Completed
Simplicial Complex from u
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Theory Seminar - Spectral Independence in High-Dimensional Expanders, Kuikui Liu
Automatically move to the next video in the Classroom when playback concludes
- 1 Intro
- 2 A Natural Algorithm
- 3 Spectral Independence (cont.)
- 4 Application: The Hardcore Model
- 5 Why care about the Hardcore Model?
- 6 A Physical Phase Transition
- 7 A Complexity Phase Transition
- 8 Outline
- 9 Simplicial Complex from u
- 10 X for the Hardcore Model
- 11 Markov Chain Decomposition
- 12 Proof Strategy
- 13 Garland's Method for Local Spectral Expansion
- 14 Weak Spatial Mixing
- 15 Spatial Mixing and Spectral Independence on zd
- 16 Rough Strategy
- 17 The Tree Recurrence
- 18 Bounding Each Vertex Separately
- 19 Induction on Levels
- 20 Open-Ended Problems
- 21 Open Problems for Hardcore Model
