Vuong Bui

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math.CO2025

Growth of bilinear maps III: Decidability

Vuong Bui

The following notion of growth rate can be seen as a generalization of joint spectral radius: Given a bilinear map $* : R^{d} \times R^{d} \to R^{d}$ with nonnegative c…

math.CO2024

A bound on the joint spectral radius using the diagonals

Vuong Bui

The primary aim of this paper is to establish bounds on the joint spectral radius for a finite set of nonnegative matrices based on their diagonal elements. The efficacy of this ap…

math.CO2024

Growth of bilinear maps II: Bounds and orders

Vuong Bui

A good range of problems on trees can be described by the following general setting: Given a bilinear map $* : R^{d} \times R^{d} \to R^{d}$ and a vector $s\in\mathbb R…