{"main_file_link":[{"url":"10.48550/arXiv.2303.12926","open_access":"1"}],"publisher":"Elsevier","article_number":"110562","year":"2024","department":[{"_id":"JaMa"}],"article_processing_charge":"No","date_created":"2024-07-21T22:01:00Z","corr_author":"1","external_id":{"arxiv":["2303.12926"]},"publication_status":"epub_ahead","citation":{"mla":"Brigati, Giovanni, et al. “Stability for the Logarithmic Sobolev Inequality.” <i>Journal of Functional Analysis</i>, vol. 287, no. 8, 110562, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">10.1016/j.jfa.2024.110562</a>.","short":"G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287 (2024).","ieee":"G. Brigati, J. Dolbeault, and N. Simonov, “Stability for the logarithmic Sobolev inequality,” <i>Journal of Functional Analysis</i>, vol. 287, no. 8. Elsevier, 2024.","ama":"Brigati G, Dolbeault J, Simonov N. Stability for the logarithmic Sobolev inequality. <i>Journal of Functional Analysis</i>. 2024;287(8). doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">10.1016/j.jfa.2024.110562</a>","apa":"Brigati, G., Dolbeault, J., &#38; Simonov, N. (2024). Stability for the logarithmic Sobolev inequality. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">https://doi.org/10.1016/j.jfa.2024.110562</a>","chicago":"Brigati, Giovanni, Jean Dolbeault, and Nikita Simonov. “Stability for the Logarithmic Sobolev Inequality.” <i>Journal of Functional Analysis</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">https://doi.org/10.1016/j.jfa.2024.110562</a>.","ista":"Brigati G, Dolbeault J, Simonov N. 2024. Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. 287(8), 110562."},"oa":1,"abstract":[{"text":"This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.\r\n\r\n","lang":"eng"}],"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"language":[{"iso":"eng"}],"author":[{"full_name":"Brigati, Giovanni","last_name":"Brigati","first_name":"Giovanni","id":"63ff57e8-1fbb-11ee-88f2-f558ffc59cf1"},{"full_name":"Dolbeault, Jean","first_name":"Jean","last_name":"Dolbeault"},{"full_name":"Simonov, Nikita","first_name":"Nikita","last_name":"Simonov"}],"day":"15","issue":"8","quality_controlled":"1","date_published":"2024-07-15T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1016/j.jfa.2024.110562","intvolume":"       287","acknowledgement":"The authors thank Max Fathi and Pierre Cardaliaguet for fruitful discussions and Emanuel Indrei for stimulating interactions. They also thank an anonymous referee for useful comments and suggestions which have led to an improvement of the manuscript. They also want to express their gratitude to the managing editor, L. Gross, for his encouragements and questions. G.B. has been funded by the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No 754362. This work has been (partially) supported by the Project Conviviality ANR-23-CE40-0003 of the French National Research Agency.","publication":"Journal of Functional Analysis","scopus_import":"1","title":"Stability for the logarithmic Sobolev inequality","article_type":"original","date_updated":"2024-07-22T07:24:57Z","type":"journal_article","status":"public","month":"07","oa_version":"Preprint","_id":"17277","volume":287}