Tony Y. Zeng

collaborators

3 papers

math.PR2024

Approximately Jumping Towards the Origin

Alex Albors, François Clément, Shosuke Kiami +3

Given an initial point $x_{0} \in R^{d}$ and a sequence of vectors $v_{1}, v_{2}, \dots$ in $R^{d}$ , we define a greedy sequence by setting $x_{n} = x_{n - 1} \pm v_{n}$ where…

math.DS2024

A curious dynamical system in the plane

Stefan Steinerberger, Tony Zeng

For any irrational $α > 0$ and any initial value $z_{- 1} \in C$ , we define a sequence of complex numbers $(z_{n})_{n = 0}^{\infty}$ as follows: $z_{n}$ is $z_{n - 1} + e^{2 π i α n}$ …

math.FA2024

On the Structure of Bad Science Matrices

Alex Albors, Hisham Bhatti, Lukshya Ganjoo +5

The bad science matrix problem consists in finding, among all matrices $A \in R^{n \times n}$ with rows having unit $ℓ^{2}$ norm, one that maximizes $β(A) = \frac{1}{2^n}…