Stochastically Stable Quenched Measures
Alessandra Bianchi, Pierluigi Contucci, Andreas Knauf
TL;DR
This paper characterizes stochastically stable quenched measures using an infinite family of zero average polynomials in the covariance matrix, providing a mathematical framework for understanding their stability.
Contribution
It introduces a complete characterization of stochastic stability for quenched measures through polynomial conditions on the covariance matrix.
Findings
Stochastic stability is characterized by zero average polynomial conditions.
The characterization involves an infinite family of polynomials.
Provides a mathematical foundation for analyzing quenched measures.
Abstract
We analyze a class of stochastically stable quenched measures. We prove that stochastic stability is fully characterized by an infinite family of zero average polynomials in the covariance matrix entries.
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