Explicit bounds for a Gaussian decomposition Lemma of Sellke

Published 22 Feb 2024 in math.PR | (2402.15007v1)

Abstract: In arXiv:2212.14023 a decomposition of Gaussian measures on finite-dimensional spaces was introduced, which turned out to be a central technical tool to improve currently known bounds on a long standing conjecture in statistical mechanics called the Polaron problem. This note slightly generalizes this decomposition and provides numerical values for all occurring constants.

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Tobias Schmidt

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