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Classroom Contents
Random Matrix Theory and its Applications - Lecture 4
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- 1 Recap - Rotationally invariant ensemble
- 2 1. Focus on Rotation Invariant Ensemble Gaussian Case
- 3 Joint Distribution - Gibbs -Boltzmann prob
- 4 Ising model
- 5 Distribution of the matrix entries
- 6 Exercise
- 7 Natural observables
- 8 2. n-point correlation function
- 9 3. Spacing distribution bet n neighbouring eigenvalues
- 10 Wigner surmise
- 11 4. Counting Statistics
- 12 For Gaussian ensembles
- 13 Extreme value statistics of correlated random variables
- 14 R. M. May Nature, 238, 413 1972 - "Will a large complex system be stable"?
- 15 Switch on pairwise interaction
- 16 Stable
