High-Precision Estimation of Random Walks in Small Space

High-Precision Estimation of Random Walks in Small Space

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Intro

1 of 12

1 of 12

Intro

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High-Precision Estimation of Random Walks in Small Space

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  1. 1 Intro
  2. 2 RL vs. L via Pseudorandom Generators
  3. 3 RL vs. L via Graph Algorithms
  4. 4 Directed Graphs
  5. 5 Directed Laplacians Def: The Laplacian of G is L=1-W.
  6. 6 Solving Laplacian systems Lx = b
  7. 7 Application: Deterministic Algorithms for ERWP
  8. 8 ERWP via Laplacians: the Eulerian case
  9. 9 ERWP Algorithm Outline
  10. 10 Unit Circle Approximation Definition of Approximation for Laplacian Matrices
  11. 11 Derandomization via Laplacian solvers
  12. 12 Open problems and future directions

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