Chieu-Minh Tran

most citedMeasure growth in compact semisimple Lie groups and the Kemperman Inverse Problem

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.LO2023

Model Theory of Complex Numbers with Polynomial Functions

Benjamin Castle, Chieu-Minh Tran

Let $C$ be the set of complex numbers, and let $P$ be a collection of complex polynomial maps in several variables. Assuming at least one $P \in P$ depends…

math.GR2023

Measure doubling of small sets in $SO (3, R)$

Yifan Jing, Chieu-Minh Tran, Ruixiang Zhang

Let $SO (3, R)$ be the 3D-rotation group equipped with the real-manifold topology and the normalized Haar measure $μ$ . 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 $G$ is a compact semisimple Lie group, $μ$ is the normalized Haar measure on $G$ , and $A, A^{2} \subseteq G$ are measurable. We show that $$μ(A^2)\geq \min\{1, 2μ(A)+ημ(A)(1-…

Model Theory of Complex Numbers with Polynomial Functions

Measure doubling of small sets in SO(3,R)

Measure growth in compact semisimple Lie groups and the Kemperman Inverse Problem

Measure doubling of small sets in $SO (3, R)$