On Chen’s Recent Breakthrough on the Kannan-Lovasz-Simonovits Conjecture and Bourgain's Slicing Problem - Part III

On Chen’s Recent Breakthrough on the Kannan-Lovasz-Simonovits Conjecture and Bourgain's Slicing Problem - Part III

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Introduction

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1 of 20

Introduction

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On Chen’s Recent Breakthrough on the Kannan-Lovasz-Simonovits Conjecture and Bourgain's Slicing Problem - Part III

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  1. 1 Introduction
  2. 2 Properties of the process
  3. 3 Martingale
  4. 4 A small calculation
  5. 5 The upper bound
  6. 6 The history
  7. 7 The operator norm
  8. 8 Tensors
  9. 9 Covariance matrix
  10. 10 Quadratic variation
  11. 11 Other uses of stochastic localization
  12. 12 Eigenvalues as functions
  13. 13 Continuous functions
  14. 14 General lemma
  15. 15 Repulsion
  16. 16 St Potential
  17. 17 Dyson Brownian Motion
  18. 18 Lagrange Theorem
  19. 19 Final conclusion
  20. 20 Poincare inequality

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