Toward a Classification of Stochastically Stable Quenched Measures

Details Toward a Classification of Stochastically Stable Quenched Measures Toward a Classification of Stochastically Stable Quenched Measures

2002-05-27

arxiv.org/abs/math-ph/0205041v1

Physics

Mathematical Physics

Scientific paper

In this short note we study the fourth order consequences of the stochastic
stability property for mean field spin glass models introduced in previous
paper by Aizenman and Contucci. We show that due to a remarkable cancellation
mechanism it reduces to the well known second order version as predicted by
Parisi's replica-equivalent ansatz.

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