Lee, Junseo; Yeo, Hyeonjun; Jeong, Kabgyun Weighted \(p\)-Rényi entropy power inequality: information theory to quantum Shannon theory. (English) Zbl 07798701 Int. J. Theor. Phys. 62, No. 11, Paper No. 253, 9 p. (2023). MSC: 94A17 81P94 81P45 62B10 PDFBibTeX XMLCite \textit{J. Lee} et al., Int. J. Theor. Phys. 62, No. 11, Paper No. 253, 9 p. (2023; Zbl 07798701) Full Text: DOI arXiv
Gavalakis, Lampros; Kontoyiannis, Ioannis Information in probability: another information-theoretic proof of a finite de Finetti theorem. (English) Zbl 07773769 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 367-385 (2023). Reviewer: Yuehua Wu (Toronto) MSC: 94A17 94A15 62B86 PDFBibTeX XMLCite \textit{L. Gavalakis} and \textit{I. Kontoyiannis}, Lect. Notes Math. 2313, 367--385 (2023; Zbl 07773769) Full Text: DOI arXiv
Toscani, Giuseppe Entropy inequalities for stable densities and strengthened central limit theorems. (English) Zbl 1356.60039 J. Stat. Phys. 165, No. 2, 371-389 (2016). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, J. Stat. Phys. 165, No. 2, 371--389 (2016; Zbl 1356.60039) Full Text: DOI arXiv
Ball, Keith; Nayar, Piotr; Tkocz, Tomasz A reverse entropy power inequality for log-concave random vectors. (English) Zbl 1407.94055 Stud. Math. 235, No. 1, 17-30 (2016). MSC: 94A17 52A40 60E15 PDFBibTeX XMLCite \textit{K. Ball} et al., Stud. Math. 235, No. 1, 17--30 (2016; Zbl 1407.94055) Full Text: DOI arXiv
Toscani, Giuseppe The fractional Fisher information and the central limit theorem for stable laws. (English) Zbl 1366.60064 Ric. Mat. 65, No. 1, 71-91 (2016). MSC: 60F05 26A33 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 65, No. 1, 71--91 (2016; Zbl 1366.60064) Full Text: DOI arXiv
Nourdin, Ivan; Peccati, Giovanni; Swan, Yvik Entropy and the fourth moment phenomenon. (English) Zbl 1292.94010 J. Funct. Anal. 266, No. 5, 3170-3207 (2014). MSC: 94A17 60F05 PDFBibTeX XMLCite \textit{I. Nourdin} et al., J. Funct. Anal. 266, No. 5, 3170--3207 (2014; Zbl 1292.94010) Full Text: DOI arXiv Link
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf Solution of Shannon’s problem on the monotonicity of entropy. (English) Zbl 1062.94006 J. Am. Math. Soc. 17, No. 4, 975-982 (2004). Reviewer: Arjun K. Gupta (Bowling Green) MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{S. Artstein} et al., J. Am. Math. Soc. 17, No. 4, 975--982 (2004; Zbl 1062.94006) Full Text: DOI
Ball, Keith; Barthe, Franck; Naor, Assaf Entropy jumps in the presence of a spectral gap. (English) Zbl 1036.94003 Duke Math. J. 119, No. 1, 41-63 (2003). Reviewer: Arjun K. Gupta (Bowling Green) MSC: 94A17 60F05 PDFBibTeX XMLCite \textit{K. Ball} et al., Duke Math. J. 119, No. 1, 41--63 (2003; Zbl 1036.94003) Full Text: DOI
Johnson, Oliver Entropy inequalities and the central limit theorem. (English) Zbl 1045.60023 Stochastic Processes Appl. 88, No. 2, 291-304 (2000). Reviewer: Petr Lachout (Praha) MSC: 60F05 94A17 62B10 PDFBibTeX XMLCite \textit{O. Johnson}, Stochastic Processes Appl. 88, No. 2, 291--304 (2000; Zbl 1045.60023) Full Text: DOI
Villani, C. Fisher information estimates for Boltzmann’s collision operator. (English) Zbl 0918.60093 J. Math. Pures Appl., IX. Sér. 77, No. 8, 821-837 (1998). MSC: 60K40 60H99 94A15 PDFBibTeX XMLCite \textit{C. Villani}, J. Math. Pures Appl. (9) 77, No. 8, 821--837 (1998; Zbl 0918.60093) Full Text: DOI
Voiculescu, Dan The analogues of entropy and of Fisher’s information measure in free probability theory. I. (English) Zbl 0781.60006 Commun. Math. Phys. 155, No. 1, 71-92 (1993). MSC: 60A99 94A17 PDFBibTeX XMLCite \textit{D. Voiculescu}, Commun. Math. Phys. 155, No. 1, 71--92 (1993; Zbl 0781.60006) Full Text: DOI