Zobrazeno 1 - 10
of 533
pro vyhledávání: '"Balogh, Zoltán"'
We study $p$-Wasserstein spaces over the branching spaces $\mathbb{R}^2$ and $[0,1]^2$ equipped with the maximum norm metric. We show that these spaces are isometrically rigid for all $p\geq1,$ meaning that all isometries of these spaces are induced
Externí odkaz:
http://arxiv.org/abs/2411.07051
Autor:
Balogh, Zoltán M., Kristály, Alexandru
The paper is devoted to provide Michael-Simon-type $L^p$-logarithmic-Sobolev inequalities on complete, not necessarily compact $n$-dimensional submanifolds $\Sigma$ of the Euclidean space $\mathbb R^{n+m}$. Our first result, stated for $p=2$, is shar
Externí odkaz:
http://arxiv.org/abs/2410.09419
We consider the affine-additive group as a metric measure space with a canonical left-invariant measure and a left-invariant sub-Riemannian metric. We prove that this metric measure space is locally 4-Ahlfors regular and it is hyperbolic, meaning tha
Externí odkaz:
http://arxiv.org/abs/2407.04635
Autor:
Hamill, Joseph M., Bro-Jørgensen, William, Balogh, Zoltán, Li, Haixing, Leitherer, Susanne, Solomon, David, Halbritter, András, Solomon, Gemma
Structural breaks occur in timeseries data across a broad range of fields, from economics to nanosciences. For measurements of single-molecule break junctions, structural breaks in conductance versus displacement data occur when the molecular junctio
Externí odkaz:
http://arxiv.org/abs/2401.12769
The commercial introduction of a novel electronic device is often preceded by a lengthy material optimization phase devoted to the suppression of device noise as much as possible. The emergence of novel computing architectures, however, triggers a pa
Externí odkaz:
http://arxiv.org/abs/2307.12111
The formation and dissolution of silver nanowires plays a fundamental role in a broad range of resistive switching devices, fundamentally relying on the electrochemical metallization phenomenon. It was shown, however, that resistive switching may als
Externí odkaz:
http://arxiv.org/abs/2306.05736
This paper aims to study isometries of the $1$-Wasserstein space $\mathcal{W}_1(\mathbf{G})$ over Carnot groups endowed with horizontally strictly convex norms. Well-known examples of horizontally strictly convex norms on Carnot groups are the Heisen
Externí odkaz:
http://arxiv.org/abs/2305.05492
Our purpose in this paper is to study isometries and isometric embeddings of the $p$-Wasserstein space $\mathcal{W}_p(\mathbb{H}^n)$ over the Heisenberg group $\mathbb{H}^n$ for all $p>1$ and for all $n\geq 1$. First, we create a link between optimal
Externí odkaz:
http://arxiv.org/abs/2303.15095
We explore the merits of neural network boosted, principal-component-projection-based, unsupervised data classification in single-molecule break junction measurements, demonstrating that this method identifies highly relevant trace classes according
Externí odkaz:
http://arxiv.org/abs/2303.04914
Filamentary resistive switching devices are not only considered as promising building blocks for brain-inspired computing architectures, but they also realize an unprecedented operation regime, where the active device volume reaches truly atomic dime
Externí odkaz:
http://arxiv.org/abs/2302.03214