Ronen Eldan- Revealing the Simplicity of High-Dimensional Objects via Pathwise Analysis

Ronen Eldan- Revealing the Simplicity of High-Dimensional Objects via Pathwise Analysis

International Mathematical Union via YouTube Direct link

Intro

1 of 16

1 of 16

Intro

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Ronen Eldan- Revealing the Simplicity of High-Dimensional Objects via Pathwise Analysis

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  1. 1 Intro
  2. 2 Emergence of a simple structure in high-dimensional settings
  3. 3 Dimension-free concentration on Gaussian space
  4. 4 Gaussian-like behavior beyond the Gaussian measure
  5. 5 High dimensional convexity and the KLS conjecture
  6. 6 Pure state decompositions of interacting particle systems
  7. 7 Martingale techniques - a simple illustration
  8. 8 A Pathwise approach
  9. 9 Analysis of variance
  10. 10 Stochastic Localization (discrete version)
  11. 11 Basic properties of
  12. 12 Time-derivatives correspond to spatial moments
  13. 13 Emergence of a Gaussian
  14. 14 Collapsing into localized measures
  15. 15 Some applications
  16. 16 Application #4: Concentration on the discrete hypercube

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