Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Arora, Shivam"'
Physics-informed neural networks have emerged as a prominent new method for solving differential equations. While conceptually straightforward, they often suffer training difficulties that lead to relatively large discretization errors or the failure
Externí odkaz:
http://arxiv.org/abs/2310.17053
We present a machine learning based method for learning first integrals of systems of ordinary differential equations from given trajectory data. The method is model-agnostic in that it does not require explicit knowledge of the underlying system of
Externí odkaz:
http://arxiv.org/abs/2301.07503
The main objects of study in this article are pairs $(G, \mathcal{H})$ where $G$ is a topological group with a compact open subgroup, and $\mathcal{H}$ is a finite collection of open subgroups. We develop geometric techniques to study the notions of
Externí odkaz:
http://arxiv.org/abs/2206.07141
Let $H$ be a group acting on a simply-connected diagrammatically reducible combinatorial 2-complex $X$ with fine 1-skeleton. If the fixed point set $X^ H$ is non-empty, then it is contractible. Having fine 1-skeleton is a weaker version of being loca
Externí odkaz:
http://arxiv.org/abs/2107.01254
Publikováno v:
In Journal of Algebra 1 October 2023 631:830-876
Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups
Publikováno v:
JOURNAL OF TOPOLOGY AND ANALYSIS (2021)
This article is part of the program of studying large-scale geometric properties of totally disconnected locally compact groups, TDLC-groups, by analogy with the theory for discrete groups. We provide a characterization of hyperbolic TDLC-groups, in
Externí odkaz:
http://arxiv.org/abs/1908.07946
Akademický článek
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A result of Gersten states that if $G$ is a hyperbolic group with integral cohomological dimension $\mathsf{cd}_{\mathbb{Z}}(G)=2$ then every finitely presented subgroup is hyperbolic. We generalize this result for the rational case $\mathsf{cd}_{\ma
Externí odkaz:
http://arxiv.org/abs/1811.09220
Two elements in a group $G$ are said to $z$-equivalent or to be in the same $z$-class if their centralizers are conjugate in $G$. In \cite{kkj}, it was proved that a non-abelian $p$-group $G$ can have at most $\frac{p^k-1}{p-1} +1$ number of $z$-clas
Externí odkaz:
http://arxiv.org/abs/1605.01166
Akademický článek
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