Zobrazeno 1 - 10
of 23 525
pro vyhledávání: '"Level curves"'
The investigation of the behaviour for geometric functionals of random fields on manifolds has drawn recently considerable attention. In this paper, we extend this framework by considering fluctuations over time for the level curves of general isotro
Externí odkaz:
http://arxiv.org/abs/2207.13028
Autor:
Kwong, Kwok-Kun, Lee, Hojoo
We present an elementary criterion to show the length-minimizing property of geodesics for a large class of conformal metrics. In particular, we prove the length-minimizing property of level curves of harmonic functions and the length-minimizing prop
Externí odkaz:
http://arxiv.org/abs/2202.00942
Autor:
Adamowicz, Tomasz, Veronelli, Giona
We investigate the logarithmic convexity of the length of the level curves for harmonic functions on surfaces and related isoperimetric type inequalities. The results deal with smooth surfaces, as well as with singular Alexandrov surfaces (also calle
Externí odkaz:
http://arxiv.org/abs/2104.06198
Autor:
Weitsman, Allen
We prove an inequality for the curvature of level sets of minimal graphs having vanishing boundary values and show that if the boundary is concave, then all the level sets are concave.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2008.10197
Autor:
Sorea, Miruna-Stefana
Publikováno v:
Annales de l'Institut Fourier 2022
The non-convexity of a smooth and compact connected component of a real algebraic plane curve can be measured by a combinatorial object called the Poincare-Reeb tree associated to the curve and to a direction of projection. In this paper we show that
Externí odkaz:
http://arxiv.org/abs/1910.12790
Publikováno v:
In Journal of Multivariate Analysis September 2018 167:347-365
Autor:
Ding, Pisheng
Publikováno v:
The American Mathematical Monthly, 2018 Dec 01. 125(10), 885-900.
Externí odkaz:
https://www.jstor.org/stable/48661325
Autor:
Moser, Jan
In this paper we use operation of crossbreeding on the set of six transmutations of corresponding asymptotic complete hybrid formulas from our previous paper. We obtain in result the set of fifteen exact meta-functional equations. Every of them repre
Externí odkaz:
http://arxiv.org/abs/1906.02440
Autor:
Moser, Jan
In this paper we have obtained new phenomenon lying in the following: every fixed asymptotic complete hybrid formula (we call it as mother formula) generates infinite set of new formulas (transmutations) such that every new formula expresses a close
Externí odkaz:
http://arxiv.org/abs/1905.06078