On the number of zeros of Abelian integrals: a constructive solution of the infinitesimal Hilbert sixteenth problem G Binyamini, D Novikov, S Yakovenko Inventiones mathematicae 181, 227-289, 2010 | 83 | 2010 |
Simple exponential estimate for the number of real zeros of complete Abelian integrals D Novikov, S Yakovenko Annales de l'institut Fourier 45 (4), 897-927, 1995 | 64 | 1995 |
Mystery of point charges A Gabrielov, D Novikov, B Shapiro Proceedings of the London Mathematical Society 95 (2), 443-472, 2007 | 60 | 2007 |
Trajectories of polynomial vector fields and ascending chains of polynomial ideals D Novikov, S Yakovenko Annales de l'institut Fourier 49 (2), 563-609, 1999 | 42 | 1999 |
Redundant Picard–Fuchs system for abelian integrals D Novikov, S Yakovenko Journal of Differential Equations 177 (2), 267-306, 2001 | 37 | 2001 |
Complex cellular structures G Binyamini, D Novikov Annals of Mathematics 190 (1), 145-248, 2019 | 35 | 2019 |
Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems D Novikov, S Yakovenko Electronic Research Announcements of the American Mathematical Society 5 (8 …, 1999 | 31 | 1999 |
Oscillation of Fourier integrals with a spectral gap A Eremenko, D Novikov Journal de mathématiques pures et appliquées 83 (3), 313-365, 2004 | 29 | 2004 |
Wilkie's conjecture for restricted elementary functions G Binyamini, D Novikov Annals of Mathematics 186 (1), 237-275, 2017 | 28 | 2017 |
Lectures on meromorphic flat connections D Novikov, S Yakovenko Normal forms, bifurcations and finiteness problems in differential equations …, 2004 | 26 | 2004 |
A tropical analog of Descartes’ rule of signs J Forsgård, D Novikov, B Shapiro International Mathematics Research Notices 2017 (12), 3726-3750, 2017 | 19 | 2017 |
Pseudo-abelian integrals: Unfolding generic exponential case M Bobieński, P Mardešić, D Novikov Journal of Differential Equations 247 (12), 3357-3376, 2009 | 17 | 2009 |
Pseudo-abelian integrals on slow-fast Darboux systems M Bobieński, P Mardešić, D Novikov Annales de l'Institut Fourier 63 (2), 417-430, 2013 | 15 | 2013 |
Pseudo-abelian integrals on slow-fast Darboux systems M Bobieński, P Mardešić, D Novikov Annales de l'Institut Fourier 63 (2), 417-430, 2013 | 15 | 2013 |
Meandering of trajectories of polynomial vector fields in the affine n-space D Novikov, S Yakovenko Publicacions Matemàtiques, 223-242, 1997 | 15 | 1997 |
The Pila–Wilkie theorem for subanalytic families: a complex analytic approach G Binyamini, D Novikov Compositio Mathematica 153 (10), 2171-2194, 2017 | 14 | 2017 |
On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems D Novikov arXiv preprint arXiv:0704.3217, 2007 | 14 | 2007 |
A complex analogue of the Rolle theorem and polynomial envelopes of irreducible differential equations in the complex domain D Novikov, S Yakovenko Journal of the London Mathematical Society 56 (2), 305-319, 1997 | 13 | 1997 |
Integral curvatures, oscillation and rotation of spatial curves around affine subspaces D Novikov, S Yakovenko Journal of Dynamical and Control Systems 2 (2), 157-191, 1996 | 13 | 1996 |
Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions D Novikov Proceedings of the American Mathematical Society 129 (12), 3753-3755, 2001 | 12 | 2001 |