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

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

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  2. Title:
    Modularity and renormalization: some old and new results on Brjuno functions

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  3. Title:
    Renormalization and rigidity of circle maps with a singularity and the spectrum of the Schroedinger operators over them

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  4. Title:
    On obstacles for C^2 rigidity for circle maps with singularities. On obstacles for C^2 rigidity for circle maps with singularities

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  5. Title:
    Mini-course. Self-similarity of groups and random walks Part 2

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  6. Title:
    Mini-course. Self-similarity of groups and random walks

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  7. Title:
    Mini-course. Self-similarity of groups and random walks: Part IV

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  8. Title:
    Mini-course. Self-similarity of groups and random walks: Part III

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  9. Title:
    Statistical conservation laws, scaling and renormalisation in the Kraichnan model of passive advection

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  10. Title:
    Rigidity and Renormalization of multicritical circle maps

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  11. Title:
    Convergence (and divergence) of renormalization in higher genus

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  12. Title:
    Coexistence phenomena in two-dimensional maps

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  13. Title:
    Local connectivity of the Julia sets of holomorphic maps with bounded type Siegel disks

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