The ε-ε property and the boundedness of isoperimetric sets with different monomial weights
, 2023 We consider a class of monomial weights A = |1|1…|N|N in ℝN, where ai is a nonnegative real number for each i ∈ {1,…,N}, and we establish the ε — ε property and the boundedness of isoperimetric sets with different monomial weights for the perimeter and ...
Emerson Abreu +2 more
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Geometric inequalities related to Steiner symmetrization
Differential and Integral Equations, 1997 For \(\Omega \) a bounded domain in \(\mathbb R^N\), let \(\delta _{\Omega} (z) = \text{dist} (z,\partial \Omega)\), \(\Omega^{*}\) the Schwarz symmetrization of \(\Omega \) (i.e., the ball in \(\mathbb R^N\) with the measure \({|}\Omega {|}\) of \(\Omega \)) and \(\delta^{*}_{\Omega}(z) = \sup \{t \geq 0: {|}\{z:{|}\delta _{\Omega}(z){|} >t ...
BETTA, MARIA FRANCESCA, MERCALDO, ANNA
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Optimal Competitiveness for Symmetric Rectilinear Steiner Arborescence and Related Problems [PDF]
, 2014 We present optimal competitive algorithms for two interrelated known problems involving Steiner Arborescence. One is the continuous problem of the Symmetric Rectilinear Steiner Arborescence (SRSA), studied by Berman and Coulston. A very related, but discrete problem (studied separately in the past) is the online Multimedia Content Delivery (MCD ...
Erez Kantor, Shay Kutten
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Update on supra-annular sizing of transcatheter aortic valve prostheses in raphe-type bicuspid aortic valve disease according to the LIRA method. [PDF]
Eur Heart J Suppl, 2022 Iannopollo G +11 more
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Complex and quaternionic analogues of Busemann’s random simplex and intersection inequalities [PDF]
In this paper, we extend two celebrated inequalities by Busemann—the random simplex inequality and the intersection inequality—to both complex and quaternionic vector spaces.
Saroglou, Christos, Wannerer, Thomas
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A note on Steiner symmetrization of hyperbolic triangles
Elemente der Mathematik, 2003 In this note the author presents a short elementary proof of the following theorem: If \(A\) and \(B\) are two points on a line \(d\), and \(\mu\), \(\nu\) are two equidistant lines, such that the distance from \(\mu\) to \(d\) is greater than that from \(\nu\) to \(d\), then among all triangles \(ABC\), with \(C\) a variable point on \(\mu\), the one ...
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Steiner symmetrization using a finite set of directions
, 2020 Let v 1 , . . . , v m be a finite set of unit vectors in R n . Suppose that an infinite sequence of Steiner symmetrizations are applied to a compact convex set K in R n , where each of the symmetrizations is taken with respect to a direction from among ...
Daniel A Klain
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Organizing Tagged Knowledge: Similarity Measures and Semantic Fluency in Structure Mining. [PDF]
J Mech Des N Y, 2020 Sexton R, Fuge M.
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Symmetrization procedures for the isoperimetric problem in symmetric spaces of noncompact type
, 2005 In der vorliegenden Arbeit wird ein neues Symmetrisierungsverfahren für das isoperimetrische Problem in symmetrischen Räumen vom nichtkompakten Typ entwickelt. Dieses ist eine Verallgemeinerung der Steiner-Symmetrisierung im Euklidischen Raum. Anders als
John, Daniel (Dipl.)
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On Steiner Symmetrizations of First Exit Time Distributions and Lévy Processes
, 2023 The goal of this thesis is to establish generalized isoperimetric inequalities on first exit time distributions as well as expectations of Lévy processes.Firstly, we prove inequalities on first exit time distributions in the case that the Lévy process is
Rolling, Timothy
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