Simons- Program: Renormalization and universality in Conformal Geometry, Dynamics, Random Processes, and Field Theory

  1. Title:
    Prevalent divergence of Birkhoff Normal Forms

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  2. Title:
    Random iteration on complex surfaces

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  3. Title:
    From curves to currents

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    Golden mean renormalization for the almost Mathieu operator and related skew products (partly in collaboration with Sasa Kocic).

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  5. Title:
    Dynamics of Henon maps with zero entropy

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  6. Title:
    Sphere Packings, Bugs, and Arithmetic

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  7. Title:
    A new equidistribution theorem on parameter space with applications to statistical physics

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    Bipartite dimer model: Gaussian Free Field on Lorentz-minimal surfaces

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  9. Title:
    Spectral analysis on self-similar graphs and fractals

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  10. Title:
    Ergodicity for Langevin dynamics with singular potentials

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  11. Title:
    TBA

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  12. Title:
    Hoelder regularity for the spectrum of translation flows

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  13. Title:
    Spectrum, Renormalization, and 2D Rational Dynamics associated with certain Self-Similar Groups

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  14. Title:
    Quasisymmetric Koebe uniformization of slit domains and carpets

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  15. Title:
    Projective Spectrum, Self-similarity, and Complex Dynamics

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  16. Title:
    Renormalization approach to neutral dynamics

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  17. Title:
    Mini-course. Mathematical aspects of turbulence: Part II

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  18. Title:
    Mini-course. Mathematical aspects of turbulence: Part I

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  19. Title:
    On the asymptotic distortion of diffeomorphisms of 1-manifolds

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  20. Title:
    Mini-course. Mathematical aspects of turbulence: Part IV

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