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4 votes
1 answer
273 views

Ergodicity of the Form Factor in Random Matrix Theory

This question is motivated by recent works in quantum gravity, particularly in the analysis of the Sachdev-Ye-Kitaev (SYK) model. The SYK model is a one-dimensional quantum mechanical model which, in ...
Anup Anand Singh's user avatar
2 votes
1 answer
115 views

stationary measure for linear cocycle(random transformation matrices)

Let $(M,\mathcal B, \mu)$ be a probability space which $M=\{A_{1},A_{2},...,A_{N}\}^{\mathbb{N}}$ ($A_{i} \in GL(d ,\mathbb{R})$) and $\mu=p^{\mathbb{N}}$. Let $F:M\times \mathbb R^d\to M\times \...
Michal's user avatar
  • 199
1 vote
1 answer
288 views

Microlocal proof of Wigner semicircle theorem?

Something I really enjoy about Tao's writing is that he proves the same theorem over and over. While I complain a bit sometimes about clarity, this is a heuristic that I very much believe in. This ...
john mangual's user avatar
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