3 citations · 3 across the 9 of their papers we have counts for
12 papers
SympFormer: Inertial Attention Blocks from Damped Hamiltonian Dynamics on Spaces of Probability Measures
Viktor Stein, Levin Maier, Wuchen Li +1
The attention mechanism underpins modern large language models, yet their dynamics remain only partially understood. Recent perspectives interpret attention blocks as interacting p…
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…
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…
On Mañé's Critical Value for Tonelli Lagrangians on Half Lie-Groups
Levin Maier, Francesco Ruscelli
In this article, we introduce Tonelli Lagrangians on half-Lie groups equipped with a strong right-invariant Riemannian metric. These are right-invariant Lagrangians defined on the…
The Hopf--Rinow Theorem and Mañé's Critical Value for Magnetic Geodesics on Half Lie-Groups
Levin Maier, Francesco Ruscelli
In this article, we investigate \emph{right-invariant magnetic systems} on half-Lie groups, which consist of a strong right-invariant Riemannian metric and a right-invariant closed…
The growth rate of closed prime magnetic geodesics on closed contact manifolds
Lina Deschamps, Levin Maier, Tom Stalljohann
In this paper, we prove that for any given closed contact manifold, there exists an infinite-dimensional space of Riemannian metrics which can be identified with the space of bundl…
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…
Information Geometry on the -Simplex via the -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…
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…
The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensional spheres
Peter Albers, Gabriele Benedetti, Levin Maier
The subject of this article are magnetic geodesics on odd-dimensional spheres endowed with the round metric and with the magnetic potential given by the standard contact form. We c…