Zobrazeno 1 - 10
of 736
pro vyhledávání: '"David Guy"'
Publikováno v:
Journal of Medical Internet Research, Vol 26, p e50009 (2024)
BackgroundHeart failure (HF) is a significant global clinical and public health challenge, impacting 64.3 million individuals worldwide. To address the scarcity of donor organs, left ventricular assist device (LVAD) implantation has become a crucial
Externí odkaz:
https://doaj.org/article/323cd659d6e74fa7b33a2995a8bf3803
A well-known open problem asks whether every bi-Lipschitz homeomorphism of $\mathbb{R}^d$ factors as a composition of mappings of small distortion. We show that every bi-Lipschitz embedding of the unit cube $[0,1]^d$ into $\mathbb{R}^d$ factors into
Externí odkaz:
http://arxiv.org/abs/2409.05825
It is a major problem in analysis on metric spaces to understand when a metric space is quasisymmetric to a space with strong analytic structure, a so-called Loewner space. A conjecture of Kleiner, recently disproven by Anttila and the second author,
Externí odkaz:
http://arxiv.org/abs/2408.17279
Autor:
David, Guy C., Oliva, Brandon
We show that in doubling, geodesic metric measure spaces (including, for example, Euclidean space), sets of positive measure have a certain large-scale metric density property. As an application, we prove that a set of positive measure in the unit cu
Externí odkaz:
http://arxiv.org/abs/2404.11679
Consider the Schr\"odinger operator $-\triangle+\lambda V$ with non-negative iid random potential $V$ of strength $\lambda>0$. We prove existence and uniqueness of the associated landscape function on the whole space, and show that its correlations d
Externí odkaz:
http://arxiv.org/abs/2307.11182
We construct Ahlfors regular Cantor sets $K$ of small dimension in the plane, such that the Hausdorff measure on $K$ is equivalent to the harmonic measure associated to its complement. In particular the Green function in $R^2 \backslash K$ satisfies
Externí odkaz:
http://arxiv.org/abs/2303.02055
Autor:
David, Guy C.
Lipschitz light maps, defined by Cheeger and Kleiner, are a class of non-injective "foldings" between metric spaces that preserve some geometric information. We prove that if a metric space $(X,d)$ has Nagata dimension $n$, then its "snowflakes" $(X,
Externí odkaz:
http://arxiv.org/abs/2301.06467
Autor:
David Guy, Snipes Marie
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 1, Iss 2013, Pp 36-41 (2013)
Externí odkaz:
https://doaj.org/article/eeb9df31d2bd4f1586c2181b5691431b