Cattiaux, Patrick; Guillin, Arnaud Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. (English) Zbl 1359.39015 J. Funct. Anal. 272, No. 6, 2361-2391 (2017). MSC: 39B62 47D07 60G10 60J60 PDFBibTeX XMLCite \textit{P. Cattiaux} and \textit{A. Guillin}, J. Funct. Anal. 272, No. 6, 2361--2391 (2017; Zbl 1359.39015) Full Text: DOI arXiv
Bolley, François; Guillin, Arnaud; Malrieu, Florent Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. (English) Zbl 1201.82029 ESAIM, Math. Model. Numer. Anal. 44, No. 5, 867-884 (2010). Reviewer: David Jou (Bellaterra) MSC: 82C22 65C35 60E15 35K55 26D10 65C05 82C31 PDFBibTeX XMLCite \textit{F. Bolley} et al., ESAIM, Math. Model. Numer. Anal. 44, No. 5, 867--884 (2010; Zbl 1201.82029) Full Text: DOI arXiv EuDML
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. (English) Zbl 1210.60024 Probab. Theory Relat. Fields 148, No. 1-2, 285-304 (2010). Reviewer: Wilfried Hazod (Dortmund) MSC: 60E15 60G10 47D07 26D10 PDFBibTeX XMLCite \textit{P. Cattiaux} et al., Probab. Theory Relat. Fields 148, No. 1--2, 285--304 (2010; Zbl 1210.60024) Full Text: DOI arXiv
Guillin, Arnaud; Léonard, Christian; Wu, Liming; Yao, Nian Transportation-information inequalities for Markov processes. (English) Zbl 1169.60304 Probab. Theory Relat. Fields 144, No. 3-4, 669-695 (2009). MSC: 60E15 26D10 47D06 60F10 60J25 60J60 PDFBibTeX XMLCite \textit{A. Guillin} et al., Probab. Theory Relat. Fields 144, No. 3--4, 669--695 (2009; Zbl 1169.60304) Full Text: DOI arXiv
Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent Modified logarithmic Sobolev inequalities in null curvature. (English) Zbl 1123.26022 Rev. Mat. Iberoam. 23, No. 1, 235-258 (2007). Reviewer: Zsolt Páles (Debrecen) MSC: 26D99 60E15 39B72 PDFBibTeX XMLCite \textit{I. Gentil} et al., Rev. Mat. Iberoam. 23, No. 1, 235--258 (2007; Zbl 1123.26022) Full Text: DOI arXiv EuDML
Bolley, François; Guillin, Arnaud; Villani, Cédric Quantitative concentration inequalities for empirical measures on non-compact spaces. (English) Zbl 1113.60093 Probab. Theory Relat. Fields 137, No. 3-4, 541-593 (2007). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K35 60H15 PDFBibTeX XMLCite \textit{F. Bolley} et al., Probab. Theory Relat. Fields 137, No. 3--4, 541--593 (2007; Zbl 1113.60093) Full Text: DOI arXiv
Cattiaux, Patrick; Guillin, Arnaud On quadratic transportation cost inequalities. (English) Zbl 1118.58017 J. Math. Pures Appl. (9) 86, No. 4, 342-361 (2006). Reviewer: René L. Schilling (Dresden) MSC: 58J65 47D07 60E15 60G10 PDFBibTeX XMLCite \textit{P. Cattiaux} and \textit{A. Guillin}, J. Math. Pures Appl. (9) 86, No. 4, 342--361 (2006; Zbl 1118.58017) Full Text: DOI
Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent Modified logarithmic Sobolev inequalities and transportation inequalities. (English) Zbl 1080.26010 Probab. Theory Relat. Fields 133, No. 3, 409-436 (2005). MSC: 26D10 49Q20 PDFBibTeX XMLCite \textit{I. Gentil} et al., Probab. Theory Relat. Fields 133, No. 3, 409--436 (2005; Zbl 1080.26010) Full Text: DOI arXiv
Djellout, H.; Guillin, A.; Wu, L. Transportation cost-information inequalities and applications to random dynamical systems and diffusions. (English) Zbl 1061.60011 Ann. Probab. 32, No. 3B, 2702-2732 (2004). Reviewer: Wilfried Hazod (Dortmund) MSC: 60E15 28A35 28C20 60G15 60H10 60J60 PDFBibTeX XMLCite \textit{H. Djellout} et al., Ann. Probab. 32, No. 3B, 2702--2732 (2004; Zbl 1061.60011) Full Text: DOI arXiv