Nayar, Piotr; Tkocz, Tomasz On a convexity property of sections of the cross-polytope. (English) Zbl 1447.52013 Proc. Am. Math. Soc. 148, No. 3, 1271-1278 (2020). Reviewer: Vitor Balestro (Niterói) MSC: 52A40 52A20 52A38 PDFBibTeX XMLCite \textit{P. Nayar} and \textit{T. Tkocz}, Proc. Am. Math. Soc. 148, No. 3, 1271--1278 (2020; Zbl 1447.52013) Full Text: DOI arXiv
Eskenazis, Alexandros; Nayar, Piotr; Tkocz, Tomasz Gaussian mixtures: entropy and geometric inequalities. (English) Zbl 1428.60036 Ann. Probab. 46, No. 5, 2908-2945 (2018). MSC: 60E15 52A20 52A40 94A17 PDFBibTeX XMLCite \textit{A. Eskenazis} et al., Ann. Probab. 46, No. 5, 2908--2945 (2018; Zbl 1428.60036) Full Text: DOI arXiv Euclid
Livshyts, Galyna; Marsiglietti, Arnaud; Nayar, Piotr; Zvavitch, Artem On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities. (English) Zbl 1376.52014 Trans. Am. Math. Soc. 369, No. 12, 8725-8742 (2017). MSC: 52A40 60G15 PDFBibTeX XMLCite \textit{G. Livshyts} et al., Trans. Am. Math. Soc. 369, No. 12, 8725--8742 (2017; Zbl 1376.52014) Full Text: DOI arXiv
Bobkov, Sergey G.; Nayar, Piotr; Tetali, Prasad Concentration properties of restricted measures with applications to non-Lipschitz functions. (English) Zbl 1366.60052 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2014–2016. Cham: Springer (ISBN 978-3-319-45281-4/pbk; 978-3-319-45282-1/ebook). Lecture Notes in Mathematics 2169, 25-53 (2017). MSC: 60E15 60D05 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Lect. Notes Math. 2169, 25--53 (2017; Zbl 1366.60052) Full Text: DOI arXiv
Nayar, Piotr; Tkocz, Tomasz S-inequality for certain product measures. (English) Zbl 1290.60017 Math. Nachr. 287, No. 4, 398-404 (2014). MSC: 60E15 60E05 PDFBibTeX XMLCite \textit{P. Nayar} and \textit{T. Tkocz}, Math. Nachr. 287, No. 4, 398--404 (2014; Zbl 1290.60017) Full Text: DOI arXiv
Nayar, Piotr; Tkocz, Tomasz A note on a Brunn-Minkowski inequality for the Gaussian measure. (English) Zbl 1305.52017 Proc. Am. Math. Soc. 141, No. 11, 4027-4030 (2013). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 60G15 PDFBibTeX XMLCite \textit{P. Nayar} and \textit{T. Tkocz}, Proc. Am. Math. Soc. 141, No. 11, 4027--4030 (2013; Zbl 1305.52017) Full Text: DOI arXiv