Cattiaux, Patrick; Guillin, Arnaud; Wu, Li Ming Poincaré and logarithmic Sobolev inequalities for nearly radial measures. (English) Zbl 1506.26015 Acta Math. Sin., Engl. Ser. 38, No. 8, 1377-1398 (2022). MSC: 26D10 47D07 60B05 60E15 PDFBibTeX XMLCite \textit{P. Cattiaux} et al., Acta Math. Sin., Engl. Ser. 38, No. 8, 1377--1398 (2022; Zbl 1506.26015) Full Text: DOI arXiv
Barthe, Franck; Strzelecki, Michał Functional inequalities for two-level concentration. (English) Zbl 1485.60020 Potential Anal. 56, No. 4, 669-696 (2022). MSC: 60E15 26D10 PDFBibTeX XMLCite \textit{F. Barthe} and \textit{M. Strzelecki}, Potential Anal. 56, No. 4, 669--696 (2022; Zbl 1485.60020) Full Text: DOI
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. The Poisson equation and estimates for distances between stationary distributions of diffusions. (English. Russian original) Zbl 1406.35408 J. Math. Sci., New York 232, No. 3, 254-282 (2018); translation from Probl. Mat. Anal. 92, No. 3, 45-68 (2018). MSC: 35Q84 35J62 60J60 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., J. Math. Sci., New York 232, No. 3, 254--282 (2018; Zbl 1406.35408); translation from Probl. Mat. Anal. 92, No. 3, 45--68 (2018) Full Text: DOI
Fontbona, Joaquin; Gozlan, Nathael; Jabir, Jean-François A variational approach to some transport inequalities. (English. French summary) Zbl 1382.60037 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 1719-1746 (2017). MSC: 60E15 26D10 58E99 PDFBibTeX XMLCite \textit{J. Fontbona} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 1719--1746 (2017; Zbl 1382.60037) Full Text: DOI arXiv Euclid
Chen, Xin; Wang, Jian Weighted Poincaré inequalities for non-local Dirichlet forms. (English) Zbl 1418.60038 J. Theor. Probab. 30, No. 2, 452-489 (2017). MSC: 60G51 60G52 60J25 60J75 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J. Wang}, J. Theor. Probab. 30, No. 2, 452--489 (2017; Zbl 1418.60038) Full Text: DOI arXiv
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. (English) Zbl 1345.35051 J. Funct. Anal. 271, No. 5, 1262-1300 (2016). Reviewer: Stefanie Sonner (Graz) MSC: 35K15 60J60 35Q84 35K55 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., J. Funct. Anal. 271, No. 5, 1262--1300 (2016; Zbl 1345.35051) Full Text: DOI
Kang, Cholryong; Ri, Songil Orlicz type inequalities with powers. (English) Zbl 1341.58016 Int. J. Math. 26, No. 13, Article ID 1550111, 15 p. (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J32 60J60 PDFBibTeX XMLCite \textit{C. Kang} and \textit{S. Ri}, Int. J. Math. 26, No. 13, Article ID 1550111, 15 p. (2015; Zbl 1341.58016) Full Text: DOI
Milman, Emanuel Properties of isoperimetric, functional and transport-entropy inequalities via concentration. (English) Zbl 1239.60012 Probab. Theory Relat. Fields 152, No. 3-4, 475-507 (2012). Reviewer: Gerald A. Heuer (Nye) MSC: 60E15 46G12 PDFBibTeX XMLCite \textit{E. Milman}, Probab. Theory Relat. Fields 152, No. 3--4, 475--507 (2012; Zbl 1239.60012) Full Text: DOI arXiv
Shao, Jinghai Transportation cost inequalities for Wasserstein diffusions. (English) Zbl 1221.60118 Bull. Sci. Math. 135, No. 4, 383-394 (2011). MSC: 60J68 60J35 28A33 58J65 47D07 PDFBibTeX XMLCite \textit{J. Shao}, Bull. Sci. Math. 135, No. 4, 383--394 (2011; Zbl 1221.60118) Full Text: DOI
Roberto, Cyril Slow decay of Gibbs measures with heavy tails. (English) Zbl 1208.60103 Probab. Theory Relat. Fields 148, No. 1-2, 247-268 (2010). Reviewer: Werner Linde (Jena) MSC: 60K35 82C22 26D10 47D07 PDFBibTeX XMLCite \textit{C. Roberto}, Probab. Theory Relat. Fields 148, No. 1--2, 247--268 (2010; Zbl 1208.60103) Full Text: DOI arXiv
Shao, Jinghai Modified logarithmic Sobolev inequalities and transportation cost inequalities in \(\mathbb R^{n}\). (English) Zbl 1184.60006 Potential Anal. 31, No. 2, 183-202 (2009). Reviewer: B. G. Pachpatte (Aurangabad) MSC: 60E15 26D15 60J60 PDFBibTeX XMLCite \textit{J. Shao}, Potential Anal. 31, No. 2, 183--202 (2009; Zbl 1184.60006) Full Text: DOI