Leonhard Nagel

collaborators

4 papers

cs.AI2025

Governing Automated Strategic Intelligence

Nicholas Kruus, Madhavendra Thakur, Adam Khoja +24

Military and economic strategic competitiveness between nation-states will increasingly be defined by the capability and cost of their frontier artificial intelligence models. Amon…

math.PR2025

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs

Leonhard Nagel

We study how eigenvectors of random regular graphs behave when projected onto fixed directions. For a random $d$ -regular graph with $N$ vertices, where the degree $d$ grows slowly…

math.PR2025

Quantitative Edge Eigenvector Universality for Random Regular Graphs: Berry-Esseen Bounds with Explicit Constants

Leonhard Nagel

We establish the first quantitative Berry-Esseen bounds for edge eigenvector statistics in random regular graphs. For any $d$ -regular graph on $N$ vertices with fixed $d \geq 3$ an…

cs.DM2025

Metrics on Permutation Families Defined by a Restriction Graph

Danylo Tymoshenko, Leonhard Nagel

Understanding the metric structure of permutation families is fundamental to combinatorics and has applications in social choice theory, bioinformatics, and coding theory. We study…