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Universality Behviour of Solutions of Hamiltonian PDEs in Critical Regimes

Random Matrix Theory and Its Applications I September 13, 2010 - September 17, 2010

September 17, 2010 (11:30 AM PDT - 12:10 PM PDT)
Speaker(s): Tamara Grava
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

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Abstract We study the solution of a class of Hamiltonian PDE near critical points and we show that the solution locally does not depend on the initial data and it is described by particular solutions of Painleve equations.
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