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pro vyhledávání: '"Tangent measure"'
Akademický článek
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Autor:
Andrea Merlo, Gioacchino Antonelli
Publikováno v:
Calculus of Variations and Partial Differential Equations
This paper deals with the theory of rectifiability in arbitrary Carnot groups, and in particular with the study of the notion of $\mathscr{P}$-rectifiable measure. First, we show that in arbitrary Carnot groups the natural \textit{infinitesimal} defi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1717ea25a7bdecb32423bf7a13f83eb
https://doi.org/10.1007/s00526-021-02112-4
https://doi.org/10.1007/s00526-021-02112-4
Autor:
Jonas Azzam, Mihalis Mourgoglou
Publikováno v:
Anal. PDE 12, no. 8 (2019), 1891-1941
Tangent measure and blow-up methods are powerful tools for understanding the relationship between the infinitesimal structure of the boundary of a domain and the behavior of its harmonic measure. We introduce a method for studying tangent measures of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd60c9596990c251a87bacf9f9f5acfc
https://doi.org/10.2140/apde.2019.12.1891
https://doi.org/10.2140/apde.2019.12.1891
Autor:
Mattila, Pertti
Publikováno v:
Annales Fennici Mathematici
We define rectifiability in $\mathbb{R}^{n}\times\mathbb{R}$ with a parabolic metric in terms of $C^1$ graphs and Lipschitz graphs with small Lipschitz constants and we characterize it in terms of approximate tangent planes and tangent measures. We a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b63268dbbfe52a854bfbec3a443bca6
http://arxiv.org/abs/2103.16401
http://arxiv.org/abs/2103.16401
Autor:
Jeffrey Streets, Casey Lynn Kelleher
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 35:1655-1686
We study singularity structure of Yang–Mills flow in dimensions n ≥ 4 . First we obtain a description of the singular set in terms of concentration for a localized entropy quantity, which leads to an estimate of its Hausdorff dimension. We develo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c46473ab549cd2b2a22115db6e2b9278
https://doi.org/10.1016/j.anihpc.2018.01.006
https://doi.org/10.1016/j.anihpc.2018.01.006
Akademický článek
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Autor:
Richard Garner
Publikováno v:
Advances in Mathematics. 323:668-687
Tangent categories were introduced by Rosicky as a categorical setting for differential structures in algebra and geometry; in recent work of Cockett, Crutwell and others, they have also been applied to the study of differential structure in computer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc90c472c48f7df3a149e56b70c9abb8
https://doi.org/10.1016/j.aim.2017.10.039
https://doi.org/10.1016/j.aim.2017.10.039
Autor:
Adolfo Arroyo-Rabasa
Publikováno v:
Proceedings of the American Mathematical Society
We give a simple criterion on the set of probability tangent measures $\mathrm{Tan}(\mu,x)$ of a positive Radon measure $\mu$, which yields lower bounds on the Hausdorff dimension of $\mu$. As an application, we give an elementary and purely algebrai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dda7066381ef99f6ed85130182fd38a7
Autor:
Xiangyu Liang
Publikováno v:
Journal de Mathématiques Pures et Appliquées
Journal de Mathématiques Pures et Appliquées, Elsevier, 2017, 108 (5), pp.633-661. ⟨10.1016/j.matpur.2017.05.011⟩
Journal de Mathématiques Pures et Appliquées, Elsevier, 2017, 108 (5), pp.633-661. ⟨10.1016/j.matpur.2017.05.011⟩
We prove that, without any assumption on lower density bound or codimension, any 1-dimensional stationary varifold on any Riemannian manifold admits unique tangent behaviour everywhere.
33 pages
33 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfe9d3d84c59f401a810e95ff728baa8
https://hal.archives-ouvertes.fr/hal-02106348
https://hal.archives-ouvertes.fr/hal-02106348
Autor:
Antti Käenmäki
Conical density theorems are used in the geometric measure theory to derive geometric information from given metric information. The idea is to examine how a measure is distributed in small balls. Finding conditions that guarantee the measure to be e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bed7c024359ab445c268a24c13cdde4e
http://arxiv.org/abs/1710.02371
http://arxiv.org/abs/1710.02371