Minh C. Tran

activity

20172025

most citedA family of dp-minimal expansions of

(Z; +)

2 citations · 5 across the 6 of their papers we have counts for

collaborators

6 papers

physics.optics2025

Talbot effect in binary waveguide arrays

Minh C. Tran, Truong X. Tran

We study the Talbot effect in binary waveguide arrays (BWAs). Like in conventional waveguide arrays, the Talbot effect can only occur if the input signal has the period equal to $N…

physics.optics2025

Optical analogues of Bloch-Zener oscillations in binary waveguide arrays: wavenumber evolution perspective

Minh C. Tran, Truong X. Tran

We study optical analogues of Bloch oscillations and Zener tunneling in binary waveguide arrays (BWAs) with the help of the wavenumber-based approach. We analytically find two very…

math.LO2022★ 1 cited

Interpolative fusions II: Preservation results

Alex Kruckman, Minh Chieu Tran, Erik Walsberg

We study interpolative fusion, a method of combining theories $T_{1}$ and $T_{2}$ in distinct languages in a "generic" way over a common reduct $T_{\cap}$ , to obtain a theory $T_{\cup}^{*}$ .…

math.LO2017★ 2 cited

A family of dp-minimal expansions of $(Z; +)$

Minh Chieu Tran, Erik Walsberg

We show that the cyclically ordered-abelian groups expanding $(Z; +)$ contain a continuum-size family of dp-minimal structures such that no two members define the same subs…

math.LO2017

Algebraically Closed Fields with a Generic Multiplicative Character

Tigran Hakobyan, Minh Chieu Tran

We study the model theory of the $2$ -sorted structure $(F, C; χ)$ , where $F$ is an algebraic closure of a finite field of characteristic $p$ , $C$ …

math.LO2017★ 2 cited

Tame structures via character sums over finite fields

Chieu-Minh Tran

We show that the theory of algebraically closed fields with multiplicative circular orders has a model companion $ACFO$ . Using number-theoretic results on character sums o…