Lee, Junseo; Jeong, Kabgyun Quantum Rényi entropy functionals for bosonic Gaussian systems. (English) Zbl 07802426 Phys. Lett., A 490, Article ID 129183, 6 p. (2023). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{J. Lee} and \textit{K. Jeong}, Phys. Lett., A 490, Article ID 129183, 6 p. (2023; Zbl 07802426) Full Text: DOI arXiv
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
Jahnel, Benedikt; Köppl, Jonas Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor properties. (English) Zbl 07789642 Ann. Appl. Probab. 33, No. 6A, 4570-4607 (2023). MSC: 82C20 60K35 PDFBibTeX XMLCite \textit{B. Jahnel} and \textit{J. Köppl}, Ann. Appl. Probab. 33, No. 6A, 4570--4607 (2023; Zbl 07789642) 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
Karatzas, I.; Schachermayer, W.; Tschiderer, B. A trajectorial approach to the gradient flow properties of Langevin-Smoluchowski diffusions. (English) Zbl 1480.60237 Theory Probab. Appl. 66, No. 4, 668-707 (2022) and Teor. Veroyatn. Primen. 66, No. 4, 839-888 (2021). MSC: 60J60 60H10 60J65 PDFBibTeX XMLCite \textit{I. Karatzas} et al., Theory Probab. Appl. 66, No. 4, 668--707 (2022; Zbl 1480.60237) Full Text: DOI arXiv
Arras, Benjamin; Swan, Yvik A stroll along the gamma. (English) Zbl 1381.60058 Stochastic Processes Appl. 127, No. 11, 3661-3688 (2017). MSC: 60E15 26D10 60B10 PDFBibTeX XMLCite \textit{B. Arras} and \textit{Y. Swan}, Stochastic Processes Appl. 127, No. 11, 3661--3688 (2017; Zbl 1381.60058) 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
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Regularized distributions and entropic stability of Cramer’s characterization of the normal law. (English) Zbl 1387.60020 Stochastic Processes Appl. 126, No. 12, 3865-3887 (2016). MSC: 60E05 62E10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Stochastic Processes Appl. 126, No. 12, 3865--3887 (2016; Zbl 1387.60020) 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
Saumard, Adrien; Wellner, Jon A. Log-concavity and strong log-concavity: a review. (English) Zbl 1360.62055 Stat. Surv. 8, 45-114 (2014). Reviewer: Fraser Daly (Edinburgh) MSC: 62E10 62H05 60E15 PDFBibTeX XMLCite \textit{A. Saumard} and \textit{J. A. Wellner}, Stat. Surv. 8, 45--114 (2014; Zbl 1360.62055) Full Text: DOI arXiv Euclid Backlinks: MO
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich Berry-Esseen bounds in the entropic central limit theorem. (English) Zbl 1307.60011 Probab. Theory Relat. Fields 159, No. 3-4, 435-478 (2014). MSC: 60F05 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Probab. Theory Relat. Fields 159, No. 3--4, 435--478 (2014; Zbl 1307.60011) 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
Dolera, Emanuele Estimates of the approximation of weighted sums of conditionally independent random variables by the normal law. (English) Zbl 1286.60024 J. Inequal. Appl. 2013, Paper No. 320, 21 p. (2013). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{E. Dolera}, J. Inequal. Appl. 2013, Paper No. 320, 21 p. (2013; Zbl 1286.60024) Full Text: DOI
Wellner, Jon A. Strong log-concavity is preserved by convolution. (English) Zbl 1271.60034 Houdré, Christian (ed.) et al., High dimensional probability VI. The Banff volume. Proceedings of the sixth high dimensional probability conference (HDP VI), Banff, Canada, October 9–14, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0489-9/hbk; 978-3-0348-0490-5/ebook). Progress in Probability 66, 95-102 (2013). MSC: 60E15 26D15 PDFBibTeX XMLCite \textit{J. A. Wellner}, Prog. Probab. 66, 95--102 (2013; Zbl 1271.60034) Full Text: DOI
Pavon, Michele; Ticozzi, Francesco On entropy production for controlled Markovian evolution. (English) Zbl 1112.82025 J. Math. Phys. 47, No. 6, 063301, 11 p. (2006). MSC: 82C05 PDFBibTeX XMLCite \textit{M. Pavon} and \textit{F. Ticozzi}, J. Math. Phys. 47, No. 6, 063301, 11 p. (2006; Zbl 1112.82025) Full Text: DOI arXiv
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
Barthe, Franck Autour de l’inégalité de Brunn-Minkowski. (Around the Brunn-Minkowski inequality.) (French) Zbl 1052.52002 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 12, No. 2, 127-178 (2003). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A40 26D20 60E99 60F99 52-02 PDFBibTeX XMLCite \textit{F. Barthe}, Ann. Fac. Sci. Toulouse, Math. (6) 12, No. 2, 127--178 (2003; Zbl 1052.52002) Full Text: DOI Numdam Numdam EuDML
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
Otto, F.; Villani, C. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. (English) Zbl 0985.58019 J. Funct. Anal. 173, No. 2, 361-400 (2000). MSC: 58J65 28A35 60E15 60G15 PDFBibTeX XMLCite \textit{F. Otto} and \textit{C. Villani}, J. Funct. Anal. 173, No. 2, 361--400 (2000; Zbl 0985.58019) 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
van Enter, Aernout C. D. Ill-defined block-spin transformations at arbitrarily high temperatures. (English) Zbl 1081.82557 J. Stat. Phys. 83, No. 3-4, 761-765 (1996). MSC: 82B28 60K35 82B05 PDFBibTeX XMLCite \textit{A. C. D. van Enter}, J. Stat. Phys. 83, No. 3--4, 761--765 (1996; Zbl 1081.82557) Full Text: DOI
Gabetta, E.; Toscani, G.; Wennberg, B. Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation. (English) Zbl 1081.82616 J. Stat. Phys. 81, No. 5-6, 901-934 (1995). MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{E. Gabetta} et al., J. Stat. Phys. 81, No. 5--6, 901--934 (1995; Zbl 1081.82616) Full Text: DOI
Carlen, E. A.; Carvalho, M. C. Entropy production estimates for Boltzmann equations with physically realistic collision kernels. (English) Zbl 0831.76074 J. Stat. Phys. 74, No. 3-4, 743-782 (1994). Reviewer: V.C.Boffi (Roma) MSC: 76P05 82C40 PDFBibTeX XMLCite \textit{E. A. Carlen} and \textit{M. C. Carvalho}, J. Stat. Phys. 74, No. 3--4, 743--782 (1994; Zbl 0831.76074) Full Text: DOI
van Enter, Aernout C. D.; Fernández, Roberto; Sokal, Alan D. Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory. (English) Zbl 1101.82314 J. Stat. Phys. 72, No. 5-6, 879-1167 (1993). MSC: 82B28 82-02 82B03 82B20 PDFBibTeX XMLCite \textit{A. C. D. van Enter} et al., J. Stat. Phys. 72, No. 5--6, 879--1167 (1993; Zbl 1101.82314) 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
Carlen, E. A.; Carvalho, M. C. Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation. (English) Zbl 0899.76317 J. Stat. Phys. 67, No. 3-4, 575-608 (1992). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{E. A. Carlen} and \textit{M. C. Carvalho}, J. Stat. Phys. 67, No. 3--4, 575--608 (1992; Zbl 0899.76317) Full Text: DOI