no code implementations • 19 Jan 2021 • Yifan Jing, Chieu-Minh Tran, Ruixiang Zhang
Henstock and Macbeath asked in 1953 whether the Brunn-Minkowski inequality can be generalized to nonabelian locally compact groups; questions along the same line were also asked by Hrushovski, McCrudden, and Tao.
Group Theory Classical Analysis and ODEs Combinatorics Functional Analysis Metric Geometry 22D05, 43A05, 49Q20, 60B15
no code implementations • 2 Jun 2020 • Yifan Jing, Chieu-Minh Tran
This can be seen up-to-constant as a $(3k-4)$-theorem for this setting and confirms the connected case of conjectures by Griesmer and by Tao.
Combinatorics Group Theory Logic 22D05, 11B30, 05D10, 03C20, 43A05
