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Explicit bounds for a Gaussian decomposition Lemma of Sellke

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  • Schmidt, Tobias

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.

Suggested Citation

  • Schmidt, Tobias, 2025. "Explicit bounds for a Gaussian decomposition Lemma of Sellke," Statistics & Probability Letters, Elsevier, vol. 219(C).
    • Handle: RePEc:eee:stapro:v:219:y:2025:i:c:s0167715224003110
    DOI: 10.1016/j.spl.2024.110342
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    Keywords

    Gaussian measures; Measure decomposition;

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