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math.DS2022
Viterbo's conjecture as a worm problem
Daniel Rudolf
In this paper, we relate Viterbo's conjecture from symplectic geometry to Minkowski versions of worm problems which are inspired by the well-known Moser worm problem from geometry.…
math.DS2022
Shortest Minkowski billiard trajectories on convex bodies
Daniel Rudolf, Stefan Krupp
We rigorously investigate closed Minkowski/Finsler billiard trajectories on -dimensional convex bodies. We outline the central properties in comparison and differentiation from…
stat.CO2022★ 2 cited
Robust random walk-like Metropolis-Hastings algorithms for concentrating posteriors
Daniel Rudolf, Björn Sprungk
Motivated by Bayesian inference with highly informative data we analyze the performance of random walk-like Metropolis-Hastings algorithms for approximate sampling of increasingly…