Nikolai Georgievich Makarov

Nikolai Georgievich Makarov's AcademicInfluence.com Rankings

Mathematics

#2255

World Rank

#3516

Historical Rank

Complex Analysis

World Rank

#15

Historical Rank

Algebraic Geometry

#238

World Rank

#249

Historical Rank

Measure Theory

#4395

World Rank

#5166

Historical Rank

mathematics Degrees

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Mathematics

Nikolai Georgievich Makarov's Degrees

PhD Mathematics Moscow State University

Why Is Nikolai Georgievich Makarov Influential?

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According to Wikipedia, Nikolai Georgievich Makarov is a Russian mathematician. He is known for his work in complex analysis and its applications to dynamical systems, probability theory and mathematical physics. He is currently the Richard Merkin Distinguished Professor of Mathematics at Caltech, where he has been teaching since 1991.

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Nikolai Georgievich Makarov'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

On the Distortion of Boundary Sets Under Conformal Mappings (1985) (249)
Fluctuations of eigenvalues of random normal matrices (2008) (146)
Coulomb gas ensembles and Laplacian growth (2011) (96)
FINE STRUCTURE OF HARMONIC MEASURE (1998) (94)
Operators with singular continuous spectrum: II. Rank one operators (1994) (76)
Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle (2005) (74)
Random normal matrices and Ward identities (2011) (73)
Gaussian free field and conformal field theory (2011) (62)
Density properties of harmonic measure (1995) (59)
Aggregation in the Plane and Loewner's Equation (2001) (56)
Some results connected with Brennan's conjecture (1994) (55)
On Thermodynamics of Rational Maps. II: Non‐Recurrent Maps (2003) (52)
OPERATORS WITH SINGULAR CONTINUOUS SPECTRUM : II (2002) (52)
Laplacian path models (2002) (50)
Topology of quadrature domains (2013) (49)
Rescaling Ward Identities in the Random Normal Matrix Model (2014) (47)
Singular continuous spectrum is generic (1994) (44)
Beurling-Malliavin theory for Toeplitz kernels (2007) (43)
Off-critical lattice models and massive SLEs (2009) (41)
Berezin transform in polynomial bergman spaces (2008) (39)
A model for noncontractions and stability of the continuous spectrum (1981) (36)
Conformal mapping and Hausdorff measures (1987) (34)
On “Thermodynamics” of Rational Maps I. Negative Spectrum (2000) (33)
Quantum Hele-Shaw flow (2004) (31)
Scaling limits of random normal matrix processes at singular boundary points (2015) (29)
On “Thermodynamics” of Rational MapsI.¶Negative Spectrum (2000) (28)
Harmonic measure and polynomial Julia sets (2003) (26)
Phase transition in subhyperbolic Julia sets (1996) (21)
ON COEFFICIENTS, BOUNDARY SIZE AND H ¨ OLDER DOMAINS (1997) (20)
SMOOTH MEASURES AND THE LAW OF THE ITERATED LOGARITHM (1990) (20)
A note on integral means of the derivative in conformal mapping (1986) (19)
Dynamics of Schwarz reflections: the mating phenomena (2018) (13)
Two-spectra theorem with uncertainty (2016) (12)
Sharpness of connectivity bounds for quadrature domains (2014) (12)
Schwarz reflections and the Tricorn (2018) (11)
INVARIANT SUBSPACES OF THE SPACE $ C^\infty$ (1984) (11)
Radial SLE martingale-observables (2012) (9)
Schwarz reflections and anti-holomorphic correspondences (2019) (8)
Calculus of conformal fields on a compact Riemann surface (2017) (8)
Bers slices in families of univalent maps (2020) (8)
Quasisimilarity of model contractions with unequal defects (1988) (7)
Univalent polynomials and Hubbard trees (2019) (7)
Pole dynamics and an integral of motion for multiple SLE(0) (2020) (5)
Size of the set of singular points on the boundary of a non-Smirnov domain (1993) (5)
Conformal field theory on the Riemann sphere and its boundary version for SLE (2021) (4)
ON A CLASS OF EXCEPTIONAL SETS IN THE THEORY OF CONFORMAL MAPPINGS (1991) (4)
PERTURBATIONS OF NORMAL OPERATORS AND STABILITY OF THE CONTINUOUS SPECTRUM (1987) (3)
Unitary point spectrum of almost unitary operators (1984) (3)
Nine Mathematical Challenges: An Elucidation (2021) (2)
Mathematical model of jet control of adaptability of mine turbomachines (2020) (1)
Fluctuations of Eigenvalues of Random Normal Matrices and Consider the following Probability Measure on C (1)
Etudes for the inverse spectral problem (2022) (1)
Sets of simple invariance (1987) (1)
OF A NON-SMIRNOV DOMAIN (1989) (0)
Uniqueness, moments, normality (1984) (0)
Taxation of the organizations and natural persons (2014) (0)
Rescaling Ward Identities in the Random Normal Matrix Model (2018) (0)
Thomas H. Wolff (1954–2000), Volume 48, Number 5 (2001) (0)
Aerodynamic adaptivity criterion in the production methodology of the energy-efficient mine turbomachines (2020) (0)
Stability of the essential spectrum of operators close to a unitary operator (1982) (0)
Turbomachine criteria for similarity of natural size proportionality (2020) (0)

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Nikolai Georgievich Makarov's Academic­Influence.com Rankings

Nikolai Georgievich Makarov's Degrees

Why Is Nikolai Georgievich Makarov Influential?

Nikolai Georgievich Makarov's Published Works

Published Works

Other Resources About Nikolai Georgievich Makarov

What Schools Are Affiliated With Nikolai Georgievich Makarov?

Nikolai Georgievich Makarov's AcademicInfluence.com Rankings