×
Author ID: novikov.dmitry Recent zbMATH articles by "Novikov, Dmitry"
Published as: Novikov, Dmitry; Novikov, D.; Novikov, Dmitri; Novikov, D. I.
Homepage: http://www.wisdom.weizmann.ac.il/~dnovikov/
External Links: MGP · Math-Net.Ru

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 324 times in 206 Documents Cited by Year
On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem. Zbl 1207.34039
Binyamini, Gal; Novikov, Dmitry; Yakovenko, Sergei
47
2010
Simple exponential estimate for the number of real zeros of complete abelian integrals. Zbl 0832.58028
Novikov, Dmitri; Yakovenko, Sergei
25
1995
Mystery of point charges. Zbl 1128.31001
Gabrielov, A.; Novikov, D.; Shapiro, B.
23
2007
Trajectories of polynomial vector fields and ascending chains of polynomial ideals. Zbl 0947.37008
Novikov, Dmitri; Yakovenko, Sergei
20
1999
Complex cellular structures. Zbl 1448.14056
Binyamini, Gal; Novikov, Dmitry
19
2019
Wilkie’s conjecture for restricted elementary functions. Zbl 1383.11090
Binyamini, Gal; Novikov, Dmitry
18
2017
Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems. Zbl 0922.58076
Novikov, D.; Yakovenko, S.
16
1999
Oscillation of Fourier integrals with a spectral gap. Zbl 1080.30025
Eremenko, A.; Novikov, D.
13
2004
Redundant Picard-Fuchs system for abelian integrals. Zbl 1011.37042
Novikov, D.; Yakovenko, S.
12
2001
On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems. Zbl 1167.32005
Novikov, Dmitry
10
2009
Pseudo-abelian integrals: unfolding generic exponential case. Zbl 1197.34046
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry
10
2009
Pseudo-abelian integrals on slow-fast Darboux systems. (Intégrales pseudo-abéliennes sur des systèmes lent-rapide de Darboux.) Zbl 1278.34031
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry
9
2013
The Pila-Wilkie theorem for subanalytic families: a complex analytic approach. Zbl 1427.11052
Binyamini, Gal; Novikov, Dmitry
8
2017
Oscillation of functions with a spectral gap. Zbl 1064.46026
Eremenko, A.; Novikov, D.
7
2004
A tropical analog of Descartes’ rule of signs. Zbl 1405.14140
Forsgård, Jens; Novikov, Dmitry; Shapiro, Boris
7
2017
Meandering of trajectories of polynomial vector fields in the affine \(n\)-space. Zbl 0878.34026
Novikov, D.; Yakovenko, S.
6
1997
Multiplicities of Noetherian deformations. Zbl 1332.32010
Binyamini, Gal; Novikov, Dmitry
6
2015
Linear estimate for the number of zeros of abelian integrals. Zbl 1418.34074
Novikov, Dmitry; Malev, Sergey
6
2017
On the finite cyclicity of open period annuli. Zbl 1205.34030
Gavrilov, Lubomir; Novikov, Dmitry
6
2010
Quasialgebraic functions. Zbl 1241.34036
Binyamini, G.; Novikov, D.; Yakovenko, S.
5
2011
Bounding the length of iterated integrals of the first nonzero Melnikov function. Zbl 1418.34075
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie
5
2018
Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions. Zbl 0983.34019
Novikov, D.
4
2001
Integral curvatures, oscillation and rotation of spatial curves around affine subspaces. Zbl 0953.53003
Novikov, D.; Yakovenko, S.
4
1996
A complex analogue of the Rolle theorem amd polynomial envelopes of irreducible differential equations in the complex domain. Zbl 0892.34002
Novikov, D.; Yakovenko, S.
4
1997
Point counting and Wilkie’s conjecture for non-Archimedean Pfaffian and Noetherian functions. Zbl 1519.11071
Binyamini, Gal; Cluckers, Raf; Novikov, Dmitry
4
2022
Modules of the abelian integrals and the Picard-Fuchs systems. Zbl 1073.14513
Novikov, D.
3
2002
Multiplicity operators. Zbl 1336.32010
Binyamini, Gal; Novikov, Dmitry
3
2015
Intersection multiplicities of noetherian functions. Zbl 1253.32008
Binyamini, Gal; Novikov, Dmitry
3
2012
Infinite orbit depth and length of Melnikov functions. Zbl 1435.37086
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie
3
2019
On the number of zeros of Melnikov functions. Zbl 1243.34042
Benditkis, Sergey; Novikov, Dmitry
3
2011
The Yomdin-Gromov algebraic lemma revisited. Zbl 1502.14143
Binyamini, Gal; Novikov, Dmitry
3
2021
Quasialgebraicity of Picard-Vessiot fields. Zbl 1058.34120
Novikov, Dmitry; Yakovenko, Sergei
2
2003
Unimodularity of Poincaré polynomials of Lie algebras for semisimple singularities. Zbl 1143.32017
Jibladze, Mamuka; Novikov, Dmitry
2
2007
Wilkie’s conjecture for Pfaffian structures. Zbl 07817080
Binyamini, Gal; Novikov, Dmitry; Zak, Benny
2
2024
Tameness in geometry and arithmetic: beyond o-minimality. Zbl 07823028
Binyamini, Gal; Novikov, Dmitry
2
2023
Simple exponential estimate for the number of real zeros of complete Abelian integrals. Zbl 0826.34032
Novikov, Dmitri; Yakovenko, Sergej
1
1995
A direct proof of Gromov’s theorem. Zbl 1190.53036
Burago, Yu. D.; Malev, S. G.; Novikov, D. I.
1
2009
On global non-oscillation of linear ordinary differential equations with polynomial coefficients. Zbl 1354.34141
Novikov, Dmitry; Shapiro, Boris
1
2016
Linear first order differential operators and their Hutchinson invariant sets. Zbl 1540.37068
Alexandersson, Per; Hemmingsson, Nils; Novikov, Dmitry; Shapiro, Boris; Tahar, Guillaume
1
2024
Wilkie’s conjecture for Pfaffian structures. Zbl 07817080
Binyamini, Gal; Novikov, Dmitry; Zak, Benny
2
2024
Linear first order differential operators and their Hutchinson invariant sets. Zbl 1540.37068
Alexandersson, Per; Hemmingsson, Nils; Novikov, Dmitry; Shapiro, Boris; Tahar, Guillaume
1
2024
Tameness in geometry and arithmetic: beyond o-minimality. Zbl 07823028
Binyamini, Gal; Novikov, Dmitry
2
2023
Point counting and Wilkie’s conjecture for non-Archimedean Pfaffian and Noetherian functions. Zbl 1519.11071
Binyamini, Gal; Cluckers, Raf; Novikov, Dmitry
4
2022
The Yomdin-Gromov algebraic lemma revisited. Zbl 1502.14143
Binyamini, Gal; Novikov, Dmitry
3
2021
Complex cellular structures. Zbl 1448.14056
Binyamini, Gal; Novikov, Dmitry
19
2019
Infinite orbit depth and length of Melnikov functions. Zbl 1435.37086
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie
3
2019
Bounding the length of iterated integrals of the first nonzero Melnikov function. Zbl 1418.34075
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie
5
2018
Wilkie’s conjecture for restricted elementary functions. Zbl 1383.11090
Binyamini, Gal; Novikov, Dmitry
18
2017
The Pila-Wilkie theorem for subanalytic families: a complex analytic approach. Zbl 1427.11052
Binyamini, Gal; Novikov, Dmitry
8
2017
A tropical analog of Descartes’ rule of signs. Zbl 1405.14140
Forsgård, Jens; Novikov, Dmitry; Shapiro, Boris
7
2017
Linear estimate for the number of zeros of abelian integrals. Zbl 1418.34074
Novikov, Dmitry; Malev, Sergey
6
2017
On global non-oscillation of linear ordinary differential equations with polynomial coefficients. Zbl 1354.34141
Novikov, Dmitry; Shapiro, Boris
1
2016
Multiplicities of Noetherian deformations. Zbl 1332.32010
Binyamini, Gal; Novikov, Dmitry
6
2015
Multiplicity operators. Zbl 1336.32010
Binyamini, Gal; Novikov, Dmitry
3
2015
Pseudo-abelian integrals on slow-fast Darboux systems. (Intégrales pseudo-abéliennes sur des systèmes lent-rapide de Darboux.) Zbl 1278.34031
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry
9
2013
Intersection multiplicities of noetherian functions. Zbl 1253.32008
Binyamini, Gal; Novikov, Dmitry
3
2012
Quasialgebraic functions. Zbl 1241.34036
Binyamini, G.; Novikov, D.; Yakovenko, S.
5
2011
On the number of zeros of Melnikov functions. Zbl 1243.34042
Benditkis, Sergey; Novikov, Dmitry
3
2011
On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem. Zbl 1207.34039
Binyamini, Gal; Novikov, Dmitry; Yakovenko, Sergei
47
2010
On the finite cyclicity of open period annuli. Zbl 1205.34030
Gavrilov, Lubomir; Novikov, Dmitry
6
2010
On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems. Zbl 1167.32005
Novikov, Dmitry
10
2009
Pseudo-abelian integrals: unfolding generic exponential case. Zbl 1197.34046
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry
10
2009
A direct proof of Gromov’s theorem. Zbl 1190.53036
Burago, Yu. D.; Malev, S. G.; Novikov, D. I.
1
2009
Mystery of point charges. Zbl 1128.31001
Gabrielov, A.; Novikov, D.; Shapiro, B.
23
2007
Unimodularity of Poincaré polynomials of Lie algebras for semisimple singularities. Zbl 1143.32017
Jibladze, Mamuka; Novikov, Dmitry
2
2007
Oscillation of Fourier integrals with a spectral gap. Zbl 1080.30025
Eremenko, A.; Novikov, D.
13
2004
Oscillation of functions with a spectral gap. Zbl 1064.46026
Eremenko, A.; Novikov, D.
7
2004
Quasialgebraicity of Picard-Vessiot fields. Zbl 1058.34120
Novikov, Dmitry; Yakovenko, Sergei
2
2003
Modules of the abelian integrals and the Picard-Fuchs systems. Zbl 1073.14513
Novikov, D.
3
2002
Redundant Picard-Fuchs system for abelian integrals. Zbl 1011.37042
Novikov, D.; Yakovenko, S.
12
2001
Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions. Zbl 0983.34019
Novikov, D.
4
2001
Trajectories of polynomial vector fields and ascending chains of polynomial ideals. Zbl 0947.37008
Novikov, Dmitri; Yakovenko, Sergei
20
1999
Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems. Zbl 0922.58076
Novikov, D.; Yakovenko, S.
16
1999
Meandering of trajectories of polynomial vector fields in the affine \(n\)-space. Zbl 0878.34026
Novikov, D.; Yakovenko, S.
6
1997
A complex analogue of the Rolle theorem amd polynomial envelopes of irreducible differential equations in the complex domain. Zbl 0892.34002
Novikov, D.; Yakovenko, S.
4
1997
Integral curvatures, oscillation and rotation of spatial curves around affine subspaces. Zbl 0953.53003
Novikov, D.; Yakovenko, S.
4
1996
Simple exponential estimate for the number of real zeros of complete abelian integrals. Zbl 0832.58028
Novikov, Dmitri; Yakovenko, Sergei
25
1995
Simple exponential estimate for the number of real zeros of complete Abelian integrals. Zbl 0826.34032
Novikov, Dmitri; Yakovenko, Sergej
1
1995
all top 5

Cited by 207 Authors

24 Novikov, Dmitry
17 Binyamini, Gal
13 Yakovenko, Sergei
9 Khimshiashvili, Giorgi
8 Yomdin, Yosef
7 Gavrilov, Lubomir
7 Mardešić, Pavao
6 Han, Maoan
6 Kostov, Vladimir Petrov
5 Cluckers, Raf
5 Giorgadze, Grigory
5 Liu, Changjian
5 Xiao, Dongmei
5 Yang, Jihua
4 Bobieński, Marcin
4 Huzak, Renato
4 Li, Chengzhi
4 Zhang, Zhifen
4 Zhao, Liqin
3 Boreale, Michele
3 Françoise, Jean-Pierre
3 Gasull, Armengol
3 Hong, Lijun
3 Hong, Xiaochun
3 Il’yashenko, Yuliĭ Sergeevich
3 Li, Weigu
3 Liu, Wencai
3 Pontigo-Herrera, Jessie
3 Schmidt, Harry
3 Shapiro, Boris Zalmanovich
3 Steinerberger, Stefan
3 Tsai, Ya-Lun
3 Ulanovskii, Alexander M.
3 Van Hille, Siegfried
3 Xiang, Guanghui
3 Zhang, Xiang
2 Bhardwaj, Neer
2 Braghtha, Aymen
2 Briskin, Miriam
2 Friedland, Omer
2 Gati, Yousra
2 Glutsyuk, Alexey A.
2 Grimm, Thomas W.
2 Jones, Gareth Owen
2 Koiran, Pascal
2 Llibre, Jaume
2 Lundberg, Erik
2 Mañosas, Francesc
2 Mitkovski, Mishko
2 Nguyen, Kien Huu
2 Ortiz-Bobadilla, Laura
2 Ostrovskiĭ, Iosif Vladimirovich
2 Poltoratski, Alexei G.
2 Rebollo-Perdomo, Salomón
2 Resman, Maja
2 Skrypnik, Wolodymyr I.
2 Tarchi, Mohamed Chaouki
2 Tucker, Warwick
2 van den Dries, Lou
2 Vermeulen, Floris
2 Villadelprat, Jordi
2 Wang, Jihua
2 Yang, Jiazhong
2 Zhao, Yulin
1 Abanov, Artem
1 Albouy, Alain
1 Álvarez, Amelia
1 Arustamyan, Nickolas
1 Asheghi, Rasoul
1 Barbieri, Santiago
1 Basu, Saugata
1 Batenkov, Dmitry
1 Benditkis, Sergey
1 Bérard, Pierre H.
1 Bilogliadov, Mykhailo
1 Blais, François
1 Blank, Natalia
1 Bortolussi, Luca
1 Bravo, José Luis
1 Bréhard, Florent
1 Brisebarre, Nicolas
1 Buică, Adriana
1 Buzzi, Claudio Aguinaldo
1 Cantoral-Farfán, Victoria
1 Carvalho, Yagor Romano
1 Castryck, Wouter
1 Chen, Aiyong
1 Chen, Guoting
1 Christopher, Colin J.
1 Collodi, Luisa
1 Comte, Georges
1 Crnković, Vlatko
1 Decio, Stefano
1 Demaret, Laurent
1 Dittmann, Philip
1 Douai, Antoine
1 Elashvili, Alexander Grigorievich
1 Enciso, Alberto
1 Alexandre Eremenko
1 Fedorov, Yuri N.
...and 107 more Authors
all top 5

Cited in 92 Serials

23 Journal of Differential Equations
11 Journal of Mathematical Analysis and Applications
8 Annales de l’Institut Fourier
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Journal of Dynamical and Control Systems
6 Qualitative Theory of Dynamical Systems
5 Journal of Mathematical Physics
4 Journal of Symbolic Computation
3 Israel Journal of Mathematics
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Expositiones Mathematicae
3 Annals of Mathematics. Second Series
3 Communications in Contemporary Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Journal of Applied Analysis and Computation
3 Model Theory
2 Communications in Mathematical Physics
2 Functional Analysis and its Applications
2 Mathematische Annalen
2 Physica D
2 Information and Computation
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Mathematical Sciences (New York)
2 Bulletin des Sciences Mathématiques
2 Doklady Mathematics
2 Journal of High Energy Physics
2 Dynamical Systems
2 Algebra & Number Theory
2 Bulletin of the Georgian National Academy of Sciences. New Series
2 Arnold Mathematical Journal
2 Constructive Mathematical Analysis
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Journal of Geometry and Physics
1 ACM Transactions on Mathematical Software
1 Acta Arithmetica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Compositio Mathematica
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Results in Mathematics
1 Annals of Pure and Applied Logic
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Science in China. Series A
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 IMRN. International Mathematics Research Notices
1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Dynamics and Differential Equations
1 Journal of Mathematical Imaging and Vision
1 Calculus of Variations and Partial Differential Equations
1 Applied and Computational Harmonic Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Georgian Mathematical Journal
1 Selecta Mathematica. New Series
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 Conformal Geometry and Dynamics
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Nonlinear Analysis. Real World Applications
1 Communications on Pure and Applied Analysis
1 Computational Methods and Function Theory
1 ACM Transactions on Computational Logic
1 International Journal of Number Theory
1 Complex Variables and Elliptic Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Analysis & PDE
1 Journal of Topology and Analysis
1 Advances in Mathematical Physics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Analysis and Mathematical Physics
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma
1 Transactions of the American Mathematical Society. Series B
1 Graduate Journal of Mathematics
all top 5

Cited in 44 Fields

100 Ordinary differential equations (34-XX)
57 Dynamical systems and ergodic theory (37-XX)
45 Algebraic geometry (14-XX)
24 Mathematical logic and foundations (03-XX)
23 Several complex variables and analytic spaces (32-XX)
20 Number theory (11-XX)
20 Functions of a complex variable (30-XX)
13 Real functions (26-XX)
10 Partial differential equations (35-XX)
10 Optics, electromagnetic theory (78-XX)
9 Computer science (68-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Potential theory (31-XX)
6 Field theory and polynomials (12-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Numerical analysis (65-XX)
5 Mechanics of particles and systems (70-XX)
4 Commutative algebra (13-XX)
4 Quantum theory (81-XX)
3 Measure and integration (28-XX)
3 Differential geometry (53-XX)
3 Probability theory and stochastic processes (60-XX)
2 Combinatorics (05-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year