3 papers
cs.CY2026
The Story is Not the Science: Execution-Grounded Evaluation of Mechanistic Interpretability Research
Xiaoyan Bai, Alexander Baumgartner, Haojia Sun +2
Reproducibility crises across sciences highlight the limitations of the paper-centric review system in assessing the rigor and reproducibility of research. AI agents that autonomou…
math.NT2025
On the Ruelle-Mayer Transfer Operators for Hölder Continuous Functions
Alexander Baumgartner
We consider a family of operators connected with the geodesic flow on the modular surface. We show certain spectral information is retained after expanding their domain to the spac…
math.DS2025
Complex continued fractions, Kleinian and extremal theory for cusp excursions
Alexander Baumgartner, Mark Pollicott
For the each of the five Euclidean rings of complex quadratic integers, we consider a complex continued fraction algorithm with digits in the ring. We show for each algorithm that…