un point critique de l’application moment,” Asymptotic Analysis, vol. 24, no. 3,4, pp. 319–342, 2000.
[44]
S. Vũ Ngọc, “Bohr-Sommerfeld conditions for integrable systems with critical manifolds of focus-focus type,” Comm. Pure Appl. Math., vol. 53, no. 2, pp. 143–217, 2000.
[45]
S. Vũ Ngọc, Sur le spectre des systèmes complètement intégrables semi-classiques avec singularités. PhD thesis, Institut Fourier, Université Grenoble 1, 1998.
[46]
S. Vũ Ngọc, “La recherche mathématique aux Pays-Bas,” TechnoPol’der, 1998. (Ambassade de France aux Pays-Bas).
[47]
S. Vũ Ngọc, “Indices de difféomorphismes de contact: exemple du tore en dimension 3,” Master’s thesis, Ecole Normale Supérieure Paris / UC Berkeley / Univ. Paris XI, 1994. Mémoire de DEA. Directeur: Alan Weinstein.
[48]
S. Vũ Ngọc, “Mémoire de magistère,” Master’s thesis, École Normale Supérieure (Ulm), 1995. Directeur du jury: Michel Duflo.

Books

[49]
S. Vũ Ngọc, Systèmes intégrables semi-classiques: du local au global. No. 22 in Panoramas et Syhthèses, SMF, 2006.
[50]
V. Matveev, E. Miranda, V. Roubtsov, S. Tabashnikov, and S. Vũ Ngọc, eds., Finite dimensional integrable systems: on the crossroad of algebra, geometry and physics, vol. 87 of Journal of Geometry and Physics. Elsevier, 2015.

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