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PreprintCC BY-NC-ND 4.0arXiv

Stability under mixtures of transportation inequalities and restricted log-Sobolev inequalities

  • Radosław Adamczak
  • Dominik Kutek
  • Michał Strzelecki
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Abstract

We prove results about stability under mixtures for transport--entropy inequalities and restricted functional inequalities of Poincaré and log-Sobolev type. We treat Talagrand inequalities of type T2 and T1 together with their generalizations, as well as weak transportation inequalities introduced by Gozlan et al. Our main results provide mild sufficient conditions under which a given inequality may be transferred from mixture components to the mixture itself.

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Cite

BibTeXRIS
BibTeX
@misc{adamczak2026stability,
  title = {{Stability under mixtures of transportation inequalities and restricted log-Sobolev inequalities}},
  author = {Radosław Adamczak and Dominik Kutek and Michał Strzelecki},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.28234},
  eprint = {2609.28234},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28234},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Stability under mixtures of transportation inequalities and restricted log-Sobolev inequalities
AU  - Radosław Adamczak
AU  - Dominik Kutek
AU  - Michał Strzelecki
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.28234
UR  - https://arxiv.org/abs/2609.28234
AB  - We prove results about stability under mixtures for transport--entropy inequalities and restricted functional inequalities of Poincaré and log-Sobolev type. We treat Talagrand inequalities of type T_2 and T_1 together with their generalizations, as well as weak transportation inequalities introduced by Gozlan et al. Our main results provide mild sufficient conditions under which a given inequality may be transferred from mixture components to the mixture itself.
ER  -