Laurent Stolovitch
Publications
o L. Stolovitch, Sur un th or me de Dulac, Ann. Inst. Fourier tome 44, 5 (1994), 1397-1433.
o L. Stolovitch, Classification analytique de champs de vecteurs 1-r sonnants de (C^n,0) , Asymptotic Analysis 12(1996), 91-143.
o
L. Stolovitch, Forme
normale de champs de vecteurs commutants, C. R. Acad. Sci. Paris S r. I Math. 324(1997),6,665-668 Dvi, Ps.
o L. Stolovitch, Singular complete integrability, Publ. Math. IHES 91(2000), 133-210.
o L. Stolovitch, Sur les structures de Poisson singuli res, Ergodic Theory Dynam. Systems 24(2004),5,1833-1863, Herman Memorial volume.
o L. Stolovitch, Normalisation holomorphe d'alg bres de type Cartan de champs de vecteurs holomorphes singuliers, Ann. of Math. 161(2005), 589-612.
o L. Stolovitch, A KAM phenomenon for singular holomorphic vector
fields, Publ. Math.
IHES 102(2005), 99-165.
o B. Braaksma and L. Stolovitch, Small divisors and large multipliers, Ann. Inst. Fourier,
57:603-628, 2007.
o L. Stolovitch, Progress in Normal form theory, Nonlinearity ,
22 (2009), no. 7, R77--R99.
o
L. Stolovitch, Forme
normale de perturbation de champs de vecteurs quasi-homog nes., C. R. Math. Acad. Sci. Paris , 347
(2009), no. 3-4, 143--146.
o L. Stolovitch, Rigidity of Poisson strucutres., Proceedings of the Steklov Institute of Mathematics , 267
(2009), 256--269.
o E. Lombardi and L. Stolovitch, Normal form of analytic perturbations of quasihomogeneous vector fields: rigidity, invariant
analytic sets and exponentially small approximation, Ann. Scient. Ec. Norm. Sup. , 43
(2010), 659 718.
o L. Stolovitch, Smooth Gevrey normal forms of vector fiels near a fixed point, Ann. Inst. Fourier, 63 (1) 2013, 241-267.
o B. Braaksma, G. Iooss, L. Stolovitch, Existence of Quasipattern Solutions of the
Swift Hohenberg Equation , Arch. Rational Mech. Anal., 2013,
209, 255-285, Erratum ARMA 211, 3 (2014), .
o L. Stolovitch, Family of intersecting totally real manifolds of (C^n, 0) and germs of holomorphic diffeomorphisms, Bull SMF,
2015, 143 (2) , 247 263.
o L. Stolovitch, Big denominators and analytic normal forms with an
appendix of M. Zhitomirskii, J. reine angew. Math. ,
710, 205-249 (2016). .
o C. Chavaudret and L. Stolovitch, Analytic
reducibility of resonant cocycles to a normal form, J. Inst. Math. Jussieu , 2016,
1(15) 203-223.
o X. Gong, L. Stolovitch, Real submanifolds of maximum complex tangent space at
a CR singular point I, Invent. Math., 2016,
206: 293-377.
o T. Paul, L. Stolovitch, Quantum singular
complete integrability, J. Funct. Anal., 271
(2016) 1377 1433.
o L. Stolovitch, F. Verstringe, Holomorphic normal form of nonlinear perturbations of
nilpotent vector fields, Regular and Chaotic dynamics, 2016, Vol. 21,
No. 4, pp. 410 436.
o
B. Braaksma, G. Iooss, L. Stolovitch Proof of quasipatterns for the Swift-Hohenberg
equation, Comm. Math. Phys., (2017), 353, 37-67.
o X. Gong, L. Stolovitch, Real submanifolds of
maximum complex tangent space at a CR singular point II, J. Differential Geometry,
112 (2019) 121-198.
o B. Lamel, L. Stolovitch Convergence of the Chern-Moser-Beloshapka
normal forms, J. reine angew. Math., (2019), 1-43.
o D. Bambusi, L. Stolovitch Convergence to normal forms of integrable PDEs, Comm. Math. Phys., 376, 1441 1470 (2020).
o K. Jiang, L. Stolovitch, Complete
integrability of diffeomorphisms and their local normal forms, Journal of
Dynamics and Differential Equations, 1-25p. (2020).
o X. Gong, L. Stolovitch, Equivalence of
neighborhoods of embedded compact complex manifolds and higher codimension
foliations, Arnold Math. J. (2021) p. 1-85.
o I. Kossovskiy,
B. Lamel, L. Stolovitch Equivalence of Cauchy-Riemann manifolds and multisummability theory, Adv. Math. (2021) p. 1-42.
o L. Stolovitch, Z. Zhao Geometry of hyperbolic Cauchy-Riemann singularities
and KAM-like theory for holomorphic involutions, Math. Ann. (2022) p. 1-86.
o M. Procesi, L. Stolovitch, About linearization of infinite-dimensional
Hamiltonian systems, Comm. Math. Phys., (2022), p. 1-34.
o Y. Mi , L. Stolovitch, On linearization of biholomorphism with
non-semi-simple linear part at a fixed point, J. Dyn. Diff. Equa. 2023, p. 1-23.
o X. Gong, L. Stolovitch, A structure theorem for neighborhoods of compact complex manifolds, J. Geom. Analysis, (2024), p. 1-30.
X.
Gong, L. Stolovitch, On neighborhoods of embedded
complex tori, Math. Ann, (2024), p. 1-32.
Preprints
M. Klimes, L. Stolovitch, Reversible parabolic diffeomorphisms of (C^2,0) and exceptional
hyperbolic CR-singularities, soumis publication, 2022, p. 1-111.
L. Stolovitch, Z. Zhao Local rigidity of actions of isometries on compact real analytic Riemannian manifolds, 2023, arXiv:2312.07045
p. 1-46.
L. Stolovitch, X. Wu, Ueda foliation problem for complex tori, soumis publication, 2024, p. 1-24.
L. Stolovitch, Z. Zhao Local rigidity of actions of isometries on compact Riemannian manifolds, soumis publication, 2025, p. 1-62.
T. Koike, L. Stolovitch On neighborhoods of projective space bundles over
elliptic curves, soumis publication, 2025, p. 1-18.
Lecture notes
J.-P. Ramis and L. Stolovitch, Divergent series and holomorphic dynamical systems Dvi, Ps, 1993, r daction non publi e issue du mini-cours de J.-P. Ramis au SMS "Bifurcations et orbites p riodiques des champs de vecteurs", Montr al 1992..
L. Stolovitch, Normal forms of holomorphic dynamical systems Pdf, 2007, r daction de mon mini-cours au SMS "Syst mes dynamiques hamiltoniens et applications", paru dans "Hamiltonian dynamical systems and applications", 249--284, NATO Sci. Peace Secur. Ser. B Phys. Biophys., Springer, Dordrecht, 2008..
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Derni re modification le 23 juillet 2010