Explicit bounds for a Gaussian decomposition Lemma of Sellke

Tobias Schmidt

Statistics & Probability Letters, 2025, vol. 219, issue C

Abstract: In Sellke (2024) 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.

Keywords: Gaussian measures; Measure decomposition (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2024.110342

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