Alexandre Eremenko

Alexandre Eremenko's AcademicInfluence.com Rankings

Alexandre Eremenko

Mathematics

#653

World Rank

#1203

Historical Rank

#284

USA Rank

Measure Theory

#2621

World Rank

#3136

Historical Rank

#750

USA Rank

mathematics Degrees

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Mathematics

Alexandre Eremenko's Degrees

PhD Mathematics Moscow State University

Why Is Alexandre Eremenko Influential?

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According to Wikipedia, Alexandre Eremenko is a Ukrainian-American mathematician who works in the fields of complex analysis and dynamical systems. Academic career Eremenko was born into a medical family. His father was a pathophysiologist, professor and head of the Department of pathophysiology at Ternopil National Medical University. His mother was an ophthalmologist. He obtained his master's degree from Lviv University in 1976 and worked in the Institute of Low temperature physics and Engineering in Kharkiv until 1990. He received his PhD from Rostov State University in 1979 , and is currently a distinguished professor at Purdue University.

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Alexandre Eremenko's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Lyubich: Dynamical properties of some classes of entire functions (1992) (463)
On the singularities of the inverse to a meromorphic function of finite order (1995) (390)
On the iteration of entire functions (1989) (238)
Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry (2004) (137)
Examples of Entire Functions with Pathological Dynamics (1987) (118)
Metrics of positive curvature with conic singularities on the sphere (2002) (102)
Pole Placement by Static Output Feedback for Generic Linear Systems (2002) (101)
Degrees of Real Wronski Maps (2001) (66)
Meromorphic solutions of algebraic differential equations (1982) (61)
Uniform limits of certain A-harmonic functions with applications to quasiregular mappings (1991) (56)
Spectra of the Gurtin-Pipkin Type Equations (2010) (55)
Meromorphic solutions of higher order Briot–Bouquet differential equations (2007) (55)
Analytic Continuation of Eigenvalues of a Quartic Oscillator (2008) (52)
ON EQUILIBRIUM POINTS OF LOGARITHMIC AND NEWTONIAN POTENTIALS (1993) (52)
Meromorphic traveling wave solutions of the Kuramoto-Sivashinsky equation (2005) (51)
A problem on Julia sets (1987) (51)
Rational functions and real Schubert calculus (2004) (48)
On the zeros of meromorphic functions of the formf(z)=Σk=1∞ak/z−zk (1994) (47)
Periodic points of polynomials (1989) (41)
Metrics with conic singularities and spherical polygons (2014) (41)
High Energy Eigenfunctions of One-Dimensional Schrödinger Operators with Polynomial Potentials (2007) (38)
Uniform approximation of sgn x by polynomials and entire functions (2006) (38)
RATIONAL SOLUTIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS (1998) (37)
Elementary proof of the B. and M. Shapiro conjecture for rational functions (2005) (36)
Real entire functions of infinite order and a conjecture of Wiman (2002) (34)
Rational maps with real multipliers (2011) (33)
ZEROS OF EIGENFUNCTIONS OF SOME ANHARMONIC OSCILLATORS (2006) (33)
Direct singularities and completely invariant domains of entire functions (2006) (33)
Comb functions (2011) (31)
Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions (2005) (31)
Oscillation of Fourier Integrals with a spectral gap (2003) (30)
The Wronski map and Grassmannians of Real Codimension 2 Subspaces (2001) (29)
AN EXTREMAL PROBLEM FOR POLYNOMIALS (1994) (29)
INFINITE SERIES (2002) (29)
Covering properties of meromorphic functions, negative curvature and spherical geometry (2000) (28)
Metrics with four conic singularities and spherical quadrilaterals (2014) (27)
On nodal sets and nodal domains on S^2 and R^2 (2006) (25)
Normal holomorphic curves from parabolic regions to projective spaces Preprint (2007) (24)
Spherical quadrilaterals with three non-integer angles (2015) (24)
Co-axial monodromy (2017) (23)
On metrics of curvature 1 with four conic singularities on tori and on the sphere (2015) (23)
On nodal sets and nodal domains on \mathbf{S^2} and {\mathbb{R}}^{\mathbf{2}}@@@Sur les ensembles nodaux et les domaines nodaux sur S^2 et {\mathbb{R}}^2 (2007) (23)
Bloch radius, normal families and quasiregular mappings (1999) (23)
Dynamics of a higher dimensional analog of the trigonometric functions (2010) (22)
Nevanlinna functions with real zeros (2003) (22)
Iterations of rational functions and the distribution of the values of the Poincaré functions (1992) (22)
Counterexamples to pole placement by static output feedback (2002) (21)
A Markov-type inequality for arbitrary plane continua (2006) (21)
Uniformly hyperbolic surfaces (2000) (21)
An analogue of the defect relation for the uniform metric (1997) (20)
Geometric theory of meromorphic functions (2021) (20)
On the Number of Solutions of a Transcendental Equation Arising in the Theory of Gravitational Lensing (2009) (20)
Green's function and anti-holomorphic dynamics on a torus (2015) (19)
A Picard Type Theorem for Holomorphic Curves (1999) (18)
SHARP ESTIMATES FOR HYPERBOLIC METRICS AND COVERING THEOREMS OF LANDAU TYPE (2005) (18)
Value distribution and potential theory (2003) (17)
On the Bank-Laine conjecture (2014) (17)
Polynomials of the best uniform approximation to sgn(x) on two intervals (2010) (16)
The Arithmetic of Entire Functions under Composition (1996) (16)
Invariant curves and semiconjugacies of rational functions (2011) (15)
Structural stability in some families of entire functions (1985) (15)
On the hyperbolic metric of the complement of a rectangular lattice (2011) (15)
Brody curves omitting hyperplanes (2008) (14)
Herbert Stahl's proof of the BMV conjecture (2013) (14)
Set of asymptotic values of a meromorphic function of finite order (1978) (14)
On the characterization of a Riemann surface by its semigroup of endomorphisms (1993) (14)
Quasi-exactly solvable quartic: elementary integrals and asymptotics (2011) (13)
Roots of polynomials with positive coefficients (2013) (13)
Spherical Rectangles (2016) (13)
On the ‘pits effect’ of Littlewood and Offord (2007) (13)
Quasiconformal surgery and linear differential equations (2015) (13)
Entire functions of slow growth whose Julia set coincides with the plane (2000) (12)
Schlicht regions for entire and meromorphic functions (1999) (12)
Distribution of zeros of polynomials with positive coefficients (2014) (12)
Growth of entire and subharmonic functions on asymptotic curves (1980) (12)
Generalization of a theorem of Clunie and Hayman (2010) (12)
Metrics of constant positive curvature with four conic singularities on the sphere (2019) (12)
Fuchsian Equations with Three Non-Apparent Singularities (2018) (11)
Parametrization of entire functions of sine-type by their critical values (1992) (11)
SINGULAR PERTURBATION OF POLYNOMIAL POTENTIALS WITH APPLICATIONS TO PT-SYMMETRIC FAMILIES (2010) (11)
Singular perturbation of polynomial potentials in the complex domain with applications to PT-symmetric families (2010) (11)
Transcendental Dynamics and Complex Analysis: Meromorphic functions with two completely invariant domains (2008) (11)
Transcendental meromorphic functions with three singular values (2004) (11)
Irreducibility of some spectral determinants (2009) (11)
Ahlfors' contribution to the theory of meromorphic functions (2021) (10)
A new proof of Drasin's theorem on meromorphic functions of finite order with maximal deficiency sum. I (1990) (10)
Meromorphic functions with linearly distributed values and Julia sets of rational functions (2008) (10)
Meromorphic solutions of first-order algebraic differential equations (1984) (10)
On the Zeros of Meromorphic Functions of the Form F(z) = ~-~o~ ~a K=l Z-z~ (10)
Oscillation of functions with a spectral gap. (2004) (9)
Singularities of inverse functions (2021) (9)
Spectral Inclusion and Analytic Continuation (1999) (9)
Holomorphic curves omitting five planes in projective space (1996) (9)
A counterexample to the Arakelyan conjecture (1992) (9)
Meromorphic functions with two completely invariant domains (2003) (9)
Entire functions with two radially distributed values (2015) (9)
ON ASYMPTOTIC CURVES OF ENTIRE FUNCTIONS OF FINITE ORDER (1980) (9)
Exceptional values in holomorphic families of entire functions (2005) (8)
On the distribution of zeros of a Ruelle zeta-function (2017) (8)
Moduli of spherical tori with one conical point (2020) (8)
PROOF OF A CONDITIONAL THEOREM OF LITTLEWOOD ON THE DISTRIBUTION OF VALUES OF ENTIRE FUNCTIONS (1988) (8)
On the riesz charge of the lower envelope of δ-subharmonic functions (1992) (7)
Exceptional solutions to the Painlevé VI equation (2016) (7)
Metrics of constant positive curvature with conic singularities. A survey (2021) (6)
Entire functions, PT-symmetry and Voros’s quantization scheme (2015) (6)
A property of the derivative of an entire function (2011) (6)
An extremal problem for a class of entire functions of exponential type (2008) (6)
On the Second Main Theorem of Cartan (2014) (6)
Minimum of the modulus of an entire function on the sequence of Polya peaks (1990) (6)
The inverse problem of value-distribution theory for meromorphic functions of finite order (1986) (6)
Landau's theorem for holomorphic curves in projective space and the Kobayashi metric on hyperplane complements (2006) (6)
A hypothesis of Littlewood and the distribution of values of entire functions (1986) (6)
Estimating the characteristic exponents of polynomials (1997) (5)
A counterexample to Cartan’s conjecture on holomorphic curves omitting hyperplanes (1996) (5)
On the frontier operator in Boolean algebras with a closure (1974) (5)
Problems in holomorphic dynamics (1992) (5)
ZEROS OF DIFFERENTIAL POLYNOMIALS IN REAL MEROMORPHIC FUNCTIONS (2004) (5)
Extremal holomorphic curves for defect relations (1998) (5)
On the number of solutions of some transcendental equations (2017) (5)
Remarks on the Obrechkoff inequality (2014) (4)
Moduli spaces for Lamé functions and Abelian differentials of the second kind (2020) (4)
QUASI-EXCEPTIONAL DOMAINS (2014) (4)
ALEKSANDROV SURFACES AND HYPERBOLICITY (2003) (4)
Circular Pentagons and Real Solutions of Painlevé VI Equations (2016) (4)
Densities in Fabry’s theorem (2007) (4)
Non-Algebraic Quadrature Domains (2012) (4)
Quasi-exactly solvable quartic: real algebraic spectral locus (2011) (4)
On the spherical derivative of a rational function (2012) (4)
Correction to the paper ‘Entire functions of slow growth whose Julia set coincides with the plane’ (2001) (4)
A VERSION OF FABRY'S THEOREM FOR POWER SERIES WITH REGULARLY VARYING COEFFICIENTS (2007) (4)
Entire and meromorphic solutions of ordinary difierential equations (1997) (4)
Meromorphic functions of finite order with maximal deficiency sum (1992) (4)
Set of defect values of an entire function of finite order (1987) (3)
Radially distributed values and normal families (2017) (3)
Electrostatic skeletons (2013) (3)
An estimate for spherically p-valent functions (1998) (3)
Univalent functions of fast growth with gap power series (1999) (3)
Julia directions for holomorphic curves (1988) (3)
PT-symmetric eigenvalues for homogeneous potentials (2017) (3)
Degrees of real Grassmann varieties (2001) (3)
Rigidity results on Liouville equation (2022) (2)
LANDAU ’ S THEOREM FOR HOLOMORPHIC CURVES (2008) (2)
Meromorphic functions of one complex variable. A survey (2008) (2)
A Toda lattice in dimension 2 and Nevanlinna theory (2004) (2)
Canonical Embeddings of Pairs of Arcs (2020) (2)
Critical values of generating functions of totally positive sequences (2)
Rational functions with real multipliers (2008) (2)
Progress in Entire and Meromorphic Functions (2003) (2)
Growth of the Nevanlinna proximity function (1978) (2)
Spectral loci of Sturm--Liouville operators with polynomial potentials (2013) (2)
Finely Open Sets in the Limit Set of a Finitely Generated Kleinian Group (1992) (1)
Complex Analysis An extremal problem for a class of entire functions (2008) (1)
Interactions between function theory and holomorphic dynamics (2020) (1)
Radially distributed values and normal families. II (2018) (1)
Spherical polygons and differential equations (2015) (1)
Disconjugacy and the Secant Conjecture (2015) (1)
Normal holomorphic maps from C* to a projective space (2012) (1)
F. Gehring's problem on linked curves (2009) (1)
Wandering Domains for Holomorphic Maps (2013) (1)
On Conformal Metrics of Constant Positive Curvature in the Plane (2022) (1)
On the natural asymptotic curves of meromorphic functions (1985) (1)
The space of Schwarz-Klein spherical triangles (2020) (1)
CORRECTION TO THE PAPER "ON THE SECOND MAIN THEOREM OF CARTAN" (2015) (1)
The space of Schwarz-Klein triangles (2020) (1)
Valiron deficiencies of entire characteristic functions of finite order (1977) (1)
On the zero sets of certain entire functions (1996) (1)
Two-parametric PT-symmetric quartic family (2011) (1)
Some constants coming from the work of Littlewood A . Eremenko (2015) (0)
Entire Functions with Separated Zeros and 1-Points (2020) (0)
GOLDBERG ’ S CONSTANTS WALTER BERGWEILER AND ALEXANDRE EREMENKO (2011) (0)
On the behavior of an entire function on a sequence of concentric circles (1989) (0)
Valiron exceptional values of entire functions of completely regular growth (1990) (0)
Singularities of implicit functions (2015) (0)
Entire Functions with Separated Zeros and 1-Points (2020) (0)
Independence of some polynomial statistics and of the sample mean (1983) (0)
Lectures on Nevanlinna theory (2010) (0)
Topics in entire functions. Lectures in Kent University (2020) (0)
On the number of solutions of some transcendental equations (2017) (0)
A conjecture about meromorphic functions in the plane (2013) (0)
A survey of some results after 1970 (0)
Normal Holomorphic Maps from C (2012) (0)
Eleven Papers on Differential Equations (1985) (0)
Circular Pentagons and Real Solutions of Painlevé VI Equations (2017) (0)
On the linear differential equations whose general solutions are elementary entire functions (2012) (0)
Linear independence of exponentials on the real line (2012) (0)
11 Classification of spherical quadrilaterals with two adjacent non-integer corners (2015) (0)
Quasiconformal surgery and linear differential equations (2019) (0)
Backward uniqueness for the heat equation (2015) (0)
Disconjugacy and the Secant Conjecture (2015) (0)
A new proof of Drasin's theorem on meromorphic functions of finite order with maximal deficiency sum. II (1990) (0)
Escaping set of an entire function (2005) (0)
Malmquist’s theorem on algebroid solutions of first order differential equations (2021) (0)
GROWTH OF ENTIRE AND SUBHARMONIC ON ASYMPTOTIC CURVES t (2004) (0)
Second order linear differential equations with a basis of solutions having only real zeros (2022) (0)
Meromorphic Functions with Three Radially Distributed Values (2020) (0)
2 7 Fe b 20 04 Transcendental meromorphic functions with three singular values (0)
A problem of Stanislaw Saks (2019) (0)
Meromorphic functions with three singular values (2003) (0)
Exceptional values in the R. Nevanlinna sense and in the V. P. Petrenko sense. 2 (1990) (0)
Exceptional values in the R. Nevanlinna sense and in the V. P. Petrenko sense. 1 (1990) (0)
Entire, meromorphic and subharmonic functions (1984) (0)
On a conjecture of Danikas and Ruscheweyh (1999) (0)
EXCEPTIONAL VALUES IN THE R. NEVANLINNA SENSE AND IN THE V. P. PETRENKO SENSE. i A. A. Gol'dberg, A. E. Eremenko, and M. L. Sodin (2004) (0)
C V ] 3 J an 2 01 8 Radially distributed values and normal families (2018) (0)
An estimate of density of zeros (2008) (0)
Non-Algebraic Quadrature Domains (2012) (0)
Equilibrium points of Newtonian potentials (2008) (0)
Tangencies between holomorphic maps and holomorphic laminations (2008) (0)
On the spherical derivative of a rational function (2014) (0)
D S ] 1 3 O ct 2 00 8 Rational maps with real multipliers (2008) (0)
Possible shapes of spherical quadrilaterals (2014) (0)
Title Meromorphic solutions of higher order BriotBouquet differential equations (2008) (0)
Title Meromorphic solutions of higher order BriotBouquet differential equations (2008) (0)
Stability in the Marcinkiewicz theorem (2021) (0)
Some constants coming from the work of (0)
Zeros and coefficients (2022) (0)
Anatolii Asirovich Gol'dberg (on his sixtieth birthday) (1990) (0)
Wandering domains of entire functions (2015) (0)
Spherical Rectangles (2016) (0)
Quasi-exactly solvable quartic : real QES locus (2011) (0)

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