Last update: October 28, 2017
The linked files are likely to slightly differ from the published versions.
Articles
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[1]
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D. Sepe and S. Vũ Ngọc, “Integrable
systems, symmetries and quantization,” Lett. Math. Phys., 2017.
To appear, (arXiv).
- [2]
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Á. Pelayo, T. Ratiu, and S. Vũ Ngọc,
“The
affine invariant of generalized semitoric systems,” Nonlinearity,
vol. 30, no. 11, 2017.
- [3]
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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]
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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]
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Á. Pelayo and S. Vũ Ngọc, “Sharp symplectic embeddings of
cylinders,” Indag. Math., vol. 27, no. 1, pp. 307–317, 2016.
(arXiv),
(hal).
- [6]
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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]
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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]
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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]
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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]
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S. Vũ Ngọc,
“Microlocal
normal forms for the magnetic Laplacian,” in Journées EDP,
(Roscoff), 2014.
- [11]
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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]
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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]
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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]
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Á. Pelayo and S. Vũ Ngọc, “Hofer’s question on intermediate
symplectic capacities,” Proc. London Math. Soc, 2015.
(arXiv).
- [15]
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Á. Pelayo and S. Vũ Ngọc, “Hamiltonian dynamics and symplectic
capacities.” This preprint was split into [14]
and [5], 2012,
(arXiv).
- [16]
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S. Vũ Ngọc, “De
l’autre côté du miroir... Le spectre,” Image des maths,
November 2013.
- [17]
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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]
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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]
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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]
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S. Vũ Ngọc,
“Spectral
invariants for coupled spin-oscillators,” in Séminaire X-EDP,
(IHES), 2011.
- [21]
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V. Guillemin, Á. Pelayo, S. Vũ Ngọc, and A. Weinstein,
“Remembering
Johannes J. Duistermaat,” Notices AMS, vol. 58, no. 06, 2011.
- [22]
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S. Vũ Ngọc, “Johannes Jisse (dit Hans) Duistermaat,” Gazette des mathématiciens, vol. 127, 2011.
- [23]
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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]
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Á. Pelayo and S. Vũ Ngọc,
“Constructing
integrable systems of semitoric type,” Acta Math., vol. 206,
pp. 93–125, 2011.
- [25]
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Á. Pelayo and S. Vũ Ngọc,
“Semitoric integrable
systems on symplectic 4-manifolds,” Invent. Math., vol. 177, no. 3,
pp. 571–597, 2009.
- [26]
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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]
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H. Dullin and S. Vũ Ngọc, “Symplectic invariants near
hyperbolic-hyperbolic points,” Regular & Chaotic Dyn, vol. 12, no. 6,
pp. 689–716, 2007.
- [28]
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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]
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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]
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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]
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E. Miranda and S. Vũ Ngọc,
“A
singular Poincaré lemma,” Int. Math. Res. Not., vol. 2005,
no. 1, pp. 27–45, 2005.
- [32]
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S. Vũ Ngọc,
“Systèmes
intégrables semi-classiques : du local au global.” Thèse d’Habilitation
à diriger des recherches, December 2003.
- [33]
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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]
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S. Vũ Ngọc,
“Moment
polytopes for symplectic manifolds with monodromy,” Adv. in Math.,
vol. 208, pp. 909–934, 2007.
- [35]
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H. Dullin and S. Vũ Ngọc,
“Vanishing
twist near focus-focus points,” Nonlinearity, vol. 17, no. 5,
pp. 1777–1785, 2004.
- [36]
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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]
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S. Vũ Ngọc, “The quantum birkhoff normal form and spectral
asymptotics,” in Journées EDP, (Évian), CNRS, 2006.
- [38]
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S. Vũ Ngọc,
“Invariants
symplectiques et semi-classiques des systèmes intégrables avec
singularités,” in Séminaire X-EDP, (École Polytechnique), janvier
2001.
- [39]
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S. Vũ Ngọc,
“On
semi-global invariants for focus-focus singularities,” Topology,
vol. 42, no. 2, pp. 365–380, 2003.
- [40]
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S. Vũ Ngọc,
“,” Letters in Mathematical Physics, vol. 55,
no. 3, pp. 205–217, 2001.
- [41]
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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]
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S. Vũ Ngọc,
“Quantum
monodromy in integrable systems,” Commun. Math. Phys., vol. 203,
no. 2, pp. 465–479, 1999.
- [43]
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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]
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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]
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S. Vũ Ngọc,
Sur le spectre des systèmes complètement intégrables
semi-classiques avec singularités.
PhD thesis, Institut Fourier, Université Grenoble 1, 1998.
- [46]
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S. Vũ Ngọc, “La recherche mathématique aux Pays-Bas,” TechnoPol’der, 1998.
(Ambassade de France aux Pays-Bas).
- [47]
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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]
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S. Vũ Ngọc, “Mémoire de magistère,” Master’s thesis, École
Normale Supérieure (Ulm), 1995.
Directeur du jury: Michel Duflo.
Books
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[49]
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S. Vũ Ngọc,
Systèmes intégrables semi-classiques: du local au global.
No. 22 in Panoramas et Syhthèses, SMF, 2006.
- [50]
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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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