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The asymptotic expansion of Tracy-Widom GUE law and symplectic invariants
asymptotic expansion of Tracy-Widom GUE law symplectic invariants
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2010/12/28
We establish the relation between two objects: an integrable system related to Painlev´e II equation, and the symplectic invariants of a certain plane curve TW. This curve describes the average...
Tracy-Widom GUE law and symplectic invariants
Tracy-Widom GUE law symplectic invariants
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2010/11/10
We establish the relation between two objects: an integrable system related to Painleve II equation, and the symplectic invariants of a certain plane curve \Sigma_{TW} describing the average eigenvalu...