Rigid characterizations of probability measures through independence, with applications
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910362034503680 |
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| author | Courtade, Thomas A. |
| author_facet | Courtade, Thomas A. |
| contents | Three equivalent characterizations of probability measures through independence criteria are given. These characterizations lead to a family of Brascamp--Lieb-type inequalities for relative entropy, determine equilibrium states and sharp rates of convergence for certain linear Boltzmann-type dynamics, and unify an assortment of $L^2$ inequalities in probability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigid characterizations of probability measures through independence, with applications Courtade, Thomas A. Probability Information Theory Three equivalent characterizations of probability measures through independence criteria are given. These characterizations lead to a family of Brascamp--Lieb-type inequalities for relative entropy, determine equilibrium states and sharp rates of convergence for certain linear Boltzmann-type dynamics, and unify an assortment of $L^2$ inequalities in probability. |
| title | Rigid characterizations of probability measures through independence, with applications |
| topic | Probability Information Theory |
| url | https://arxiv.org/abs/2403.06615 |