Stochastic proof of the sharp symmetrized Talagrand inequality
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910525230678016 |
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| author | Courtade, Thomas A. Fathi, Max Mikulincer, Dan |
| author_facet | Courtade, Thomas A. Fathi, Max Mikulincer, Dan |
| contents | We give a new proof of the sharp symmetrized form of Talagrand's transport-entropy inequality. Compared to stochastic proofs of other Gaussian functional inequalities, the new idea here is a certain coupling induced by time-reversed martingale representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09465 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic proof of the sharp symmetrized Talagrand inequality Courtade, Thomas A. Fathi, Max Mikulincer, Dan Probability Functional Analysis We give a new proof of the sharp symmetrized form of Talagrand's transport-entropy inequality. Compared to stochastic proofs of other Gaussian functional inequalities, the new idea here is a certain coupling induced by time-reversed martingale representations. |
| title | Stochastic proof of the sharp symmetrized Talagrand inequality |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/2407.09465 |