Stefan Steinerberger

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20242026

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math.DS2025

Superpolynomial convergence in the Riemann Rearrangement Theorem

Stefan Steinerberger

Let $x \in R$ be arbitrary and consider the `greedy' approximation of $x$ by signed harmonic sums: given $a_{n} = \sum_{k \leq n} ε_{k} / k$ with $\varepsilon_k \in \l…

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 $z_{n - 1} + e^{2 π i α n}$ …