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One cannot hear the winding number

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Publication:2478593
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DOI10.4171/JEMS/91zbMath1134.42301arXivmath/0612192OpenAlexW2073376308MaRDI QIDQ2478593

Gady Kozma, Jean Bourgain

Publication date: 28 March 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612192


zbMATH Keywords

Fourier coefficients, Pauli partners, random Fourier series


Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Degree, winding number (55M25) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Probabilistic methods for one variable harmonic analysis (42A61)


Related Items (6)

Some of my favorite open problems ⋮ Szegő's theorem and its probabilistic descendants ⋮ Winding numbers and Fourier series ⋮ Estimates for the topological degree and related topics ⋮ Geometric significance of Toeplitz kernels ⋮ Winding numbers and summation processes



Cites Work

  • A boundary value problem related to the Ginzburg-Landau model


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