Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem
Journal article, 2021
We give a proof of the Bourgain-Milman theorem using complex methods. The proof is inspired by Kuperberg's, but considerably shorter.
Mahler conjecture
Convex body
Legendre transform
Author
Bo Berndtsson
University of Gothenburg
Chalmers, Mathematical Sciences, Algebra and geometry
Advances in Mathematics
0001-8708 (ISSN) 1090-2082 (eISSN)
Vol. 388 107927Subject Categories
Algebra and Logic
Mathematical Analysis
DOI
10.1016/j.aim.2021.107927