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.
o X.Gong, L. Stolovitch, On neighborhoods of embedded complex tori, Math. Ann, (2024), p. 1-32.
o L. Stolovitch, X. Wu, Ueda foliation problem for complex tori, to appear in Bulletin of the Institute of Mathematics Academia, special issue in hnor of Yum-Tong Siu, 2026, p. 1-24.
o T. Koike, L. Stolovitch, On neighborhoods of projective space bundles over elliptic curves, to appear in Mathematical Research Letters, 2025, p. 1-18.
o X. Gong, L. Stolovitch, A survey on normal forms of real submanifolds with CR singularity, to appear in Several Complex Variables and Related Partial Differential Equations, Volume in honor of Peter Ebenfelt and Xiaojun Huang, Latin American Mathematics Series UFScar subseries, Springer, 2026, p .1-44.
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, Z. Zhao Local rigidity of actions of isometries on compact Riemannian manifolds, soumis publication, 2025, p. 1-62.
L. Stolovitch, X. Wu, On neighborhoods of embedded toroidal and Hopf manifolds and their foliations, soumis publication, 2025, p. 1-47.
J. Massetti, M. Procesi, L. Stolovitch, Resonant normal form for infinite dimensional vector fields]{{Invariant sets through} resonant normal form for infinite dimensional holomorphic vector fields, soumis publication, 2025, p. 1-30.
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