MSRI- Probabilistic Reasoning in Quantitative Geometry

  1. Title:
    The effect of dimensionality on the stability in the Brunn-Minkowski inequality: A blessing or a curse? A joint work with Bo'az Klartag

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  2. Title:
    Near-Linear Lower Bound for Dimension Reduction in L1

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  3. Title:
    Homomorphisms from Random Walks

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  4. Title:
    Random Geometric Constructions for the Sharp Estimates of Singular Operators

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  5. Title:
    Homogeneous Finite-Simensional Banach Spaces and Random Projections of Convex Bodies

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  6. Title:
    Probabilistic Tools in Nonlinear Dvoretzky Theory

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  7. Title:
    Entropies for Covers of Compact Manifolds

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  8. Title:
    Optimal Gaussian Partitions

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  9. Title:
    Calculus for Nonlinear Spectral Gaps

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  10. Title:
    Random Cayley Graphs and Expanders for Finite Simple Groups

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  11. Title:
    Speed exponents for random walks on groups

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  12. Title:
    Near-equivalence of the Restricted Isometry Property and the Johnson-Lindenstrauss Lemma

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  13. Title:
    New Applications of Rearrangement Inequalities

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  14. Title:
    Random Sequences of Simple Rearrangements

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  15. Title:
    Random Matrices, Exact Operator Spaces and Non-commutative Grothendieck Theorem

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  16. Title:
    Random Cubes in a Metric Space with Application to Singular Integrals with Non-doubling Measures

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  17. Title:
    Fine Estimates in Dvoretzky\'s Theorem

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  18. Title:
    Markov Type and Embedding Obstructions

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  19. Title:
    Uniform Isoperimetric Constants via Random Forests

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  20. Title:
    Gaussian Surface Area and Noise Sensitivity

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