Chieu-Minh Tran

activity

20172026

most citedInterpolative Fusions I

9 citations · 34 across the 22 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.LO2023

Of model completeness and algebraic groups

Daniel Max Hoffmann, Piotr Kowalski, Chieu-Minh Tran +1

We show that if G is a split semisimple algebraic group over a model complete field K, then the groups G(K) and G(K)' (the commutator group which is a ``Chevalley group'' as for ex…

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-…

Of model completeness and algebraic groups

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 $SO (3, R)$