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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On a convexity property of sections of the cross-polytope
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by Piotr Nayar and Tomasz Tkocz PDF
Proc. Amer. Math. Soc. 148 (2020), 1271-1278 Request permission

Abstract:

We establish the log-concavity of the volume of central sections of dilations of the cross-polytope (the strong B-inequality for the cross-polytope and Lebesgue measure restricted to an arbitrary subspace).
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Additional Information
  • Piotr Nayar
  • Affiliation: Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
  • MR Author ID: 890939
  • Email: nayar@mimuw.edu.pl
  • Tomasz Tkocz
  • Affiliation: Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
  • MR Author ID: 926927
  • Email: ttkocz@math.cmu.edu
  • Received by editor(s): February 27, 2019
  • Received by editor(s) in revised form: July 16, 2019
  • Published electronically: September 23, 2019
  • Communicated by: Deane Yang
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 1271-1278
  • MSC (2010): Primary 52A40; Secondary 52A20
  • DOI: https://doi.org/10.1090/proc/14777
  • MathSciNet review: 4055953