Generalized Logarithmic Sobolev Inequality by the JKO Scheme
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912883746537472 |
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| author | Caillet, Thibault Coudreuse, Fanch |
| author_facet | Caillet, Thibault Coudreuse, Fanch |
| contents | Using a discrete Bakry-{É}mery method based on the JKO scheme, relying on the dissipation of entropy and Fisher information along a discrete flow, we establish new generalized logarithmic Sobolev inequality for log-concave measures of the form $e^{-V}$ under strict convexity assumptions on $V$ . We then show how this method recovers some well-known inequalities. This approach can be viewed as interpolating between the Bakry-{É}mery method and optimal transport techniques based on geodesic convexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16620 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized Logarithmic Sobolev Inequality by the JKO Scheme Caillet, Thibault Coudreuse, Fanch Analysis of PDEs Optimization and Control Using a discrete Bakry-{É}mery method based on the JKO scheme, relying on the dissipation of entropy and Fisher information along a discrete flow, we establish new generalized logarithmic Sobolev inequality for log-concave measures of the form $e^{-V}$ under strict convexity assumptions on $V$ . We then show how this method recovers some well-known inequalities. This approach can be viewed as interpolating between the Bakry-{É}mery method and optimal transport techniques based on geodesic convexity. |
| title | Generalized Logarithmic Sobolev Inequality by the JKO Scheme |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2601.16620 |