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Level Spacing Distribution Revisited - Theoretical Group Atomic ...

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Some applications of Tracy–Widom Law<br />

Combinatorics: length of the longest increasing permutation<br />

Baik, Deift, Johansson (1999)<br />

Statistics: largest eigenvalues of correlation matrices C = XX T<br />

Johnstone (2001)<br />

Growth processes: fluctuations around the limiting shape<br />

Johansson (2000)<br />

Superconductors: fluctuations of excitation gap in a quantum dot<br />

Vavilov, Brouer, Ambegaokar, Benakker (2001)<br />

Random Tilings & Aztec Diamond: fluctuations around<br />

the Arctic Circle Johansson (2002)<br />

K ˙Z (IF UJ/CFT PAN ) <strong>Level</strong> <strong>Spacing</strong> <strong>Distribution</strong> March 14, 2011 9 / 20

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