A simple invariance theorem

Abstract

We present a simple extension of Lindeberg's argument for the Central Limit Theorem to get a general invariance result. We apply the technique to prove results from random matrix theory, spin glasses, and maxima of random fields.

References in corpus (4)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• On Asymptotic Properties of Large Random Matrices with Independent Entries
• Noise stability of functions with low influences: invariance and optimality
• Universality In Sherrington-Kirkpatrick's Spin Glass Model

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