Zobrazeno 1 - 10 of 82 pro vyhledávání: '"Jeremy T. Tyson"'
1
Elektronická kniha
Sobolev Spaces on Metric Measure Spaces : An Approach Based on Upper Gradients
Autor: Juha Heinonen, Pekka Koskela, Nageswari Shanmugalingam, Jeremy T. Tyson
Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a S
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3
Correction to: Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
Autor: Eugenio Vecchi, Jeremy T. Tyson, Zoltán M. Balogh
Publikováno v: Balogh, Zoltán M.; Tyson, Jeremy T.; Vecchi, Eugenio (2020). Correction to: Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group. Mathematische Zeitschrift, 296(1-2), pp. 875-876. Springer 10.1007/s00209-019-02234-8
In the publication [1] there is an unfortunate computational error, which however does not affect the correctness of the main results.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f750adef06b03c575cac377f1404a25
https://boris.unibe.ch/151221/1/Balogh2020_Article_CorrectionToIntrinsicCurvature.pdf
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4
Heat content and horizontal mean curvature on the Heisenberg group
Autor: Jeremy T. Tyson, Jing Wang
Publikováno v: Communications in Partial Differential Equations. 43:467-505
We identify the short time asymptotics of the sub-Riemannian heat content for a smoothly bounded domain in the first Heisenberg group. Our asymptotic formula generalizes prior work by van den Berg–...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fe3f74248acea1ebff05e02939035de1
https://doi.org/10.1080/03605302.2018.1446166
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5
Frequence of Sobolev dimension distortion of horizontal subgroups in Heisenberg groups
Autor: Jeremy T. Tyson, Zoltán M. Balogh, Kevin Wildrick
Publikováno v: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :655-683
We study the behavior of Sobolev mappings defined on the subRiemannian Heisenberg groups with respect to foliations by left cosets of a horizontal homogeneous subgroup. Our main result provides a quantitative estimate, in terms of Hausdorff dimension
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::66209ffbd93aa82507cae13b1a827b8b
https://doi.org/10.2422/2036-2145.201409_08
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6
A new proof of the $C^\infty $ regularity of $C^2$ conformal mappings on the Heisenberg group
Autor: Jeremy T. Tyson, Alex D. Austin
Publikováno v: Colloquium Mathematicum. 150:217-228
We give a new proof for the $C^\infty$ regularity of $C^2$ smooth conformal mappings of the sub-Riemannian Heisenberg group. Our proof avoids any use of nonlinear potential theory and relies only on hypoellipticity of H\"ormander operators and quasic
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21765f0fccd3528681d14ac93cddae1c
https://doi.org/10.4064/cm7193-3-2017
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7
Elektronická kniha
Conformal Graph Directed Markov Systems on Carnot Groups
Autor: Vasileios Chousionis, Jeremy T. Tyson, Mariusz Urbański
The authors develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, they develop the thermodynamic formalism and show that, under n
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8
Removable sets for homogeneous linear partial differential equations in Carnot groups
Autor: Vasilis Chousionis, Jeremy T. Tyson
Publikováno v: Journal d'Analyse Mathématique. 128:215-238
Let L be a homogeneous left-invariant differential operator on a Carnot group. Assume that both L and L t are hypoelliptic. We study the removable sets for L-solutions. We give precise conditions in terms of the Carnot- Caratheodory Hausdorff dimensi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e8f463d69ae7cf6e44e9e16236c8fc08
https://doi.org/10.1007/s11854-016-0007-y
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10
On uniform measures in the Heisenberg group
Autor: Jeremy T. Tyson, Vasilis Chousionis, Valentino Magnani
We initiate a classification of uniform measures in the first Heisenberg group $\mathbb H$ equipped with the Kor\'anyi metric $d_H$, that represents the first example of a noncommutative stratified group equipped with a homogeneous distance. We prove
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a22d58cd6b0c258d8f325fc555a8e51b
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