9 citations · 34 across the 22 of their papers we have counts for
7 papers · 1 filter
A nonabelian Brunn-Minkowski inequality II
Yifan Jing, Chieu-Minh Tran
We prove that every unimodular locally compact group of noncompact Lie dimension satisfies the sharp Brunn--Minkowski inequality \[ μ_G(XY)^{1/n}\geμ_G(X)^{1/n}+μ_G(Y)^{1/n…
Measure doubling in unimodular locally compact groups and quotients
Zuxiang Kong, Fei Peng, Chieu-Minh Tran
We consider a (possibly discrete) unimodular locally compact group with Haar measure , and a compact of positive measure with . Let $H…
Measure doubling of small sets in
Yifan Jing, Chieu-Minh Tran, Ruixiang Zhang
Let be the 3D-rotation group equipped with the real-manifold topology and the normalized Haar measure . Resolving a problem by Breuillard and Green,…
Measure growth in compact semisimple Lie groups and the Kemperman Inverse Problem
Yifan Jing, Chieu-Minh Tran
Suppose is a compact semisimple Lie group, is the normalized Haar measure on , and are measurable. We show that $$μ(A^2)\geq \min\{1, 2μ(A)+ημ(A)(1-…
On the small measure expansion phenomenon in connected noncompact nonabelian groups
Jinpeng An, Yifan Jing, Chieu-Minh Tran +1
Suppose is a connected noncompact locally compact group, are nonempty and compact subsets of , is a left Haar measure on . Assuming that is unimodular, and…
A Cauchy-Davenport theorem for locally compact groups
Yifan Jing, Chieu-Minh Tran
We generalize the Cauchy-Davenport theorem to locally compact groups.
A nonabelian Brunn-Minkowski inequality
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…