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Explicit bounds for a Gaussian decomposition Lemma of Sellke

Probability 2024-02-26 v1

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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Cite

@article{arxiv.2402.15007,
  title  = {Explicit bounds for a Gaussian decomposition Lemma of Sellke},
  author = {Tobias Schmidt},
  journal= {arXiv preprint arXiv:2402.15007},
  year   = {2024}
}

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6 pages