3 papers
gr-qc2025
Rotating Isospectral Drums
Anton Lebedev
In this thesis I demonstrate that isospectral domains, that is domains of differing geometric shapes that possess identical spectra, do not remain isospectral when subject to unifo…
cs.LG2025
Fast Linear Solvers via AI-Tuned Markov Chain Monte Carlo-based Matrix Inversion
Anton Lebedev, Won Kyung Lee, Soumyadip Ghosh +7
Large, sparse linear systems are pervasive in modern science and engineering, and Krylov subspace solvers are an established means of solving them. Yet convergence can be slow for…
physics.comp-ph2025
Effects of the entropy source on Monte Carlo simulations
Anton Lebedev, Annika Möslein, Olha I. Yaman +2
In this paper we show how different sources of random numbers influence the outcomes of Monte Carlo simulations. We compare industry-standard pseudo-random number generators (PRNGs…