Zobrazeno 1 - 10
of 150
pro vyhledávání: '"Schmeding, Alexander"'
In this short note we discuss the existence of singular points for the exponential function of a semidirect product Lie group close to $0$. As an application, we prove that the Bondi-Metzner-Sachs group of symmetries of an asymptotically flat spaceti
Externí odkaz:
http://arxiv.org/abs/2408.15053
Let $M$ be a convex polytope with non-empty interior in a finite dimensional vector space, such that each vertex of $M$ is contained in exactly $n$ edges of $M$. The Lie group of all smooth diffeomorphisms of $M$ contains the Lie subgroup of all diff
Externí odkaz:
http://arxiv.org/abs/2407.05444
We construct a smooth Banach manifold BV$([a,b], M)$ whose elements are suitably-defined functions $f:[a,b] \rightarrow M$ of bounded variation with values in a smooth Banach manifold $M$ which admits a local addition. If the target manifold is a Ban
Externí odkaz:
http://arxiv.org/abs/2407.05190
Autor:
Grong, Erlend, Schmeding, Alexander
In this article we consider diffeomorphism groups of manifolds with smooth boundary. We show that the diffeomorphism groups of the manifold and its boundary fit into a short exact sequence which admits local sections. In other words, they form an inf
Externí odkaz:
http://arxiv.org/abs/2403.12742
The Ebin-Marsden theory is a powerful geometric framework for many PDEs from fluid dynamics. In this paper we provide a toolbox to apply the Ebin-Marsden approach to stochastic PDEs, combining tools from infinite-dimensional geometry and stochastic a
Externí odkaz:
http://arxiv.org/abs/2311.08197
Publikováno v:
Systems & Control Letters, Volume 187, May 2024, 105783
The goal of this paper is to establish some facts concerning the problem of zeroing the output of an input-output system that does not have relative degree. The approach taken is to work with systems that have a Chen-Fliess series representation. The
Externí odkaz:
http://arxiv.org/abs/2306.02187
Autor:
Schmeding, Alexander
Publikováno v:
Classical and Quantum Gravity, Volume 40, Number 3 2023
In this short note we identify the unit component of the Newman--Unti (NU) group in the fine very strong topology. In previous work, this component has been endowed with an infinite-dimensional Lie group structure, while the full NU-group does not su
Externí odkaz:
http://arxiv.org/abs/2209.00321
Publikováno v:
Bit Numer Math 63, 50 (2023)
One of the fundamental problems in shape analysis is to align curves or surfaces before computing geodesic distances between their shapes. Finding the optimal reparametrization realizing this alignment is a computationally demanding task, typically d
Externí odkaz:
http://arxiv.org/abs/2207.11141
Publikováno v:
Complex Analysis and its Synergies 10, 4 2024
We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs. Evaluating the resulting holomorphic projection at zero gives rise to
Externí odkaz:
http://arxiv.org/abs/2206.13993
We prove that the spaces of controlled (branched) rough paths of arbitrary order form a continuous field of Banach spaces. This structure has many similarities to an (infinite-dimensional) vector bundle and allows to define a topology on the total sp
Externí odkaz:
http://arxiv.org/abs/2203.05946