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math.CO2023
Kemperman's inequality and Freiman's lemma via few translates
Yifan Jing, Akshat Mudgal
Let be a connected compact group equipped with the normalised Haar measure . Our first result shows that given , there is a constant such that for any…
math.GR2023
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,…
math.GR2023★ 1 cited
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-…