Edit Profile (opens in new tab) Gabrielov, Andrei Compute Distance To: Compute Author ID: gabrielov.andrei Published as: Gabrielov, Andrei; Gabrielov, A. M.; Gabrielov, A.; Gabriehlov, A. M.; Gabrièlov, A. M. more...less Homepage: https://www.math.purdue.edu/~agabriel/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp Documents Indexed: 81 Publications since 1968 1 Contribution as Editor Co-Authors: 35 Co-Authors with 61 Joint Publications 1,082 Co-Co-Authors all top 5 Co-Authors 21 single-authored 26 Eremenko, Alexandre Émmanuilovich 11 Vorob’ëv, Nikolaĭ N. jun. 6 Gel’fand, Israil’ Moiseevich 5 Losik, Mark V. 4 Basu, Saugata 4 Birbrair, Lev 3 Shapiro, Boris Zalmanovich 3 Tarasov, Vitaly Olegovich 2 Keĭlis-Borok, Vladimir Isaakovich 2 Kushnirenko, A. G. 2 Zaliapin, Ilya 2 Zell, Thierry 1 Alexandersson, Per 1 Azar, Monique 1 Bürgisser, Peter 1 Fernandes, Alexandre Cesar Gurgel 1 Fuchs, Dmitry Borisovich 1 Grandjean, Vincent 1 Hinkkanen, Aimo 1 Jean, Frédéric 1 Khovanskiĭ, Askold Georgievich 1 Krick, Teresa 1 Lion, Jean-Marie 1 Malajovich, Gregorio 1 Mondello, Gabriele 1 Moussu, Robert 1 Newman, William I. 1 Novikov, Dmitry 1 Panov, Dmitri Alekseevich 1 Risler, Jean-Jacques 1 Shapiro, Michael Z. 1 Sinaĭ, Yakov Grigor’evich 1 Souza, Emanoel 1 Turcotte, Donald L. 1 Vainshtein, Alek all top 5 Serials 14 Functional Analysis and its Applications 6 Discrete & Computational Geometry 3 Funktsional’nyĭ Analiz i ego Prilozheniya 3 Computational Methods and Function Theory 3 Journal of Physics A: Mathematical and Theoretical 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Fractals 2 Selecta Mathematica. New Series 2 Moscow Mathematical Journal 2 Journal of Mathematical Physics, Analysis, Geometry 1 Annales de l’Institut Fourier 1 Journal of Pure and Applied Algebra 1 Mathematics of the USSR. Izvestiya 1 SIAM Journal on Control and Optimization 1 Topology 1 Journal of Complexity 1 IMRN. International Mathematics Research Notices 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Linear Algebra and its Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Computational Complexity 1 Mathematical Research Letters 1 Conformal Geometry and Dynamics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Foundations of Computational Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Arnold Mathematical Journal 1 European Journal of Mathematics all top 5 Fields 34 Algebraic geometry (14-XX) 21 Several complex variables and analytic spaces (32-XX) 17 Ordinary differential equations (34-XX) 16 Manifolds and cell complexes (57-XX) 9 Mathematical logic and foundations (03-XX) 8 Functions of a complex variable (30-XX) 7 Quantum theory (81-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 4 Real functions (26-XX) 4 Systems theory; control (93-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 Commutative algebra (13-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 704 times in 483 Documents Cited by ▼ Year ▼ Projections of semi-analytic sets. Zbl 0179.08503Gabrielov, A. M. 59 1968 Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry. Zbl 0997.14015Eremenko, A.; Gabrielov, A. 42 2002 Formal relations between analytic functions. Zbl 0297.32007Gabrielov, A. M. 35 1975 Multiplicities of Pfaffian intersections, and the Łojasiewicz inequality. Zbl 0889.32005Gabrielov, A. 22 1995 Degrees of real Wronski maps. Zbl 1004.14011Eremenko, A.; Gabrielov, A. 22 2002 Complements of subanalytic sets and existential formulas for analytic functions. Zbl 0851.32009Gabrielov, Andrei 21 1996 Mystery of point charges. Zbl 1128.31001Gabrielov, A.; Novikov, D.; Shapiro, B. 21 2007 Analytic continuation of eigenvalues of a quartic oscillator. Zbl 1184.34083Eremenko, Alexandre; Gabrielov, Andrei 21 2009 Pole placement by static output feedback for generic linear systems. Zbl 1031.93086Eremenko, A.; Gabrielov, A. 21 2002 Bifurcations, Dynkin diagrams, and modality of isolated singularities. Zbl 0344.32007Gabrielov, A. M. 20 1974 Intersection matrices for certain singularities. Zbl 0288.32011Gabrielov, A. M. 19 1974 Dynkin diagrams for unimodal singularities. Zbl 0304.14010Gabrielov, A. M. 19 1974 Betti number of semialgebraic and sub-Pfaffian sets. Zbl 1087.14038Gabrielov, A.; Vorobjov, N.; Zell, T. 19 2004 Approximation of definable sets by compact families, and upper bounds on homotopy and homology. Zbl 1177.14097Gabrielov, Andrei; Vorobjov, Nicolai 18 2009 Complexity of stratifications of semi-Pfaffian sets. Zbl 0832.68056Gabrielov, A.; Vorobjov, N. 17 1995 Betti numbers of semialgebraic sets defined by quantifier-free formulae. Zbl 1073.14072Gabrielov, Andrei; Vorobjov, Nicolai 15 2005 Rational functions and real Schubert calculus. Zbl 1110.14052Eremenko, A.; Gabrielov, A.; Shapiro, M.; Vainshtein, A. 15 2006 An elementary proof of the B. and M. Shapiro conjecture for rational functions. Zbl 1246.14062Eremenko, Alexandre; Gabrielov, Andrei 14 2011 Metrics with conic singularities and spherical polygons. Zbl 1405.30005Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly 14 2014 Formal relations between analytic functions. Zbl 0254.32009Gabrielov, A. M. 14 1972 Multiplicity of a Noetherian intersection. Zbl 0916.32008Gabrielov, Andrei; Khovanskii, Askold 14 1998 Metrics with four conic singularities and spherical quadrilaterals. Zbl 1343.30007Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly 13 2016 Polar curves and intersection matrices of singularities. Zbl 0421.32011Gabrielov, A. M. 12 1979 High energy eigenfunctions of one-dimensional Schrödinger operators with polynomial potentials. Zbl 1156.34072Eremenko, Alexandre; Gabrielov, Andrei; Shapiro, Boris 12 2008 Zeros of eigenfunctions of some anharmonic oscillators. Zbl 1155.34043Eremenko, Alexandre; Gabrielov, Andrei; Shapiro, Boris 12 2008 Multiplicities of zeroes of polynomials on trajectories of polynomial vector fields and bounds on degree of nonholonomy. Zbl 0845.32003Gabrielov, Andrei 11 1995 Combinatorial computation of characteristic classes. Zbl 0312.57016Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 10 1975 The Wronski map and Grassmannians of real codimension 2 subspaces. Zbl 1052.14057Eremenko, Alexandre; Gabrielov, Andrei 10 2001 Spherical quadrilaterals with three non-integer angles. Zbl 1364.30048Eremenko, A.; Gabrielov, A.; Tarasov, V. 9 2016 Combinatorial calculation of characteristic classes. Zbl 0312.57015Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 9 1975 The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations. Zbl 0347.57009Fuchs, D. B.; Gabrielov, A. M.; Gel’fand, I. M. 9 1976 Fractal trees with side branching. Zbl 0907.28005Newman, W. I.; Turcotte, D. L.; Gabrielov, A. M. 9 1997 Frontier and closure of a semi-Pfaffian set. Zbl 0911.32009Gabrielov, A. 8 1998 On metrics of curvature 1 with four conic singularities on tori and on the sphere. Zbl 1366.30029Eremenko, Alexandre; Gabrielov, Andrei 8 2015 Multiplicity of a zero of an analytic function on a trajectory of a vector field. Zbl 0948.32010Gabrielov, Andrei 8 1999 Avalanches, sandpiles and Tutte decomposition. Zbl 0786.60124Gabrielov, Andrei 8 1993 Spherical rectangles. Zbl 1365.30006Eremenko, Alexandre; Gabrielov, Andrei 7 2016 Counterexamples to pole placement by static output feedback. Zbl 1006.93032Eremenko, A.; Gabrielov, A. 7 2002 Lipschitz contact equivalence of function germs in \(\mathbb{R}^2\). Zbl 1397.14072Birbrair, Lev; Fernandes, Alexandre; Grandjean, Vincent; Gabrielov, Andrei 6 2017 Complexity of cylindrical decompositions of sub-Pfaffian. Zbl 0994.32006Gabrielov, Andrei; Vorobjov, Nicolai 6 2001 Semi-monotone sets. Zbl 1284.14081Basu, Saugata; Gabrielov, Andrei; Vorobjov, Nicolai 5 2013 Ambient Lipschitz equivalence of real surface singularities. Zbl 1444.58014Birbrair, Lev; Gabrielov, Andrei 4 2019 Quasi-exactly solvable quartic: elementary integrals and asymptotics. Zbl 1225.81050Eremenko, Alexandre; Gabrielov, Andrei 4 2011 Exceptional solutions to the Painlevé VI equation. Zbl 1360.34181Eremenko, Alexandre; Gabrielov, Andrei; Hinkkanen, Aimo 4 2017 Monotone functions and maps. Zbl 1273.14123Basu, Saugata; Gabrielov, Andrei; Vorobjov, Nicolai 4 2013 Statistical properties of the cluster dynamics of the systems of statistical mechanics. Zbl 1156.82304Gabrielov, A.; Keilis-Borok, V.; Sinai, Ya.; Zaliapin, I. 4 2008 Some lower bounds in the B. and M. Shapiro conjecture for flag varieties. Zbl 1235.14047Azar, Monique; Gabrielov, Andrei 3 2011 A local combinatorial formula for the first class of Pontryagin. Zbl 0328.57006Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 3 1976 Combinatorial calculus of characteristic classes. Zbl 0341.57017Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 3 1976 Atiyah-Patodi-Singer functionals for characteristic functionals for tangent bundles. Zbl 0344.57008Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 3 1976 On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential. Zbl 1280.34090Alexandersson, Per; Gabrielov, Andrei 3 2012 Singular perturbation of polynomial potentials with applications to \(PT\)-symmetric families. Zbl 1258.34179Eremenko, Alexandre; Gabrielov, Andrei 3 2011 Counterexamples to quantifier elimination for fewnomial and exponential expressions. Zbl 1149.14044Gabrielov, Andrei 3 2007 Order of contact of integral plane curves. (Ordre de contact de courbes intégrales du plan.) Zbl 0836.14014Gabrielov, Andrei; Lion, Jean-Marie; Moussu, Robert 3 1994 Circular pentagons and real solutions of Painlevé VI equations. Zbl 1376.34074Eremenko, Alexandre; Gabrielov, Andrei 2 2017 PT-symmetric eigenvalues for homogeneous potentials. Zbl 1390.81145Eremenko, Alexandre; Gabrielov, Andrei 2 2018 On topological lower bounds for algebraic computation trees. Zbl 1365.14080Gabrielov, Andrei; Vorobjov, Nicolai 2 2017 Formale Relationen zwischen analytischen Funktionen. Zbl 0288.32008Gabrielov, A. M. 2 1973 Multiplicity of polynomials on trajectories of polynomial vector fields in \(\mathbb{C}^3\). Zbl 0922.32023Gabrielov, Andrei; Jean, Frédéric; Risler, Jean-Jacques 2 1998 Relative closure and the complexity of Pfaffian elimination. Zbl 1094.14045Gabrielov, Andrei 1 2003 A Helly-type theorem for semi-monotone sets and monotone maps. Zbl 1284.14082Basu, Saugata; Gabrielov, Andrei; Vorobjov, Nicolai 1 2013 Eine Beschreibung der Deformation mit konstanter Milnorzahl für homogene Funktionen. Zbl 0319.32023Gabriehlov, A. M.; Kushnirenko, A. G. 1 1975 Description of deformations with constant Milnor number for homogeneous functions. Zbl 0325.32007Gabriehlov, A. M.; Kushnirenko, A. G. 1 1976 Kombinatorische Formeln für Pontrjaginsche Klassen und GL-invariante Ketten. Zbl 0392.57005Gabrielov, A. M. 1 1978 Quasi-exactly solvable quartic: real algebraic spectral locus. Zbl 1241.81058Eremenko, Alexandre; Gabrielov, Andrei 1 2012 Combinatorial formulas for Pontryagin classes and GL-invariant chains. Zbl 0407.57019Gabrielov, A. M. 1 1978 Lipschitz geometry and combinatorics of abnormal surface germs. Zbl 07437387Gabrielov, Andrei; Souza, Emanoel 1 2022 On the number of connected components of the relative closure of a semi-Pfaffian family. Zbl 1035.32006Gabrielov, Andrei; Zell, Thierry 1 2003 Lipschitz geometry and combinatorics of abnormal surface germs. Zbl 07437387Gabrielov, Andrei; Souza, Emanoel 1 2022 Ambient Lipschitz equivalence of real surface singularities. Zbl 1444.58014Birbrair, Lev; Gabrielov, Andrei 4 2019 PT-symmetric eigenvalues for homogeneous potentials. Zbl 1390.81145Eremenko, Alexandre; Gabrielov, Andrei 2 2018 Lipschitz contact equivalence of function germs in \(\mathbb{R}^2\). Zbl 1397.14072Birbrair, Lev; Fernandes, Alexandre; Grandjean, Vincent; Gabrielov, Andrei 6 2017 Exceptional solutions to the Painlevé VI equation. Zbl 1360.34181Eremenko, Alexandre; Gabrielov, Andrei; Hinkkanen, Aimo 4 2017 Circular pentagons and real solutions of Painlevé VI equations. Zbl 1376.34074Eremenko, Alexandre; Gabrielov, Andrei 2 2017 On topological lower bounds for algebraic computation trees. Zbl 1365.14080Gabrielov, Andrei; Vorobjov, Nicolai 2 2017 Metrics with four conic singularities and spherical quadrilaterals. Zbl 1343.30007Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly 13 2016 Spherical quadrilaterals with three non-integer angles. Zbl 1364.30048Eremenko, A.; Gabrielov, A.; Tarasov, V. 9 2016 Spherical rectangles. Zbl 1365.30006Eremenko, Alexandre; Gabrielov, Andrei 7 2016 On metrics of curvature 1 with four conic singularities on tori and on the sphere. Zbl 1366.30029Eremenko, Alexandre; Gabrielov, Andrei 8 2015 Metrics with conic singularities and spherical polygons. Zbl 1405.30005Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly 14 2014 Semi-monotone sets. Zbl 1284.14081Basu, Saugata; Gabrielov, Andrei; Vorobjov, Nicolai 5 2013 Monotone functions and maps. Zbl 1273.14123Basu, Saugata; Gabrielov, Andrei; Vorobjov, Nicolai 4 2013 A Helly-type theorem for semi-monotone sets and monotone maps. Zbl 1284.14082Basu, Saugata; Gabrielov, Andrei; Vorobjov, Nicolai 1 2013 On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential. Zbl 1280.34090Alexandersson, Per; Gabrielov, Andrei 3 2012 Quasi-exactly solvable quartic: real algebraic spectral locus. Zbl 1241.81058Eremenko, Alexandre; Gabrielov, Andrei 1 2012 An elementary proof of the B. and M. Shapiro conjecture for rational functions. Zbl 1246.14062Eremenko, Alexandre; Gabrielov, Andrei 14 2011 Quasi-exactly solvable quartic: elementary integrals and asymptotics. Zbl 1225.81050Eremenko, Alexandre; Gabrielov, Andrei 4 2011 Some lower bounds in the B. and M. Shapiro conjecture for flag varieties. Zbl 1235.14047Azar, Monique; Gabrielov, Andrei 3 2011 Singular perturbation of polynomial potentials with applications to \(PT\)-symmetric families. Zbl 1258.34179Eremenko, Alexandre; Gabrielov, Andrei 3 2011 Analytic continuation of eigenvalues of a quartic oscillator. Zbl 1184.34083Eremenko, Alexandre; Gabrielov, Andrei 21 2009 Approximation of definable sets by compact families, and upper bounds on homotopy and homology. Zbl 1177.14097Gabrielov, Andrei; Vorobjov, Nicolai 18 2009 High energy eigenfunctions of one-dimensional Schrödinger operators with polynomial potentials. Zbl 1156.34072Eremenko, Alexandre; Gabrielov, Andrei; Shapiro, Boris 12 2008 Zeros of eigenfunctions of some anharmonic oscillators. Zbl 1155.34043Eremenko, Alexandre; Gabrielov, Andrei; Shapiro, Boris 12 2008 Statistical properties of the cluster dynamics of the systems of statistical mechanics. Zbl 1156.82304Gabrielov, A.; Keilis-Borok, V.; Sinai, Ya.; Zaliapin, I. 4 2008 Mystery of point charges. Zbl 1128.31001Gabrielov, A.; Novikov, D.; Shapiro, B. 21 2007 Counterexamples to quantifier elimination for fewnomial and exponential expressions. Zbl 1149.14044Gabrielov, Andrei 3 2007 Rational functions and real Schubert calculus. Zbl 1110.14052Eremenko, A.; Gabrielov, A.; Shapiro, M.; Vainshtein, A. 15 2006 Betti numbers of semialgebraic sets defined by quantifier-free formulae. Zbl 1073.14072Gabrielov, Andrei; Vorobjov, Nicolai 15 2005 Betti number of semialgebraic and sub-Pfaffian sets. Zbl 1087.14038Gabrielov, A.; Vorobjov, N.; Zell, T. 19 2004 Relative closure and the complexity of Pfaffian elimination. Zbl 1094.14045Gabrielov, Andrei 1 2003 On the number of connected components of the relative closure of a semi-Pfaffian family. Zbl 1035.32006Gabrielov, Andrei; Zell, Thierry 1 2003 Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry. Zbl 0997.14015Eremenko, A.; Gabrielov, A. 42 2002 Degrees of real Wronski maps. Zbl 1004.14011Eremenko, A.; Gabrielov, A. 22 2002 Pole placement by static output feedback for generic linear systems. Zbl 1031.93086Eremenko, A.; Gabrielov, A. 21 2002 Counterexamples to pole placement by static output feedback. Zbl 1006.93032Eremenko, A.; Gabrielov, A. 7 2002 The Wronski map and Grassmannians of real codimension 2 subspaces. Zbl 1052.14057Eremenko, Alexandre; Gabrielov, Andrei 10 2001 Complexity of cylindrical decompositions of sub-Pfaffian. Zbl 0994.32006Gabrielov, Andrei; Vorobjov, Nicolai 6 2001 Multiplicity of a zero of an analytic function on a trajectory of a vector field. Zbl 0948.32010Gabrielov, Andrei 8 1999 Multiplicity of a Noetherian intersection. Zbl 0916.32008Gabrielov, Andrei; Khovanskii, Askold 14 1998 Frontier and closure of a semi-Pfaffian set. Zbl 0911.32009Gabrielov, A. 8 1998 Multiplicity of polynomials on trajectories of polynomial vector fields in \(\mathbb{C}^3\). Zbl 0922.32023Gabrielov, Andrei; Jean, Frédéric; Risler, Jean-Jacques 2 1998 Fractal trees with side branching. Zbl 0907.28005Newman, W. I.; Turcotte, D. L.; Gabrielov, A. M. 9 1997 Complements of subanalytic sets and existential formulas for analytic functions. Zbl 0851.32009Gabrielov, Andrei 21 1996 Multiplicities of Pfaffian intersections, and the Łojasiewicz inequality. Zbl 0889.32005Gabrielov, A. 22 1995 Complexity of stratifications of semi-Pfaffian sets. Zbl 0832.68056Gabrielov, A.; Vorobjov, N. 17 1995 Multiplicities of zeroes of polynomials on trajectories of polynomial vector fields and bounds on degree of nonholonomy. Zbl 0845.32003Gabrielov, Andrei 11 1995 Order of contact of integral plane curves. (Ordre de contact de courbes intégrales du plan.) Zbl 0836.14014Gabrielov, Andrei; Lion, Jean-Marie; Moussu, Robert 3 1994 Avalanches, sandpiles and Tutte decomposition. Zbl 0786.60124Gabrielov, Andrei 8 1993 Polar curves and intersection matrices of singularities. Zbl 0421.32011Gabrielov, A. M. 12 1979 Kombinatorische Formeln für Pontrjaginsche Klassen und GL-invariante Ketten. Zbl 0392.57005Gabrielov, A. M. 1 1978 Combinatorial formulas for Pontryagin classes and GL-invariant chains. Zbl 0407.57019Gabrielov, A. M. 1 1978 The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations. Zbl 0347.57009Fuchs, D. B.; Gabrielov, A. M.; Gel’fand, I. M. 9 1976 A local combinatorial formula for the first class of Pontryagin. Zbl 0328.57006Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 3 1976 Combinatorial calculus of characteristic classes. Zbl 0341.57017Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 3 1976 Atiyah-Patodi-Singer functionals for characteristic functionals for tangent bundles. Zbl 0344.57008Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 3 1976 Description of deformations with constant Milnor number for homogeneous functions. Zbl 0325.32007Gabriehlov, A. M.; Kushnirenko, A. G. 1 1976 Formal relations between analytic functions. Zbl 0297.32007Gabrielov, A. M. 35 1975 Combinatorial computation of characteristic classes. Zbl 0312.57016Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 10 1975 Combinatorial calculation of characteristic classes. Zbl 0312.57015Gabrielov, A. M.; Gel’fand, I. M.; Losik, M. V. 9 1975 Eine Beschreibung der Deformation mit konstanter Milnorzahl für homogene Funktionen. Zbl 0319.32023Gabriehlov, A. M.; Kushnirenko, A. G. 1 1975 Bifurcations, Dynkin diagrams, and modality of isolated singularities. Zbl 0344.32007Gabrielov, A. M. 20 1974 Intersection matrices for certain singularities. Zbl 0288.32011Gabrielov, A. M. 19 1974 Dynkin diagrams for unimodal singularities. Zbl 0304.14010Gabrielov, A. M. 19 1974 Formale Relationen zwischen analytischen Funktionen. Zbl 0288.32008Gabrielov, A. M. 2 1973 Formal relations between analytic functions. Zbl 0254.32009Gabrielov, A. M. 14 1972 Projections of semi-analytic sets. Zbl 0179.08503Gabrielov, A. M. 59 1968 all cited Publications top 5 cited Publications all top 5 Cited by 572 Authors 28 Gabrielov, Andrei 23 Basu, Saugata 18 Eremenko, Alexandre Émmanuilovich 13 Shapiro, Boris Zalmanovich 12 Vorob’ëv, Nikolaĭ N. jun. 10 Binyamini, Gal 9 Tarasov, Vitaly Olegovich 8 Ebeling, Wolfgang 7 Khimshiashvili, Giorgi 7 Kovchegov, Yevgeniy V. 7 Lin, Chang-Shou 7 Sottile, Frank 6 Bierstone, Edward 6 Lion, Jean-Marie 6 Milman, Pierre D. 6 Mukhin, Evgeny 6 Novikov, Dmitry 6 Rolin, Jean-Philippe 6 Yomdin, Yosef 6 Zaliapin, Ilya 5 Birbrair, Lev 5 Chen, Zhijie 5 Gel’fand, Israil’ Moiseevich 5 Giorgadze, Grigory 5 Izumi, Shuzo 5 Kurdyka, Krzysztof 5 Varchenko, Alexander Nikolaevich 4 Kuo, Ting-Jung 4 Masoero, Davide 4 Pila, Jonathan 4 Purbhoo, Kevin 4 Risler, Jean-Jacques 4 Shapiro, Michael Z. 4 Spodzieja, Stanisław 4 Vasil’ev, Viktor Anatol’evich 4 Zell, Thierry 3 Becker, Joseph A. 3 del Campo, Abraham Martín 3 Fernandes, Alexandre Cesar Gurgel 3 Goncharov, Alexander Borisovich 3 Grecchi, Vincenzo 3 Greuel, Gert-Martin 3 Hauser, Herwig 3 Hein, Nickolas 3 Hertling, Claus 3 Le Gal, Olivier 3 MacPherson, Robert Duncan 3 Mityagin, Boris Samuilovich 3 Nuño-Ballesteros, Juan José 3 Pawłucki, Wiesław 3 Riener, Cordian 3 Rond, Guillaume 3 Roy, Marie-Françoise 3 Schechtman, Vadim 3 Schoutens, Hans 3 Servi, Tamara 3 Simonella, Sergio 3 Speissegger, Patrick 3 Tsai, Ya-Lun 3 Turbiner, Alexander 2 Agrachev, Andreĭ Aleksandrovich 2 Alexandersson, Per 2 Biggs, Norman Linstead 2 Bukhshtaber, Viktor Matveevich 2 Chmutov, Sergei V. 2 Comte, Georges 2 Cutkosky, Steven Dale 2 Fernando, José F. 2 Françoise, Jean-Pierre 2 Fuchs, Dmitry Borisovich 2 Giachetti, Riccardo 2 Gressman, Philip T. 2 Grigor’ev, Dmitriĭ Yur’evich 2 Hillar, Christopher J. 2 Hinkkanen, Aimo 2 Jones, Gareth Owen 2 Korovina, Margarita Vladimirovna 2 Lê Dûng Tráng 2 Lönne, Michael 2 Lundberg, Erik 2 Malchiodi, Andrea 2 Mikrin, Evgeniĭ Anatol’evich 2 Mondello, Gabriele 2 Muciño-Raymundo, Jesús 2 Müller, Gerd 2 Nicolaescu, Liviu I. 2 Olver, Peter John 2 Osserman, Brian 2 Panov, Dmitri Alekseevich 2 Pardo, Luis Miguel 2 Pasechnik, Dmitrii V. 2 Patterson, Robert I. A. 2 Peretz, Yossi 2 Pukhlikov, Aleksandr Valentinovich 2 Richardson, Dan 2 Roffelsen, Pieter 2 Rong, Xiaochun 2 Roussarie, Robert 2 Soares Ruas, Maria Aparecida 2 Ryabchenko, Vladimir Nikolaevich ...and 472 more Authors all top 5 Cited in 183 Serials 27 Annales de l’Institut Fourier 20 Advances in Mathematics 18 Mathematische Annalen 13 Discrete & Computational Geometry 12 Journal of Mathematical Physics 12 Duke Mathematical Journal 10 Proceedings of the American Mathematical Society 10 Foundations of Computational Mathematics 9 Computational Methods and Function Theory 8 Communications in Mathematical Physics 8 Compositio Mathematica 7 Arnold Mathematical Journal 6 Functional Analysis and its Applications 6 Inventiones Mathematicae 6 Journal of Algebra 6 Journal of Pure and Applied Algebra 6 Journal of Soviet Mathematics 6 Manuscripta Mathematica 6 Geometric and Functional Analysis. GAFA 6 Journal of Mathematical Sciences (New York) 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Letters in Mathematical Physics 5 Mathematische Zeitschrift 5 International Journal of Mathematics 5 Selecta Mathematica. New Series 5 Journal of the European Mathematical Society (JEMS) 4 Journal of Functional Analysis 4 The Journal of Symbolic Logic 4 Theoretical Computer Science 4 Transactions of the American Mathematical Society 4 Journal of Symbolic Computation 4 Chaos 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Automatica 3 Illinois Journal of Mathematics 3 Journal of Differential Equations 3 Proceedings of the Japan Academy. Series A 3 Topology and its Applications 3 Annals of Pure and Applied Logic 3 Constructive Approximation 3 Journal of the American Mathematical Society 3 The Journal of Geometric Analysis 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Experimental Mathematics 3 Doklady Mathematics 3 Annals of Mathematics. Second Series 3 Journal of High Energy Physics 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of Singularities 3 Analysis and Mathematical Physics 2 International Journal of Modern Physics A 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Geometry and Physics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Geometriae Dedicata 2 Nagoya Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Advances in Applied Mathematics 2 Physica D 2 Expositiones Mathematicae 2 Journal of Algebraic Combinatorics 2 Geometry & Topology 2 Journal of Dynamical and Control Systems 2 Qualitative Theory of Dynamical Systems 2 Differential Equations 2 Journal of Algebra and its Applications 2 Complex Variables and Elliptic Equations 2 Probability Surveys 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Advances in Applied Probability 1 Analysis Mathematica 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nonlinearity 1 Physics Reports 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Algebra and Logic 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica ...and 83 more Serials all top 5 Cited in 57 Fields 178 Algebraic geometry (14-XX) 122 Several complex variables and analytic spaces (32-XX) 54 Ordinary differential equations (34-XX) 49 Mathematical logic and foundations (03-XX) 48 Global analysis, analysis on manifolds (58-XX) 39 Manifolds and cell complexes (57-XX) 36 Computer science (68-XX) 34 Functions of a complex variable (30-XX) 33 Quantum theory (81-XX) 28 Partial differential equations (35-XX) 27 Combinatorics (05-XX) 26 Systems theory; control (93-XX) 25 Number theory (11-XX) 25 Dynamical systems and ergodic theory (37-XX) 22 Commutative algebra (13-XX) 20 Differential geometry (53-XX) 19 Real functions (26-XX) 15 Convex and discrete geometry (52-XX) 15 Probability theory and stochastic processes (60-XX) 14 Special functions (33-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Field theory and polynomials (12-XX) 11 Optics, electromagnetic theory (78-XX) 10 Algebraic topology (55-XX) 10 Mechanics of particles and systems (70-XX) 9 Numerical analysis (65-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Nonassociative rings and algebras (17-XX) 8 Functional analysis (46-XX) 7 Group theory and generalizations (20-XX) 7 Geometry (51-XX) 6 Operator theory (47-XX) 5 Approximations and expansions (41-XX) 5 Operations research, mathematical programming (90-XX) 4 Potential theory (31-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Measure and integration (28-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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