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: 122 Publications since 1984, including 1 Book Reviewing Activity: 667 Reviews Co-Authors: 17 Co-Authors with 29 Joint Publications 508 Co-Co-Authors all top 5 Co-Authors 92 single-authored 10 Shapiro, Boris Zalmanovich 5 Degtiariova-Kostova, Elena V. 4 Cheriha, Hassen 4 Gati, Yousra 3 Balser, Werner 3 Dimitrov, Dimitar K. 2 Forsgård, Jens 1 Alkhatib, Soliman 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 Tarchi, Mohamed Chaouki 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 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 Constructive Mathematical Analysis 1 Graduate Journal of Mathematics all top 5 Fields 41 Real functions (26-XX) 39 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 90 Publications have been cited 422 times in 164 Documents Cited by ▼ Year ▼ Hardy-Petrovitch-Hutchinson’s problem and partial theta function. Zbl 1302.30008Kostov, Vladimir Petrov; Shapiro, Boris 26 2013 On the zeros of a partial theta function. Zbl 1278.26019Kostov, Vladimir Petrov 19 2013 On the Deligne-Simpson problem. Zbl 0937.20024Kostov, Vladimir Petrov 17 1999 The Deligne-Simpson problem – survey. Zbl 1066.15016Kostov, Vladimir Petrov 15 2004 On the geometric properties of Vandermonde’s mapping and on the problem of moments. Zbl 0687.58030Kostov, V. P. 14 1989 On the spectrum of partial theta function. Zbl 1314.30009Kostov, Vladimir Petrov 12 2014 Fuchsian linear systems on \(\mathbb{C} P^ 1\) and the Riemann-Hilbert problem. Zbl 0772.34007Kostov, Vladimir Petrov 11 1992 Asymptotics of the spectrum of partial theta function. Zbl 1303.11053Kostov, Vladimir Petrov 11 2014 On a partial theta function and its spectrum. Zbl 1403.11036Kostov, Vladimir Petrov 10 2016 On some aspects of the Deligne-Simpson problem. Zbl 1031.15020Kostov, V. P. 10 2003 Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085Balser, W.; Kostov, V. 9 2002 A property of a partial theta function. Zbl 1324.33013Kostov, Vladimir P. 9 2014 Could René Descartes have known this? Zbl 1326.26027Forsgård, Jens; Kostov, Vladimir P.; Shapiro, Boris Z. 9 2015 About a partial theta function. Zbl 1313.26002Kostov, V. 9 2013 Asymptotic expansions of zeros of a partial theta function. Zbl 1340.26001Kostov, Vladimir 9 2015 On realizability of sign patterns by real polynomials. Zbl 1499.26052Kostov, Vladimir 9 2018 On the Schur-Szegő composition of polynomials. Zbl 1127.30004Kostov, Vladimir; Shapiro, Boris 8 2006 On the existence of monodromy groups of Fuchsian systems on Riemann’s sphere with unipotent generators. Zbl 0948.34066Kostov, V. P. 8 1996 The closest to \(0\) spectral number of the partial theta function. Zbl 1374.30010Kostov, Vladimir 8 2016 On the double zeros of a partial theta function. Zbl 1345.26004Kostov, Vladimir Petrov 7 2016 Topics on hyperbolic polynomials in one variable. Zbl 1259.12001Kostov, Vladimir Petrov 7 2011 The Deligne-Simpson problem for zero index of rigidity. Zbl 0999.20039Kostov, Vladimir Petrov 7 2001 The Schur-Szegö composition for hyperbolic polynomials. Zbl 1164.12001Kostov, Vladimir Petrov 6 2007 Narayana numbers and Schur-Szegő composition. Zbl 1230.05030Kostov, Vladimir P.; Martínez-Finkelshtein, Andrei; Shapiro, Boris Z. 6 2009 The Schur-Szegö composition of real polynomials of degree 2. Zbl 1166.12001Alkhatib, Soliman; Kostov, Vladimir Petrov 6 2008 On the Deligne-Simpson problem. Zbl 1036.34106Kostov, V. P. 6 2002 Versal deformations of differential forms of degree \(\alpha\) on a line. Zbl 0573.58002Kostov, V. P. 6 1984 Eigenvectors in the context of the Schur-Szegö composition of polynomials. Zbl 1166.12002Kostov, Vladimir Petrov 5 2008 Suboptimal paths in a planar motion with bounded derivative of the curvature. Zbl 0863.49024Degtiariova-Kostova, Elena; Kostov, Vladimir 5 1995 The planar motion with bounded derivative of the curvature and its suboptimal paths. Zbl 0877.49028Kostov, V. P.; Degtiariova-Kostova, E. V. 5 1995 Sharp Turán inequalities via very hyperbolic polynomials. Zbl 1210.30003Dimitrov, Dimitar K.; Kostov, Vladimir P. 5 2011 Polynomials, sign patterns and Descartes’ rule of signs. Zbl 1474.26052Kostov, Vladimir Petrov 5 2019 Some examples of rigid representations. Zbl 0974.15008Kostov, Vladimir Petrov 5 2000 On root arrangements of polynomial-like functions and their derivatives. Zbl 1097.12001Kostov, Vladimir Petrov 4 2005 Quantum states of monodromy groups. Zbl 0958.34076Kostov, V. P. 4 1999 Descartes’ rule of signs and moduli of roots. Zbl 1463.26024Kostov, Vladimir Petrov 4 2020 On arrangements of roots for a real hyperbolic polynomial and its derivatives. Zbl 0998.12001Kostov, Vladimir Petrov; Shapiro, Boris Zalmanovich 4 2002 Examples illustrating some aspects of the weak Deligne-Simpson problem. Zbl 0980.15011Kostov, Vladimir Petrov 4 2001 A generalization of the Burnside theorem and of Schur’s lemma for reducible representations. Zbl 0940.15011Kostov, V. P. 3 1995 On hyperbolic polynomial-like functions and their derivatives. Zbl 1146.12001Kostov, Vladimir Petrov 3 2007 Versal deformations of powers of volume forms. Zbl 0792.32024Kostov, V. P.; Lando, S. K. 3 1993 Normal forms of unfoldings of non-Fuchsian systems. Zbl 0808.34005Kostov, Vladimir Petrov 3 1994 Regular linear systems on \({\mathbb{C}}P^ 1\) and their monodromy groups. Zbl 0814.34006Kostov, V. P. 3 1994 Some examples related to the Deligne-Simpson problem. Zbl 1063.20055Kostov, Vladimir P. 3 2001 Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030Balser, Werner; Kostov, Vladimir 3 2005 Very hyperbolic polynomials. Zbl 1124.12002Kostov, V. P. 3 2005 On the hyperbolicity domain of the polynomial \(x^n+a_1x^{n-1}+\cdots +a_n\). Zbl 0948.58027Kostov, Vladimir Petrov 3 1999 On polynomial-like functions. Zbl 1155.12300Kostov, Vladimir Petrov 3 2005 A nonrealization theorem in the context of Descartes’ rule of signs. Zbl 1474.26051Cheriha, Hassen; Gati, Youstra; Kostov, Vladimir Petrov 3 2019 Root arrangements of hyperbolic polynomial-like functions. Zbl 1155.12301Kostov, Vladimir Petrov 3 2006 Root configurations for hyperbolic polynomials of degree 3, 4, and 5. Zbl 1020.12004Kostov, V. P. 3 2002 Discriminant sets of families of hyperbolic polynomials of degree 4 and 5. Zbl 1026.12002Kostov, V. P. 3 2002 Corrigendum to: “Could René Descartes have known this?”. (Corrigendum to: “Could René Descrates have known this?”.) Zbl 1435.26009Forsgård, Jens; Kostov, Vladimir Petrov; Shapiro, Boris 3 2019 A separation in modulus property of the zeros of a partial theta function. Zbl 1438.11096Kostov, V. P. 3 2018 Versal deformations of differential forms of real degree on the real line. Zbl 0738.58001Kostov, V. P. 2 1990 On the stratification and singularities of the Stokes hypersurface of one- and two-parameter families of polynomials. Zbl 0731.58005Kostov, V. P. 2 1990 Maximal univalent disks of real rational functions and Hermite-Biehler polynomials. Zbl 1223.26033Kostov, Vladimir P.; Shapiro, Boris; Tyaglov, Mikhail 2 2011 Additive Deligne-Simpson problem for non-Fuchsian systems. Zbl 1246.15018Kostov, Vladimir P. 2 2010 The connectedness of some varieties and the Deligne \(-\) Simpson problem. Zbl 1072.15022Kostov, Vladimir Petrov 2 2005 On root arrangements for hyperbolic polynomial-like functions and their derivatives. Zbl 1139.12003Kostov, Vladimir Petrov 2 2007 Shortest plane paths with bounded derivative of the curvature. Zbl 0946.49035Boissonnat, Jean-Daniel; Cérézo, André; Degtiariova-Kostova, Elena V.; Kostov, Vladimir P.; Leblond, Juliette 2 1999 A domain containing all zeros of the partial theta function. Zbl 1413.26003Kostov, Vladimir Petrov 2 2018 Some facts about discriminants. Zbl 1389.12001Kostov, Vladimir Petrov 2 2017 Stabilization of the asymptotic expansions of the zeros of a partial theta function. Zbl 1374.26003Kostov, Vladimir Petrov 2 2015 On the Deligne–Simpson problem and its weak version. Zbl 1048.15012Kostov, Vladimir Petrov 2 2004 Very hyperbolic and stably hyperbolic polynomials. Zbl 1070.14059Kostov, Vladimir Petrov 2 2004 On a stratification defined by real roots of polynomials. Zbl 1049.12002Kostov, Vladimir Petrov 2 2003 On multiple zeros of a partial theta function. Zbl 1350.33029Kostov, V. P. 2 2016 The minimal number of generators of a matrix algebra. Zbl 0952.16018Kostov, V. P. 1 1996 A mapping connected with the Schur-Szegő composition. Zbl 1221.12002Kostov, Vladimir Petrov 1 2009 Distances between critical points and midpoints of zeros of hyperbolic polynomials. Zbl 1191.30003Dimitrov, Dimitar K.; Kostov, Vladimir P. 1 2010 The Deligne-Simpson problem and the connectedness of some varieties. Zbl 1133.15014Kostov, Vladimir Petrov 1 2007 The Schur-Szegö composition for real polynomials. Zbl 1156.12001Kostov, Vladimir Petrov 1 2008 Partial theta function and separation in modulus property of its zeros. Zbl 1446.11070Kostov, Vladimir Petrov 1 2020 On the zero set of the partial theta function. Zbl 1499.33070Kostov, Vladimir Petrov 1 2019 Descartes’ rule of signs, Rolle’s theorem and sequences of compatible pairs. Zbl 1474.26050Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 1 2020 Degree 5 polynomials and Descartes’ rule of signs. Zbl 1462.26011Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 1 2020 Very hyperbolic polynomials in one variable. Zbl 1093.26008Kostov, Vladimir Petrov 1 2005 Hyperbolic polynomials and rigid orders of moduli. Zbl 07479514Kostov, Vladimir Petrov 1 2022 A realization theorem about the Schur-Szegö composition for entire functions. Zbl 1199.30165Kostov, Vladimir 1 2009 On Descartes’ rule for polynomials with two variations of signs. Zbl 1469.26016Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 1 2020 A property of discriminants. Zbl 1419.12001Kostov, Vladimir Petrov 1 2019 The disconnectedness of certain sets defined after uni-variate polynomials. Zbl 1513.26020Kostov, Vladimir Petrov 1 2022 Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142Balser, Werner; Kostov, Vladimir 1 2003 On the weak Deligne-Simpson problem for index of rigidity 2, with an appendix by Ofer Gabber. Zbl 1033.15012Kostov, Vladimir Petrov 1 2003 Normal forms of unfoldings of non-Fuchsian systems. Zbl 0989.34072Kostov, V. P. 1 1999 Gauss-Manin systems of polynomials of two variables can be made Fuchsian. Zbl 0979.34066Kostov, Vladimir P. 1 2000 A mapping defined by the Schur-Szegö composition. Zbl 1224.12003Kostov, V. 1 2010 Even and old overdetermined strata for degree 6 hyperbolic polynomials. Zbl 1224.12002Hayssam, Ezzaldine; Kostov, Vladimir Petrov 1 2008 A realization theorem in the context of the Schur-Szegő composition. Zbl 1271.26006Kostov, V. P. 1 2009 Hyperbolic polynomials and rigid orders of moduli. Zbl 07479514Kostov, Vladimir Petrov 1 2022 The disconnectedness of certain sets defined after uni-variate polynomials. Zbl 1513.26020Kostov, Vladimir Petrov 1 2022 Descartes’ rule of signs and moduli of roots. Zbl 1463.26024Kostov, Vladimir Petrov 4 2020 Partial theta function and separation in modulus property of its zeros. Zbl 1446.11070Kostov, Vladimir Petrov 1 2020 Descartes’ rule of signs, Rolle’s theorem and sequences of compatible pairs. Zbl 1474.26050Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 1 2020 Degree 5 polynomials and Descartes’ rule of signs. Zbl 1462.26011Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 1 2020 On Descartes’ rule for polynomials with two variations of signs. Zbl 1469.26016Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov 1 2020 Polynomials, sign patterns and Descartes’ rule of signs. Zbl 1474.26052Kostov, Vladimir Petrov 5 2019 A nonrealization theorem in the context of Descartes’ rule of signs. Zbl 1474.26051Cheriha, Hassen; Gati, Youstra; Kostov, Vladimir Petrov 3 2019 Corrigendum to: “Could René Descartes have known this?”. (Corrigendum to: “Could René Descrates have known this?”.) Zbl 1435.26009Forsgård, Jens; Kostov, Vladimir Petrov; Shapiro, Boris 3 2019 On the zero set of the partial theta function. Zbl 1499.33070Kostov, Vladimir Petrov 1 2019 A property of discriminants. Zbl 1419.12001Kostov, Vladimir Petrov 1 2019 On realizability of sign patterns by real polynomials. Zbl 1499.26052Kostov, Vladimir 9 2018 A separation in modulus property of the zeros of a partial theta function. Zbl 1438.11096Kostov, V. P. 3 2018 A domain containing all zeros of the partial theta function. Zbl 1413.26003Kostov, Vladimir Petrov 2 2018 Some facts about discriminants. Zbl 1389.12001Kostov, Vladimir Petrov 2 2017 On a partial theta function and its spectrum. Zbl 1403.11036Kostov, Vladimir Petrov 10 2016 The closest to \(0\) spectral number of the partial theta function. Zbl 1374.30010Kostov, Vladimir 8 2016 On the double zeros of a partial theta function. Zbl 1345.26004Kostov, Vladimir Petrov 7 2016 On multiple zeros of a partial theta function. Zbl 1350.33029Kostov, V. P. 2 2016 Could René Descartes have known this? Zbl 1326.26027Forsgård, Jens; Kostov, Vladimir P.; Shapiro, Boris Z. 9 2015 Asymptotic expansions of zeros of a partial theta function. Zbl 1340.26001Kostov, Vladimir 9 2015 Stabilization of the asymptotic expansions of the zeros of a partial theta function. Zbl 1374.26003Kostov, Vladimir Petrov 2 2015 On the spectrum of partial theta function. Zbl 1314.30009Kostov, Vladimir Petrov 12 2014 Asymptotics of the spectrum of partial theta function. Zbl 1303.11053Kostov, Vladimir Petrov 11 2014 A property of a partial theta function. Zbl 1324.33013Kostov, Vladimir P. 9 2014 Hardy-Petrovitch-Hutchinson’s problem and partial theta function. Zbl 1302.30008Kostov, Vladimir Petrov; Shapiro, Boris 26 2013 On the zeros of a partial theta function. Zbl 1278.26019Kostov, Vladimir Petrov 19 2013 About a partial theta function. Zbl 1313.26002Kostov, V. 9 2013 Topics on hyperbolic polynomials in one variable. Zbl 1259.12001Kostov, Vladimir Petrov 7 2011 Sharp Turán inequalities via very hyperbolic polynomials. Zbl 1210.30003Dimitrov, Dimitar K.; Kostov, Vladimir P. 5 2011 Maximal univalent disks of real rational functions and Hermite-Biehler polynomials. Zbl 1223.26033Kostov, Vladimir P.; Shapiro, Boris; Tyaglov, Mikhail 2 2011 Additive Deligne-Simpson problem for non-Fuchsian systems. Zbl 1246.15018Kostov, Vladimir P. 2 2010 Distances between critical points and midpoints of zeros of hyperbolic polynomials. Zbl 1191.30003Dimitrov, Dimitar K.; Kostov, Vladimir P. 1 2010 A mapping defined by the Schur-Szegö composition. Zbl 1224.12003Kostov, V. 1 2010 Narayana numbers and Schur-Szegő composition. Zbl 1230.05030Kostov, Vladimir P.; Martínez-Finkelshtein, Andrei; Shapiro, Boris Z. 6 2009 A mapping connected with the Schur-Szegő composition. Zbl 1221.12002Kostov, Vladimir Petrov 1 2009 A realization theorem about the Schur-Szegö composition for entire functions. Zbl 1199.30165Kostov, Vladimir 1 2009 A realization theorem in the context of the Schur-Szegő composition. Zbl 1271.26006Kostov, V. P. 1 2009 The Schur-Szegö composition of real polynomials of degree 2. Zbl 1166.12001Alkhatib, Soliman; Kostov, Vladimir Petrov 6 2008 Eigenvectors in the context of the Schur-Szegö composition of polynomials. Zbl 1166.12002Kostov, Vladimir Petrov 5 2008 The Schur-Szegö composition for real polynomials. Zbl 1156.12001Kostov, Vladimir Petrov 1 2008 Even and old overdetermined strata for degree 6 hyperbolic polynomials. Zbl 1224.12002Hayssam, Ezzaldine; Kostov, Vladimir Petrov 1 2008 The Schur-Szegö composition for hyperbolic polynomials. Zbl 1164.12001Kostov, Vladimir Petrov 6 2007 On hyperbolic polynomial-like functions and their derivatives. Zbl 1146.12001Kostov, Vladimir Petrov 3 2007 On root arrangements for hyperbolic polynomial-like functions and their derivatives. Zbl 1139.12003Kostov, Vladimir Petrov 2 2007 The Deligne-Simpson problem and the connectedness of some varieties. Zbl 1133.15014Kostov, Vladimir Petrov 1 2007 On the Schur-Szegő composition of polynomials. Zbl 1127.30004Kostov, Vladimir; Shapiro, Boris 8 2006 Root arrangements of hyperbolic polynomial-like functions. Zbl 1155.12301Kostov, Vladimir Petrov 3 2006 On root arrangements of polynomial-like functions and their derivatives. Zbl 1097.12001Kostov, Vladimir Petrov 4 2005 Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030Balser, Werner; Kostov, Vladimir 3 2005 Very hyperbolic polynomials. Zbl 1124.12002Kostov, V. P. 3 2005 On polynomial-like functions. Zbl 1155.12300Kostov, Vladimir Petrov 3 2005 The connectedness of some varieties and the Deligne \(-\) Simpson problem. Zbl 1072.15022Kostov, Vladimir Petrov 2 2005 Very hyperbolic polynomials in one variable. Zbl 1093.26008Kostov, Vladimir Petrov 1 2005 The Deligne-Simpson problem – survey. Zbl 1066.15016Kostov, Vladimir Petrov 15 2004 On the Deligne–Simpson problem and its weak version. Zbl 1048.15012Kostov, Vladimir Petrov 2 2004 Very hyperbolic and stably hyperbolic polynomials. Zbl 1070.14059Kostov, Vladimir Petrov 2 2004 On some aspects of the Deligne-Simpson problem. Zbl 1031.15020Kostov, V. P. 10 2003 On a stratification defined by real roots of polynomials. Zbl 1049.12002Kostov, Vladimir Petrov 2 2003 Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142Balser, Werner; Kostov, Vladimir 1 2003 On the weak Deligne-Simpson problem for index of rigidity 2, with an appendix by Ofer Gabber. Zbl 1033.15012Kostov, Vladimir Petrov 1 2003 Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085Balser, W.; Kostov, V. 9 2002 On the Deligne-Simpson problem. Zbl 1036.34106Kostov, V. P. 6 2002 On arrangements of roots for a real hyperbolic polynomial and its derivatives. Zbl 0998.12001Kostov, Vladimir Petrov; Shapiro, Boris Zalmanovich 4 2002 Root configurations for hyperbolic polynomials of degree 3, 4, and 5. Zbl 1020.12004Kostov, V. P. 3 2002 Discriminant sets of families of hyperbolic polynomials of degree 4 and 5. Zbl 1026.12002Kostov, V. P. 3 2002 The Deligne-Simpson problem for zero index of rigidity. Zbl 0999.20039Kostov, Vladimir Petrov 7 2001 Examples illustrating some aspects of the weak Deligne-Simpson problem. Zbl 0980.15011Kostov, Vladimir Petrov 4 2001 Some examples related to the Deligne-Simpson problem. Zbl 1063.20055Kostov, Vladimir P. 3 2001 Some examples of rigid representations. Zbl 0974.15008Kostov, Vladimir Petrov 5 2000 Gauss-Manin systems of polynomials of two variables can be made Fuchsian. Zbl 0979.34066Kostov, Vladimir P. 1 2000 On the Deligne-Simpson problem. Zbl 0937.20024Kostov, Vladimir Petrov 17 1999 Quantum states of monodromy groups. Zbl 0958.34076Kostov, V. P. 4 1999 On the hyperbolicity domain of the polynomial \(x^n+a_1x^{n-1}+\cdots +a_n\). Zbl 0948.58027Kostov, Vladimir Petrov 3 1999 Shortest plane paths with bounded derivative of the curvature. Zbl 0946.49035Boissonnat, Jean-Daniel; Cérézo, André; Degtiariova-Kostova, Elena V.; Kostov, Vladimir P.; Leblond, Juliette 2 1999 Normal forms of unfoldings of non-Fuchsian systems. Zbl 0989.34072Kostov, V. P. 1 1999 On the existence of monodromy groups of Fuchsian systems on Riemann’s sphere with unipotent generators. Zbl 0948.34066Kostov, V. P. 8 1996 The minimal number of generators of a matrix algebra. Zbl 0952.16018Kostov, V. P. 1 1996 Suboptimal paths in a planar motion with bounded derivative of the curvature. Zbl 0863.49024Degtiariova-Kostova, Elena; Kostov, Vladimir 5 1995 The planar motion with bounded derivative of the curvature and its suboptimal paths. Zbl 0877.49028Kostov, V. P.; Degtiariova-Kostova, E. V. 5 1995 A generalization of the Burnside theorem and of Schur’s lemma for reducible representations. Zbl 0940.15011Kostov, V. P. 3 1995 Normal forms of unfoldings of non-Fuchsian systems. Zbl 0808.34005Kostov, Vladimir Petrov 3 1994 Regular linear systems on \({\mathbb{C}}P^ 1\) and their monodromy groups. Zbl 0814.34006Kostov, V. P. 3 1994 Versal deformations of powers of volume forms. Zbl 0792.32024Kostov, V. P.; Lando, S. K. 3 1993 Fuchsian linear systems on \(\mathbb{C} P^ 1\) and the Riemann-Hilbert problem. Zbl 0772.34007Kostov, Vladimir Petrov 11 1992 Versal deformations of differential forms of real degree on the real line. Zbl 0738.58001Kostov, V. P. 2 1990 On the stratification and singularities of the Stokes hypersurface of one- and two-parameter families of polynomials. Zbl 0731.58005Kostov, V. P. 2 1990 On the geometric properties of Vandermonde’s mapping and on the problem of moments. Zbl 0687.58030Kostov, V. P. 14 1989 Versal deformations of differential forms of degree \(\alpha\) on a line. Zbl 0573.58002Kostov, V. P. 6 1984 all cited Publications top 5 cited Publications all top 5 Cited by 166 Authors 43 Kostov, Vladimir Petrov 8 Shapiro, Boris Zalmanovich 7 Nguyen, Thu-Hien Thi 7 Vishnyakova, Anna M. 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 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 Riener, Cordian 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 Bach Nguyen 1 Bahraminasab, Mohammad Reza 1 Ballandras, Mathieu 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 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 Kontsevich, Maxim 1 Koumandos, Stamatis 1 Kulkarni, Maitreyee C. ...and 66 more Authors all top 5 Cited in 88 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 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 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 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 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 Journal of Pure and Applied Algebra 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 Forum Mathematicum 1 Mathematica Bohemica 1 International Journal of Foundations of Computer Science 1 Journal of Global Optimization 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 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 Matematychni Studiï 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 Journal of Singularities 1 Random Matrices: Theory and Applications 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Constructive Mathematical Analysis 1 Graduate Journal of Mathematics all top 5 Cited in 41 Fields 37 Ordinary differential equations (34-XX) 35 Real functions (26-XX) 35 Functions of a complex variable (30-XX) 22 Algebraic geometry (14-XX) 20 Field theory and polynomials (12-XX) 19 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) 10 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) 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 Statistics (62-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