## NIKOLAI G. MAKAROV

Professor of Mathematics

B.A., Leningrad University, 1982

Ph.D., LOMI Mathematics Institute (Leningrad), 1986

**Research Interests**

Harmonic analysis

**Selected Publications**

*Fine structure of harmonic measure*, St. Petersburg Math. J. **10**
(1999), 217--268

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file of this paper.
- (with S. Smirnov)
*On thermodynamics of rational maps, I. Negative
spectrum*, Comm. Math. Phys. **211**
(2000), 705-743

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- (with L. Carleson)
*Aggregation in the plane and Loewner's equation*, Comm. Math.
Phys. **216** (2001), 583-607

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file of this paper.
- (with L. Carleson) Laplacian path models, J. Analyse Math.
**87**
(2002), 103-150

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- (with S. Smirnov)
*On thermodynamics of rational maps, II. Non-recurrent
maps*, J. London Math. Soc. **67 **(2003), 417-432

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- (with I. Binder and S. Smirnov)
*Harmonic measure and polynomial Julia sets*,
Duke Math. J. **117** (2003), 343-365

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file of this paper.
- (with A. Poltoratski)
*Meromorphic inner functions, Toeplitz kernels,
and the uncertainty principle*, preprint

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#### Course(s) Taught

**Winter 2009/10 - **Math 116b Analysis II: Quasiconformal maps and their applications, Math 290 Reading, Math 390 Research
**Fall 2009/10** - Math 2a: Differential Equations, Probability and Statistics, Math 193a: Kreen de Branges spaces and classical problems, Math 290 Reading, Math 390 Research
**Spring 2008/09** - Math 290 Reading, Math 390 Research
**Winter 2008/09** - Math 147b, Dynamical Systems, Math 290 Reading, Math 290 Research
**Fall 2008/09 **- Math 2a Differencial Equations, Probability and Statistics, Math 147a Dynamical Systems, Math 290 Reading, Math 390 Research
**Spring 2007/08** - Math 290 Reading, Math 390 Research
**Winter 2007/08** - Math 111b Analysis II, Math 290 Reading, Math 390 Research
**Fall 2007/08** - Math 2a Differential Equations, Probability and Statistics, Math 111a Analysis II, Math 290 Reading, Math 390 Research

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