Explicit bounds for a Gaussian decomposition Lemma of Sellke

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.

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Publication Details

Journal
Statistics & Probability Letters
Published
2024-12-31
DOI
https://doi.org/10.1016/j.spl.2024.110342
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Explicit bounds for a Gaussian decomposition Lemma of Sellke

Tobias Schmidt
Statistics & Probability Letters
Advanced Harmonic Analysis Research
article

Explicit bounds for a Gaussian decomposition Lemma of Sellke

Tobias Schmidt
article en

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.

Statistics & Probability LettersVol. 219
Technische Universität Darmstadt (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 60%
Advanced Harmonic Analysis Research
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Explicit bounds for a Gaussian decomposition Lemma of Sellke — Tobias Schmidt · Statistics & Probability Letters (2024) | TGRS Research Map | TGRS