Abstract
In this work we study the concentration properties of log-concave measures which potential is curved only on a subspace of directions. Proofs use an adapted version of the stochastic localization process.
Dans cet article, nous étudions les propriétés de concentration des mesures log-concaves dont le potentiel est courbé sur un sous-espace de directions. L’étude se fait via une version adaptée de la localisation stochastique.
Acknowledgements
The author would like to thank the anonymous reviewer for their careful reading of the manuscript as well as their suggestions on presentation and writing.
Citation
Pierre Bizeul. "On measures strongly log-concave on a subspace." Ann. Inst. H. Poincaré Probab. Statist. 60 (2) 1090 - 1100, May 2024. https://doi.org/10.1214/23-AIHP1363
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