3 papers
math.LO2026
A Baire Category Approach to Besicovitch's Theorem and Measure Regularity
Emma Gruner, Jan Reimann
By reformulating the classical proof as a Baire Category argument, we show that Besicovitch's Theorem on the existence of subsets of finite Hausdorff measure is provable in $\maths…
math-ph2025
Power counting in the spectral action matrix model
Eva-Maria Hekkelman, Teun D. H. van Nuland, Jesse Reimann
We derive power counting formulas for ribbon graph amplitudes that were recently independently discovered in two contexts, namely as a generalization of the Kontsevich model, and a…
math.LO2024
Information vs Dimension -- an Algorithmic Perspective
Jan Reimann
This paper surveys work on the relation between fractal dimensions and algorithmic information theory over the past thirty years. It covers the basic development of prefix-free Kol…