Laurent Stolovitch

·         Publications

o    L. Stolovitch, Sur un théorème de Dulac, Ann. Inst. Fourier tome 44, 5 (1994), 1397-1433.

o    L. Stolovitch, Classification analytique de champs de vecteurs 1-résonnants 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 Sér. 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 singulières, Ergodic Theory Dynam. Systems 24(2004),5,1833-1863, Herman Memorial volume.

o    L. Stolovitch, Normalisation holomorphe d'algèbres 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-homogènes., 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. 

·         Preprints

·         M. Klimes, L. Stolovitch, Reversible parabolic diffeomorphisms of (C^2,0) and exceptional hyperbolic CR-singularities, soumis à publication, 2022, p. 1-111.

·         X. Gong, L. Stolovitch, On neighborhoods of embedded complex tori, soumis à publication, 2022, p. 1-23.

·         L. Stolovitch, Z. Zhao Local rigidity of actions of isometries on compact real analytic Riemannian manifolds, soumis à publication, 2023, p. 1-46.

·         L. Stolovitch, X. Wu, Ueda foliation problem for complex tori, soumis à publication, 2024, p. 1-24.

·         Lecture notes

·         J.-P. Ramis and L. Stolovitch, Divergent series and holomorphic dynamical systems Dvi, Ps, 1993, rédaction non publiée issue du mini-cours de J.-P. Ramis au SMS "Bifurcations et orbites périodiques des champs de vecteurs", Montréal 1992..

·         L. Stolovitch, Normal forms of holomorphic dynamical systems Pdf, 2007, rédaction de mon mini-cours au SMS "Systèmes dynamiques hamiltoniens et applications", paru dans "Hamiltonian dynamical systems and applications", 249--284, NATO Sci. Peace Secur. Ser. B Phys. Biophys., Springer, Dordrecht, 2008..

Dernière modification le 23 juillet 2010