Edit Profile (opens in new tab) Kostov, Vladimir Petrov Co-Author Distance Author ID: kostov.vladimir-petrov Published as: Kostov, Vladimir Petrov; Kostov, V. P.; Kostov, Vladimir P.; Kostov, Vladimir; Kostov, V.; Kostov, Vl. P. more...less Homepage: http://math.unice.fr/laboratoire/fiche&id=207 External Links: ResearchGate · Math-Net.Ru Documents Indexed: 136 Publications since 1984, including 1 Book and 13 Additional arXiv Preprints Reviewing Activity: 683 Reviews Co-Authors: 17 Co-Authors with 34 Joint Publications 540 Co-Co-Authors all top 5 Co-Authors 101 single-authored 12 Shapiro, Boris Zalmanovich 7 Gati, Yousra 5 Cheriha, Hassen 5 Degtiariova-Kostova, Elena V. 3 Balser, Werner 3 Dimitrov, Dimitar K. 3 Tarchi, Mohamed Chaouki 2 Forsgård, Jens 1 Alkhatib, Soliman A. 1 Boissonnat, Jean-Daniel 1 Cerezo, André 1 Gabber, Ofer 1 Gati, Youstra 1 Hayssam, Ezzaldine 1 Lando, Sergei K. 1 Leblond, Juliette 1 Martínez-Finkelshtein, Andrei 1 Tyaglov, Mikhail all top 5 Serials 11 Serdica Mathematical Journal 10 Doklady Bolgarskoĭ Akademii Nauk 9 Bulletin des Sciences Mathématiques 8 Journal of Dynamical and Control Systems 6 Functional Analysis and its Applications 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Revista Matemática Complutense 3 Publicationes Mathematicae Debrecen 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Acta Universitatis Matthiae Belii. Series Mathematics 2 Differentsial’nye Uravneniya 2 Funkcialaj Ekvacioj. Serio Internacia 2 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 2 Experimental Mathematics 2 Vietnam Journal of Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Constructive Mathematical Analysis 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Lithuanian Mathematical Journal 1 Moscow University Mathematics Bulletin 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Differential Equations 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of Approximation Theory 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Studia Scientiarum Mathematicarum Hungarica 1 Theoretical Computer Science 1 Mathematica Balkanica. New Series 1 Mathematica Bohemica 1 Acta Mathematica Universitatis Comenianae. New Series 1 Automation and Remote Control 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Matematychni Studiï 1 Panoramas et Synthèses 1 Functional Analysis and Other Mathematics 1 Graduate Journal of Mathematics all top 5 Fields 45 Real functions (26-XX) 42 Functions of a complex variable (30-XX) 37 Field theory and polynomials (12-XX) 24 Ordinary differential equations (34-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Group theory and generalizations (20-XX) 8 Number theory (11-XX) 7 Algebraic geometry (14-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 3 Systems theory; control (93-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 458 times in 171 Documents Cited by ▼ Year ▼ Hardy-Petrovitch-Hutchinson’s problem and partial theta function. Zbl 1302.30008 Kostov, Vladimir Petrov; Shapiro, Boris 29 2013 On the zeros of a partial theta function. Zbl 1278.26019 Kostov, Vladimir Petrov 21 2013 On the Deligne-Simpson problem. Zbl 0937.20024 Kostov, Vladimir Petrov 17 1999 On the geometric properties of Vandermonde’s mapping and on the problem of moments. Zbl 0687.58030 Kostov, V. P. 16 1989 The Deligne-Simpson problem – survey. Zbl 1066.15016 Kostov, Vladimir Petrov 15 2004 On a partial theta function and its spectrum. Zbl 1403.11036 Kostov, Vladimir Petrov 12 2016 On the spectrum of partial theta function. Zbl 1314.30009 Kostov, Vladimir Petrov 12 2014 Fuchsian linear systems on \(\mathbb{C} P^ 1\) and the Riemann-Hilbert problem. Zbl 0772.34007 Kostov, Vladimir Petrov 11 1992 Asymptotics of the spectrum of partial theta function. Zbl 1303.11053 Kostov, Vladimir Petrov 11 2014 Could René Descartes have known this? Zbl 1326.26027 Forsgård, Jens; Kostov, Vladimir P.; Shapiro, Boris Z. 11 2015 Asymptotic expansions of zeros of a partial theta function. Zbl 1340.26001 Kostov, Vladimir 10 2015 About a partial theta function. Zbl 1313.26002 Kostov, V. 10 2013 On some aspects of the Deligne-Simpson problem. Zbl 1031.15020 Kostov, V. P. 10 2003 A property of a partial theta function. Zbl 1324.33013 Kostov, Vladimir P. 10 2014 On realizability of sign patterns by real polynomials. Zbl 1499.26052 Kostov, Vladimir 10 2018 Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085 Balser, W.; Kostov, V. 9 2002 On the existence of monodromy groups of Fuchsian systems on Riemann’s sphere with unipotent generators. Zbl 0948.34066 Kostov, V. P. 8 1996 On the Schur-Szegő composition of polynomials. Zbl 1127.30004 Kostov, Vladimir; Shapiro, Boris 8 2006 Topics on hyperbolic polynomials in one variable. Zbl 1259.12001 Kostov, Vladimir Petrov 8 2011 The closest to \(0\) spectral number of the partial theta function. Zbl 1374.30010 Kostov, Vladimir 8 2016 The Deligne-Simpson problem for zero index of rigidity. Zbl 0999.20039 Kostov, Vladimir Petrov 7 2001 On the double zeros of a partial theta function. Zbl 1345.26004 Kostov, Vladimir Petrov 7 2016 The Schur-Szegö composition of real polynomials of degree 2. Zbl 1166.12001 Alkhatib, Soliman; Kostov, Vladimir Petrov 6 2008 Narayana numbers and Schur-Szegő composition. Zbl 1230.05030 Kostov, Vladimir P.; Martínez-Finkelshtein, Andrei; Shapiro, Boris Z. 6 2009 On arrangements of roots for a real hyperbolic polynomial and its derivatives. Zbl 0998.12001 Kostov, Vladimir Petrov; Shapiro, Boris Zalmanovich 6 2002 Versal deformations of differential forms of degree \(\alpha\) on a line. Zbl 0573.58002 Kostov, V. P. 6 1984 The Schur-Szegö composition for hyperbolic polynomials. Zbl 1164.12001 Kostov, Vladimir Petrov 6 2007 On the Deligne-Simpson problem. Zbl 1036.34106 Kostov, V. P. 6 2002 Descartes’ rule of signs and moduli of roots. Zbl 1463.26024 Kostov, Vladimir Petrov 6 2020 Polynomials, sign patterns and Descartes’ rule of signs. Zbl 1474.26052 Kostov, Vladimir Petrov 6 2019 Sharp Turán inequalities via very hyperbolic polynomials. Zbl 1210.30003 Dimitrov, Dimitar K.; Kostov, Vladimir P. 5 2011 Suboptimal paths in a planar motion with bounded derivative of the curvature. Zbl 0863.49024 Degtiariova-Kostova, Elena; Kostov, Vladimir 5 1995 The planar motion with bounded derivative of the curvature and its suboptimal paths. Zbl 0877.49028 Kostov, V. P.; Degtiariova-Kostova, E. V. 5 1995 Some examples of rigid representations. Zbl 0974.15008 Kostov, Vladimir Petrov 5 2000 Eigenvectors in the context of the Schur-Szegö composition of polynomials. Zbl 1166.12002 Kostov, Vladimir Petrov 5 2008 On hyperbolic polynomial-like functions and their derivatives. Zbl 1146.12001 Kostov, Vladimir Petrov 4 2007 Examples illustrating some aspects of the weak Deligne-Simpson problem. Zbl 0980.15011 Kostov, Vladimir Petrov 4 2001 Quantum states of monodromy groups. Zbl 0958.34076 Kostov, V. P. 4 1999 On root arrangements of polynomial-like functions and their derivatives. Zbl 1097.12001 Kostov, Vladimir Petrov 4 2005 Discriminant sets of families of hyperbolic polynomials of degree 4 and 5. Zbl 1026.12002 Kostov, V. P. 4 2002 A nonrealization theorem in the context of Descartes’ rule of signs. Zbl 1474.26051 Cheriha, Hassen; Gati, Youstra; Kostov, Vladimir Petrov 4 2019 Corrigendum to: “Could René Descartes have known this?”. (Corrigendum to: “Could René Descrates have known this?”.) Zbl 1435.26009 Forsgård, Jens; Kostov, Vladimir Petrov; Shapiro, Boris 4 2019 Very hyperbolic polynomials. Zbl 1124.12002 Kostov, V. P. 3 2005 On the hyperbolicity domain of the polynomial \(x^n+a_1x^{n-1}+\cdots +a_n\). Zbl 0948.58027 Kostov, Vladimir Petrov 3 1999 Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030 Balser, Werner; Kostov, Vladimir 3 2005 A generalization of the Burnside theorem and of Schur’s lemma for reducible representations. Zbl 0940.15011 Kostov, V. P. 3 1995 On polynomial-like functions. Zbl 1155.12300 Kostov, Vladimir Petrov 3 2005 Root arrangements of hyperbolic polynomial-like functions. Zbl 1155.12301 Kostov, Vladimir Petrov 3 2006 Some examples related to the Deligne-Simpson problem. Zbl 1063.20055 Kostov, Vladimir P. 3 2001 Versal deformations of powers of volume forms. Zbl 0792.32024 Kostov, V. P.; Lando, S. K. 3 1993 Normal forms of unfoldings of non-Fuchsian systems. Zbl 0808.34005 Kostov, Vladimir Petrov 3 1994 Regular linear systems on \({\mathbb{C}}P^ 1\) and their monodromy groups. Zbl 0814.34006 Kostov, V. P. 3 1994 Root configurations for hyperbolic polynomials of degree 3, 4, and 5. Zbl 1020.12004 Kostov, V. P. 3 2002 On multiple zeros of a partial theta function. Zbl 1350.33029 Kostov, V. P. 3 2016 A domain containing all zeros of the partial theta function. Zbl 1413.26003 Kostov, Vladimir Petrov 3 2018 A separation in modulus property of the zeros of a partial theta function. Zbl 1438.11096 Kostov, V. P. 3 2018 On root arrangements for hyperbolic polynomial-like functions and their derivatives. Zbl 1139.12003 Kostov, Vladimir Petrov 2 2007 Additive Deligne-Simpson problem for non-Fuchsian systems. Zbl 1246.15018 Kostov, Vladimir P. 2 2010 Shortest plane paths with bounded derivative of the curvature. Zbl 0946.49035 Boissonnat, Jean-Daniel; Cérézo, André; Degtiariova-Kostova, Elena V.; Kostov, Vladimir P.; Leblond, Juliette 2 1999 On the Deligne–Simpson problem and its weak version. Zbl 1048.15012 Kostov, Vladimir Petrov 2 2004 Very hyperbolic and stably hyperbolic polynomials. Zbl 1070.14059 Kostov, Vladimir Petrov 2 2004 On a stratification defined by real roots of polynomials. Zbl 1049.12002 Kostov, Vladimir Petrov 2 2003 The connectedness of some varieties and the Deligne \(-\) Simpson problem. Zbl 1072.15022 Kostov, Vladimir Petrov 2 2005 On the stratification and singularities of the Stokes hypersurface of one- and two-parameter families of polynomials. Zbl 0731.58005 Kostov, V. P. 2 1990 Versal deformations of differential forms of real degree on the real line. Zbl 0738.58001 Kostov, V. P. 2 1990 Maximal univalent disks of real rational functions and Hermite-Biehler polynomials. Zbl 1223.26033 Kostov, Vladimir P.; Shapiro, Boris; Tyaglov, Mikhail 2 2011 Some facts about discriminants. Zbl 1389.12001 Kostov, Vladimir Petrov 2 2017 Stabilization of the asymptotic expansions of the zeros of a partial theta function. Zbl 1374.26003 Kostov, Vladimir Petrov 2 2015 On the complex conjugate zeros of the partial theta function. Zbl 1434.30003 Kostov, Vladimir P. 2 2019 Descartes’ rule of signs, Rolle’s theorem and sequences of compatible pairs. Zbl 1474.26050 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 2 2020 On Descartes’ rule for polynomials with two variations of signs. Zbl 1469.26016 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 2 2020 The disconnectedness of certain sets defined after uni-variate polynomials. Zbl 1513.26020 Kostov, Vladimir Petrov 2 2022 Hyperbolic polynomials and rigid orders of moduli. Zbl 1524.26022 Kostov, Vladimir Petrov 2 2022 On the zero set of the partial theta function. Zbl 1499.33070 Kostov, Vladimir Petrov 2 2019 The Schur-Szegö composition for real polynomials. Zbl 1156.12001 Kostov, Vladimir Petrov 1 2008 A mapping defined by the Schur-Szegö composition. Zbl 1224.12003 Kostov, V. 1 2010 Even and old overdetermined strata for degree 6 hyperbolic polynomials. Zbl 1224.12002 Hayssam, Ezzaldine; Kostov, Vladimir Petrov 1 2008 A mapping connected with the Schur-Szegő composition. Zbl 1221.12002 Kostov, Vladimir Petrov 1 2009 Distances between critical points and midpoints of zeros of hyperbolic polynomials. Zbl 1191.30003 Dimitrov, Dimitar K.; Kostov, Vladimir P. 1 2010 Normal forms of unfoldings of non-Fuchsian systems. Zbl 0989.34072 Kostov, V. P. 1 1999 Gauss-Manin systems of polynomials of two variables can be made Fuchsian. Zbl 0979.34066 Kostov, Vladimir P. 1 2000 The minimal number of generators of a matrix algebra. Zbl 0952.16018 Kostov, V. P. 1 1996 A realization theorem about the Schur-Szegö composition for entire functions. Zbl 1199.30165 Kostov, Vladimir 1 2009 Very hyperbolic polynomials in one variable. Zbl 1093.26008 Kostov, Vladimir Petrov 1 2005 The Deligne-Simpson problem and the connectedness of some varieties. Zbl 1133.15014 Kostov, Vladimir Petrov 1 2007 Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142 Balser, Werner; Kostov, Vladimir 1 2003 On the weak Deligne-Simpson problem for index of rigidity 2, with an appendix by Ofer Gabber. Zbl 1033.15012 Kostov, Vladimir Petrov 1 2003 Degree 5 polynomials and Descartes’ rule of signs. Zbl 1462.26011 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 1 2020 A property of discriminants. Zbl 1419.12001 Kostov, Vladimir Petrov 1 2019 A realization theorem in the context of the Schur-Szegő composition. Zbl 1271.26006 Kostov, V. P. 1 2009 Sign patterns and rigid orders of moduli. Zbl 1500.26012 Gati, Yousra; Kostov, Vladimir Petrov; Tarchi, Mohamed Chaouki 1 2021 Partial theta function and separation in modulus property of its zeros. Zbl 1446.11070 Kostov, Vladimir Petrov 1 2020 Which sign patterns are canonical? Zbl 1504.26026 Kostov, Vladimir Petrov 1 2022 The disconnectedness of certain sets defined after uni-variate polynomials. Zbl 1513.26020 Kostov, Vladimir Petrov 2 2022 Hyperbolic polynomials and rigid orders of moduli. Zbl 1524.26022 Kostov, Vladimir Petrov 2 2022 Which sign patterns are canonical? Zbl 1504.26026 Kostov, Vladimir Petrov 1 2022 Sign patterns and rigid orders of moduli. Zbl 1500.26012 Gati, Yousra; Kostov, Vladimir Petrov; Tarchi, Mohamed Chaouki 1 2021 Descartes’ rule of signs and moduli of roots. Zbl 1463.26024 Kostov, Vladimir Petrov 6 2020 Descartes’ rule of signs, Rolle’s theorem and sequences of compatible pairs. Zbl 1474.26050 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 2 2020 On Descartes’ rule for polynomials with two variations of signs. Zbl 1469.26016 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 2 2020 Degree 5 polynomials and Descartes’ rule of signs. Zbl 1462.26011 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 1 2020 Partial theta function and separation in modulus property of its zeros. Zbl 1446.11070 Kostov, Vladimir Petrov 1 2020 Polynomials, sign patterns and Descartes’ rule of signs. Zbl 1474.26052 Kostov, Vladimir Petrov 6 2019 A nonrealization theorem in the context of Descartes’ rule of signs. Zbl 1474.26051 Cheriha, Hassen; Gati, Youstra; Kostov, Vladimir Petrov 4 2019 Corrigendum to: “Could René Descartes have known this?”. (Corrigendum to: “Could René Descrates have known this?”.) Zbl 1435.26009 Forsgård, Jens; Kostov, Vladimir Petrov; Shapiro, Boris 4 2019 On the complex conjugate zeros of the partial theta function. Zbl 1434.30003 Kostov, Vladimir P. 2 2019 On the zero set of the partial theta function. Zbl 1499.33070 Kostov, Vladimir Petrov 2 2019 A property of discriminants. Zbl 1419.12001 Kostov, Vladimir Petrov 1 2019 On realizability of sign patterns by real polynomials. Zbl 1499.26052 Kostov, Vladimir 10 2018 A domain containing all zeros of the partial theta function. Zbl 1413.26003 Kostov, Vladimir Petrov 3 2018 A separation in modulus property of the zeros of a partial theta function. Zbl 1438.11096 Kostov, V. P. 3 2018 Some facts about discriminants. Zbl 1389.12001 Kostov, Vladimir Petrov 2 2017 On a partial theta function and its spectrum. Zbl 1403.11036 Kostov, Vladimir Petrov 12 2016 The closest to \(0\) spectral number of the partial theta function. Zbl 1374.30010 Kostov, Vladimir 8 2016 On the double zeros of a partial theta function. Zbl 1345.26004 Kostov, Vladimir Petrov 7 2016 On multiple zeros of a partial theta function. Zbl 1350.33029 Kostov, V. P. 3 2016 Could René Descartes have known this? Zbl 1326.26027 Forsgård, Jens; Kostov, Vladimir P.; Shapiro, Boris Z. 11 2015 Asymptotic expansions of zeros of a partial theta function. Zbl 1340.26001 Kostov, Vladimir 10 2015 Stabilization of the asymptotic expansions of the zeros of a partial theta function. Zbl 1374.26003 Kostov, Vladimir Petrov 2 2015 On the spectrum of partial theta function. Zbl 1314.30009 Kostov, Vladimir Petrov 12 2014 Asymptotics of the spectrum of partial theta function. Zbl 1303.11053 Kostov, Vladimir Petrov 11 2014 A property of a partial theta function. Zbl 1324.33013 Kostov, Vladimir P. 10 2014 Hardy-Petrovitch-Hutchinson’s problem and partial theta function. Zbl 1302.30008 Kostov, Vladimir Petrov; Shapiro, Boris 29 2013 On the zeros of a partial theta function. Zbl 1278.26019 Kostov, Vladimir Petrov 21 2013 About a partial theta function. Zbl 1313.26002 Kostov, V. 10 2013 Topics on hyperbolic polynomials in one variable. Zbl 1259.12001 Kostov, Vladimir Petrov 8 2011 Sharp Turán inequalities via very hyperbolic polynomials. Zbl 1210.30003 Dimitrov, Dimitar K.; Kostov, Vladimir P. 5 2011 Maximal univalent disks of real rational functions and Hermite-Biehler polynomials. Zbl 1223.26033 Kostov, Vladimir P.; Shapiro, Boris; Tyaglov, Mikhail 2 2011 Additive Deligne-Simpson problem for non-Fuchsian systems. Zbl 1246.15018 Kostov, Vladimir P. 2 2010 A mapping defined by the Schur-Szegö composition. Zbl 1224.12003 Kostov, V. 1 2010 Distances between critical points and midpoints of zeros of hyperbolic polynomials. Zbl 1191.30003 Dimitrov, Dimitar K.; Kostov, Vladimir P. 1 2010 Narayana numbers and Schur-Szegő composition. Zbl 1230.05030 Kostov, Vladimir P.; Martínez-Finkelshtein, Andrei; Shapiro, Boris Z. 6 2009 A mapping connected with the Schur-Szegő composition. Zbl 1221.12002 Kostov, Vladimir Petrov 1 2009 A realization theorem about the Schur-Szegö composition for entire functions. Zbl 1199.30165 Kostov, Vladimir 1 2009 A realization theorem in the context of the Schur-Szegő composition. Zbl 1271.26006 Kostov, V. P. 1 2009 The Schur-Szegö composition of real polynomials of degree 2. Zbl 1166.12001 Alkhatib, Soliman; Kostov, Vladimir Petrov 6 2008 Eigenvectors in the context of the Schur-Szegö composition of polynomials. Zbl 1166.12002 Kostov, Vladimir Petrov 5 2008 The Schur-Szegö composition for real polynomials. Zbl 1156.12001 Kostov, Vladimir Petrov 1 2008 Even and old overdetermined strata for degree 6 hyperbolic polynomials. Zbl 1224.12002 Hayssam, Ezzaldine; Kostov, Vladimir Petrov 1 2008 The Schur-Szegö composition for hyperbolic polynomials. Zbl 1164.12001 Kostov, Vladimir Petrov 6 2007 On hyperbolic polynomial-like functions and their derivatives. Zbl 1146.12001 Kostov, Vladimir Petrov 4 2007 On root arrangements for hyperbolic polynomial-like functions and their derivatives. Zbl 1139.12003 Kostov, Vladimir Petrov 2 2007 The Deligne-Simpson problem and the connectedness of some varieties. Zbl 1133.15014 Kostov, Vladimir Petrov 1 2007 On the Schur-Szegő composition of polynomials. Zbl 1127.30004 Kostov, Vladimir; Shapiro, Boris 8 2006 Root arrangements of hyperbolic polynomial-like functions. Zbl 1155.12301 Kostov, Vladimir Petrov 3 2006 On root arrangements of polynomial-like functions and their derivatives. Zbl 1097.12001 Kostov, Vladimir Petrov 4 2005 Very hyperbolic polynomials. Zbl 1124.12002 Kostov, V. P. 3 2005 Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030 Balser, Werner; Kostov, Vladimir 3 2005 On polynomial-like functions. Zbl 1155.12300 Kostov, Vladimir Petrov 3 2005 The connectedness of some varieties and the Deligne \(-\) Simpson problem. Zbl 1072.15022 Kostov, Vladimir Petrov 2 2005 Very hyperbolic polynomials in one variable. Zbl 1093.26008 Kostov, Vladimir Petrov 1 2005 The Deligne-Simpson problem – survey. Zbl 1066.15016 Kostov, Vladimir Petrov 15 2004 On the Deligne–Simpson problem and its weak version. Zbl 1048.15012 Kostov, Vladimir Petrov 2 2004 Very hyperbolic and stably hyperbolic polynomials. Zbl 1070.14059 Kostov, Vladimir Petrov 2 2004 On some aspects of the Deligne-Simpson problem. Zbl 1031.15020 Kostov, V. P. 10 2003 On a stratification defined by real roots of polynomials. Zbl 1049.12002 Kostov, Vladimir Petrov 2 2003 Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142 Balser, Werner; Kostov, Vladimir 1 2003 On the weak Deligne-Simpson problem for index of rigidity 2, with an appendix by Ofer Gabber. Zbl 1033.15012 Kostov, Vladimir Petrov 1 2003 Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085 Balser, W.; Kostov, V. 9 2002 On arrangements of roots for a real hyperbolic polynomial and its derivatives. Zbl 0998.12001 Kostov, Vladimir Petrov; Shapiro, Boris Zalmanovich 6 2002 On the Deligne-Simpson problem. Zbl 1036.34106 Kostov, V. P. 6 2002 Discriminant sets of families of hyperbolic polynomials of degree 4 and 5. Zbl 1026.12002 Kostov, V. P. 4 2002 Root configurations for hyperbolic polynomials of degree 3, 4, and 5. Zbl 1020.12004 Kostov, V. P. 3 2002 The Deligne-Simpson problem for zero index of rigidity. Zbl 0999.20039 Kostov, Vladimir Petrov 7 2001 Examples illustrating some aspects of the weak Deligne-Simpson problem. Zbl 0980.15011 Kostov, Vladimir Petrov 4 2001 Some examples related to the Deligne-Simpson problem. Zbl 1063.20055 Kostov, Vladimir P. 3 2001 Some examples of rigid representations. Zbl 0974.15008 Kostov, Vladimir Petrov 5 2000 Gauss-Manin systems of polynomials of two variables can be made Fuchsian. Zbl 0979.34066 Kostov, Vladimir P. 1 2000 On the Deligne-Simpson problem. Zbl 0937.20024 Kostov, Vladimir Petrov 17 1999 Quantum states of monodromy groups. Zbl 0958.34076 Kostov, V. P. 4 1999 On the hyperbolicity domain of the polynomial \(x^n+a_1x^{n-1}+\cdots +a_n\). Zbl 0948.58027 Kostov, Vladimir Petrov 3 1999 Shortest plane paths with bounded derivative of the curvature. Zbl 0946.49035 Boissonnat, Jean-Daniel; Cérézo, André; Degtiariova-Kostova, Elena V.; Kostov, Vladimir P.; Leblond, Juliette 2 1999 Normal forms of unfoldings of non-Fuchsian systems. Zbl 0989.34072 Kostov, V. P. 1 1999 On the existence of monodromy groups of Fuchsian systems on Riemann’s sphere with unipotent generators. Zbl 0948.34066 Kostov, V. P. 8 1996 The minimal number of generators of a matrix algebra. Zbl 0952.16018 Kostov, V. P. 1 1996 Suboptimal paths in a planar motion with bounded derivative of the curvature. Zbl 0863.49024 Degtiariova-Kostova, Elena; Kostov, Vladimir 5 1995 The planar motion with bounded derivative of the curvature and its suboptimal paths. Zbl 0877.49028 Kostov, V. P.; Degtiariova-Kostova, E. V. 5 1995 A generalization of the Burnside theorem and of Schur’s lemma for reducible representations. Zbl 0940.15011 Kostov, V. P. 3 1995 Normal forms of unfoldings of non-Fuchsian systems. Zbl 0808.34005 Kostov, Vladimir Petrov 3 1994 Regular linear systems on \({\mathbb{C}}P^ 1\) and their monodromy groups. Zbl 0814.34006 Kostov, V. P. 3 1994 Versal deformations of powers of volume forms. Zbl 0792.32024 Kostov, V. P.; Lando, S. K. 3 1993 Fuchsian linear systems on \(\mathbb{C} P^ 1\) and the Riemann-Hilbert problem. Zbl 0772.34007 Kostov, Vladimir Petrov 11 1992 On the stratification and singularities of the Stokes hypersurface of one- and two-parameter families of polynomials. Zbl 0731.58005 Kostov, V. P. 2 1990 Versal deformations of differential forms of real degree on the real line. Zbl 0738.58001 Kostov, V. P. 2 1990 On the geometric properties of Vandermonde’s mapping and on the problem of moments. Zbl 0687.58030 Kostov, V. P. 16 1989 Versal deformations of differential forms of degree \(\alpha\) on a line. Zbl 0573.58002 Kostov, V. P. 6 1984 all cited Publications top 5 cited Publications all top 5 Cited by 175 Authors 46 Kostov, Vladimir Petrov 8 Shapiro, Boris Zalmanovich 8 Vishnyakova, Anna M. 7 Nguyen, Thu-Hien Thi 5 Rousseau, Christiane 3 Balser, Werner 3 Basu, Saugata 3 Bolibrukh, Andreĭ Andreevich 3 Cheriha, Hassen 3 Crawley-Boevey, William 3 Dimitrov, Dimitar K. 3 Frego, Marco 3 Gati, Yousra 3 Haraoka, Yoshishige 3 Letellier, Emmanuel 3 Riener, Cordian 3 Suzuki, Takao 3 Županović, Vesna 2 Baricz, Árpád 2 Bertolazzi, Enrico 2 Blanchet-Sadri, Francine 2 Chen, Kun 2 Gleizer, Oleg 2 Hausel, Tamás 2 Hawes, Kenneth 2 Hibino, Masaki 2 Hurtubise, Jacques C. 2 Klimeš, Martin 2 Korkut, Luka 2 Meek, Dereck S. 2 Pogány, Tibor K. 2 Rodriguez-Villegas, Fernando 2 Soibelman, Alexander 2 Soibelman, Yan S. 2 Vlah, Domagoj 2 Walton, Desmond J. 2 Yamakawa, Daisuke 2 Žubrinić, Darko 1 Alarcón, Antonio 1 Albeverio, Sergio A. 1 Annabi, Hammouda 1 Bahraminasab, Mohammad Reza 1 Ballandras, Mathieu 1 Batts, Laura J. 1 Bibak, Khodakhast 1 Biswas, Indranil 1 Boalch, Philip P. 1 Bohdanov, Anton 1 Borcea, Julius 1 Chen, William Yong-Chuan 1 Christopher, Colin J. 1 Cohen, Daniel C. 1 Combot, Thierry 1 Conti, William R. P. 1 Costin, Ovidiu 1 Cotti, Giordano 1 Crâşmăreanu, Mircea 1 Dedieu, Jean-Pierre 1 Dimca, Alexandru 1 Domitrz, Wojciech 1 Douai, Antoine 1 Driver, Kathy A. 1 Dupljanin, Đorđije 1 Dyachenko, Alexander Victorovich 1 Falbel, Elisha 1 Fan, Zhou 1 Fedorov, Roman M. 1 Flores, Ramón J. 1 Forsgård, Jens 1 Forstnerič, Franc 1 Franc, Cameron 1 Françoise, Jean-Pierre 1 Friedland, Shmuel 1 Frolova, Anastasia 1 Fuji, Kenta 1 Gati, Youstra 1 Gerhardt, Spencer 1 Ghominejad, Mehrdad 1 Giorgadze, Grigory 1 Goldman, Gil 1 Golitsyna, Mayya 1 González-Meneses, Juan 1 Gordeev, Nikolai L. 1 Guzzetti, Davide 1 Hayssam, Ezzaldine 1 Heu, Viktoria 1 Hiroe, Kazuki 1 Holtz, Olga 1 Houssam, Khalil 1 Hu, Su 1 Inoue, Keisuke 1 Ismail, Mourad El-Houssieny 1 Its, Alexander Rudolfovich 1 Jankov, Dragana 1 Kapaev, Andrei A. 1 Kapron, Bruce M. 1 Kawakami, Hiroshi 1 Kim, Byungchan 1 Kim, Minsoo 1 Kontsevich, Maxim ...and 75 more Authors all top 5 Cited in 90 Serials 10 Bulletin des Sciences Mathématiques 6 Journal of Mathematical Analysis and Applications 6 Advances in Mathematics 6 Journal of Dynamical and Control Systems 5 Annales de l’Institut Fourier 5 Journal of Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Duke Mathematical Journal 3 Functional Analysis and its Applications 3 Journal of Algebra 3 Journal of Computational and Applied Mathematics 3 Mathematische Annalen 3 Results in Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Vietnam Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Experimental Mathematics 2 Acta Universitatis Matthiae Belii. Series Mathematics 2 Selecta Mathematica. New Series 2 Matematychni Studiï 2 Revista Matemática Complutense 2 Qualitative Theory of Dynamical Systems 2 Computational Methods and Function Theory 2 Oberwolfach Reports 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Arnold Mathematical Journal 2 European Journal of Mathematics 2 Constructive Mathematical Analysis 1 Analysis Mathematica 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Nuclear Physics. B 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Automatica 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Annals of Global Analysis and Geometry 1 Constructive Approximation 1 Statistical Science 1 Forum Mathematicum 1 Mathematica Bohemica 1 International Journal of Foundations of Computer Science 1 Journal of Global Optimization 1 Expositiones Mathematicae 1 Journal of Algebraic Combinatorics 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Georgian Mathematical Journal 1 Fractals 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 The Ramanujan Journal 1 Mathematical Inequalities & Applications 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series 1 Journal of Nonlinear Mathematical Physics 1 Foundations of Computational Mathematics 1 Journal of the Australian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Functional Analysis and Other Mathematics 1 Involve 1 Journal of Singularities 1 Random Matrices: Theory and Applications 1 Journal de l’École Polytechnique – Mathématiques 1 Graduate Journal of Mathematics all top 5 Cited in 41 Fields 41 Real functions (26-XX) 38 Functions of a complex variable (30-XX) 37 Ordinary differential equations (34-XX) 23 Algebraic geometry (14-XX) 21 Field theory and polynomials (12-XX) 20 Special functions (33-XX) 16 Several complex variables and analytic spaces (32-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Number theory (11-XX) 14 Group theory and generalizations (20-XX) 11 Combinatorics (05-XX) 10 Differential geometry (53-XX) 10 Global analysis, analysis on manifolds (58-XX) 7 Associative rings and algebras (16-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 5 Partial differential equations (35-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Numerical analysis (65-XX) 3 Commutative algebra (13-XX) 3 Nonassociative rings and algebras (17-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year