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Nikolai Makarov

math.CVmath.MPmath-phmath.PRmath.DSmath.SPmath.APmath.CA

On Valency

published · living versions
W_pyn929bk·v1 · currentpublished
Coulomb gas ensembles and Laplacian growth
with Haakan Hedenmalm
1 version

Preprints & journals

27 papers in the corpus · 1994–2026
Problems in spectral analysis of canonical Hamiltonian systems2603.13586v1 · Nikolai Makarov, Alexei Poltoratski, Ashley Ran Zhang2026 · 0 citationsarXiv
Etudes in the inverse spectral problem, II2509.10699v1 · Nikolai Makarov, Alexei Poltoratski2025 · 0 citationsarXiv
Quadrature Domains and the Faber Transform2509.03777v3 · Andrew J. Graven, Nikolai G. Makarov2025 · 0 citationsarXiv
Etudes for the inverse spectral problem2204.08395v4 · Nikolai Makarov, Alexei Poltoratski2022 · 5 citationsarXiv
Pole dynamics and an integral of motion for multiple SLE(0)2011.05714v2 · Tom Alberts, Sung-Soo Byun, Nam-Gyu Kang et al.2020 · 5 citationsarXiv
Bers Slices in Families of Univalent Maps2007.02429v2 · Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee2020 · 7 citationsMathematische Zeitschrift, 300:2771-2808, 2022
Univalent Polynomials and Hubbard Trees1908.05813v2 · Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee2019 · 9 citationsTrans. Amer. Math. Soc. 374 (2021), 4839-4893
Schwarz reflections and anti-holomorphic correspondences1907.09107v3 · Seung-Yeop Lee, Mikhail Lyubich, Nikolai G. Makarov et al.2019 · 9 citationsAdvances in Mathematics, 385:107766, 2021
Schwarz reflections and the Tricorn1812.01573v3 · Seung-Yeop Lee, Mikhail Lyubich, Nikolai G. Makarov et al.2018 · 9 citationsAnn. Inst. Fourier (Grenoble), 75:1987-2100, 2025
Dynamics of Schwarz reflections: the mating phenomena1811.04979v3 · Seung-Yeop Lee, Mikhail Lyubich, Nikolai G. Makarov et al.2018 · 14 citationsAnn. Sci. {\'E}c. Norm. Sup{\'e}r. (4), 56:1825-1881, 2023
Calculus of conformal fields on a compact Riemann surface1708.07361v2 · Nam-Gyu Kang, Nikolai G. Makarov2017 · 7 citationsarXiv
Two-Spectra Theorem with Uncertainty1612.05165v6 · Nikolai Makarov, Alexei Poltoratski2016 · 17 citationsarXiv
Scaling limits of random normal matrix processes at singular boundary points1510.08723v3 · Yacin Ameur, Nam-Gyu Kang, Nikolai Makarov et al.2015 · 33 citationsarXiv
Sharpness of connectivity bounds for quadrature domains1411.3415v1 · Seung-Yeop Lee, Nikolai Makarov2014 · 6 citationsarXiv
Rescaling Ward identities in the random normal matrix model1410.4132v4 · Yacin Ameur, Nam-Gyu Kang, Nikolai Makarov2014 · 44 citationsarXiv
Topology of quadrature domains1307.0487v2 · Seung-Yeop Lee, Nikolai Makarov2013 · 58 citationsarXiv
Radial SLE martingale-observables1208.2789v2 · Nam-Gyu Kang, Nikolai Makarov2012 · 5 citationsarXiv
Random normal matrices and Ward identities1109.5941v3 · Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov2011 · 88 citationsAnn. Probab. 43 (2015), 1157-1201on Valency
Coulomb gas ensembles and Laplacian growth1106.2971v3 · Haakan Hedenmalm, Nikolai Makarov2011 · 91 citationsProc. London Math. Soc. (3) 106 (2013), 859-907on Valency
Gaussian free field and conformal field theory1101.1024v3 · Nam-Gyu Kang, Nikolai Makarov2011 · 32 citationsarXiv
Off-critical lattice models and massive SLEs0909.5377v1 · Nikolai Makarov, Stanislav Smirnov2009 · 34 citationsarXiv
Berezin transform in polynomial Bergman spaces0807.0369v4 · Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov2008 · 39 citationsarXiv
Fluctuations of eigenvalues of random normal matrices0807.0375v4 · Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov2008 · 149 citationsDuke Math. J. 159, no. 1 (2011), 31-81on Valency
Beurling-Malliavin theory for Toeplitz kernelsmath/0702497v1 · N. Makarov, A. Poltoratski2007 · 52 citationsarXiv
Quantum Hele-Shaw flowmath/0411437v1 · Haakan Hedenmalm, Nikolai Makarov2004 · 23 citationsPublished as "Coulomb gas ensembles and Laplacian growth". Proc. London Math. Soc. (3) 106 (2013), 859-907
Singular continuous spectrum is genericmath/9410217v1 · Rafael del Rio, Svetlana Ya. Jitomirskaya, Nikolai G. Makarov et al.1994 · 42 citationsBull. Amer. Math. Soc. (N.S.) 31 (1994) 208-212
Career total: 63 works. 27 are in this corpus.

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