11 papers
On the contact type conjecture for exact magnetic systems
Lina Deschamps, Levin Maier, Tom Stalljohann
In this article, we answer-for a class of magnetic systems-a question now known as the contact type conjecture, whose origin trace back to the 1998 work of Contreras, Iturriaga, Pa…
On Mañé's critical value for the two-component Hunter-Saxton system and a infnite dimensional magnetic Hopf-Rinow theorem
Levin Maier
In this paper, we introduce a nonlinear system of partial differential equations, the magnetic two-component Hunter-Saxton system (M2HS). This system is formulated as a magnetic ge…
Information Geometry via the Q-Root Transform
Levin Maier
In this paper, we introduce \emph{-information geometry}, an infinite-dimensional framework that shares key features with the geometry of the space of probability densities…
On geometric hydrodynamics and infinite-dimensional magnetic systems
Levin Maier
In this article, we combine V. Arnold's celebrated approach via the Euler-Arnold equation -- describing the geodesic flow on a Lie group equipped with a right-invariant metric \cit…
Mathematical Foundations of Modeling ETL Process Chains
Levin Maier, Lucas Schulze, Robert Lilow +10
Extract-Transform-Load (ETL) processes are core components of modern data processing infrastructures. The throughput of processed data records can be adjusted by changing the amoun…
On Global Weak Solutions for the Magnetic Two-Component Hunter-Saxton System
Levin Maier
We study the magnetic two-component Hunter-Saxton system (M2HS), which was recently derived in \cite{M24} as a magnetic geodesic equation on an infinite-dimensional configuration s…