Note: This list was not updated for a while, and several newer papers are missing. I hope to update it soon.
For all published papers, the paper’s title links to the paper on the publisher’s website. I have also added links to the latest versions that I am legally allowed to upload. The page numbers, theorem numbers and the style of the bibliography are usually different, but the mathematical content should be identical to the published version.
- Vitali Milman and Liran Rotem. Powers and Logarithms of Convex Bodies. Comptes rendus mathématique. (PDF)
- Vitali Milman and Liran Rotem. “Irrational” constructions in convex geometry. Algebra i Analiz, 29(1):222‑236, 2017. (PDF)
- Vitali Milman and Liran Rotem. Non-standard constructions in convex geometry: geometric means of convex bodies. In Eric Carlen, Mokshay Madiman, and Elisabeth Werner, editors, Convexity and Concentration, volume 161 of The IMA Volumes in Mathematics and its Applications. pages 361‑390. Springer, 2017. (PDF)
- Vitali Milman and Liran Rotem. Characterizing the radial sum for star bodies. In Bo’az Klartag and Emanuel Milman, editors, Geometric Aspects of Functional Analysis, Israel Seminar 2014-2016, volume 2169 of Lecture Notes in Mathematics. pages 319‑329. Springer, 2017. (PDF)
- Liran Rotem. Banach limit in convexity and geometric means for convex bodies. Electronic Research Announcements in Mathematical Sciences, 23:41‑51, 2016. (PDF)
- Liran Rotem. Algebraically inspired results on convex functions and bodies. Communications in Contemporary Mathematics, 18(6):1650027, 2016. (PDF)
- Vitali Milman and Liran Rotem. Characterizing addition of convex sets by polynomiality of volume and by the homothety operation. Communications in Contemporary Mathematics, 17(3):1450022, 2015. (PDF)
- Liran Rotem. A letter: The log-Brunn-Minkowski inequality for complex bodies. arXiv:1412.5321, 2014. (PDF)
(I was asked to put this note online by experts in the field. As the note is so short, I do not have any immediate plans to publish it in a journal)
- Liran Rotem. On isotropicity with respect to a measure. In Bo’az Klartag and Emanuel Milman, editors, Geometric Aspects of Functional Analysis, Israel Seminar 2011-2013, volume 2116 of Lecture Notes in Mathematics, pages 413‑422. Springer, 2014. (PDF)
- Emanuel Milman and Liran Rotem. Complemented Brunn-Minkowski inequalities and isoperimetry for homogeneous and non-homogeneous measures. Advances in Mathematics, 262(826):867‑908, 2014. (PDF)
- Liran Rotem. A sharp Blaschke-Santaló inequality for α-concave functions. Geometriae Dedicata, 172(1):217‑228, 2014. (PDF)
- Liran Rotem. Support functions and mean width for α-concave functions. Advances in Mathematics, 243:168‑186, 2013. (PDF)
- Liran Rotem. Mixed integrals and related inequalities (part of Integral Geometry and its Applications). Oberwolfach Reports, 10(1):322‑324, 2013. (PDF)
- Vitali Milman and Liran Rotem. α-concave functions and a functional extension of mixed volumes. Electronic Research Announcements in Mathematical Sciences, 20:1‑11, 2013. (PDF)
- Vitali Milman and Liran Rotem. Mixed integrals and related inequalities. Journal of Functional Analysis, 264(2):570‑604, 2013. (PDF)
- Liran Rotem. Characterization of self-polar convex functions. Bulletin des Sciences Mathématiques, 136(7):831‑838, 2012. (PDF)
- Liran Rotem. On the mean width of log-concave functions. In Bo’az Klartag, Shahar Mendelson, and Vitali Milman, editors, Geometric Aspects of Functional Analysis, Israel Seminar 2006-2010, volume 2050 of Lecture Notes in Mathematics, pages 355‑372. Springer, 2012. (PDF)