A simple invariance theorem

Sourav Chatterjee

A simple invariance theorem

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arxiv math/0508213 v1 pith:JZWBPAK6 submitted 2005-08-12 math.PR math-phmath.MP

Sourav Chatterjee This is my paper · ORCID

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keywords invariancerandomsimpletheoremapplyargumentcentralextension

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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.

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