Results 91 to 100 of about 1,372 (214)
Isoperimetric inequalities for special classes of curves
, 2011 In this paper the classical Banchoff–Pohl inequality, an isoperimetric inequality for nonsimple closed curves in the Euclidean plane, involving the square of the winding number, is sharpened for homothetic or Abresch–Langer solutions of curve shortening.
Bernd Süssmann, Süssmann, Bernd
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Mean‐field behaviour of the random connection model on hyperbolic space
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the random connection model on hyperbolic space Hd${\mathbb {H}^d}$ in dimension d=2,3$d=2,3$. Vertices of the spatial random graph are given as a Poisson point process with intensity λ>0$\lambda >0$. Upon variation of λ$\lambda$, there is a percolation phase transition: there exists a critical value λc>0$\lambda _c>0$ such that for λ<
Matthew Dickson, Markus Heydenreich
wiley +1 more source
Two bounds on the noncommuting graph
Open Mathematics, 2015 Erdős introduced the noncommuting graph in order to study the number of commuting elements in a finite group. Despite the use of combinatorial ideas, his methods involved several techniques of classical analysis.
Nardulli Stefano, Russo Francesco G.
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Integral isoperimetric transference and dimensionless Sobolev inequalities [PDF]
, 2015 We introduce the concept of Gaussian integral isoperimetric transfer and show how it can be applied to obtain a new class of sharp Sobolev-Poincaré inequalities with constants independent of the dimension.
Martín i Pedret, Joaquim, Milman, Mario
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ENTROPIC ISOPERIMETRIC INEQUALITIES FOR GENERALIZED FISHER INFORMATION
, 2022 Pursuing an earlier paper on the entropic isoperimetric inequalities, we discuss optimal bounds on the Rényi entropies in terms of the Fisher information of order ...
Bobkov, Sergey, G, Roberto, Cyril
core
Ricci Curvature, Isoperimetry and a Non-additive Entropy
Entropy, 2015 Searching for the dynamical foundations of Havrda-Charvát/Daróczy/ Cressie-Read/Tsallis non-additive entropy, we come across a covariant quantity called, alternatively, a generalized Ricci curvature, an N-Ricci curvature or a Bakry-Émery-Ricci curvature ...
Nikos Kalogeropoulos
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On some affine isoperimetric inequalities,
, 1986 The Lp analogues of the Petty projection inequality and the BusemannPetty centroid inequality are established. An affine isoperimetric inequality compares two functionals associated with convex (or more general) bodies, where the ratio of the functionals
Gaoyong Zhang, Erwin Lutwak, Deane Yang
core
Weighted isoperimetric inequalities in warped product manifolds
, 2023 We prove some sharp isoperimetric type inequalities in warped product manifolds, or more generally, multiply warped product manifolds. We also relate them to inequalities involving the higher order mean-curvature integrals.
Kwok Kun Kwong (20262474)
core
Dual
Journal of Inequalities and Applications, 2006 We establish some inequalities for the dual -centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we establish a Brunn-Minkowski-type inequality for the polar of dual -centroid bodies.
Bin Xiong, Wuyang Yu, Lin Si
doaj
Inequalities for curvature integrals in Euclidean plane
Journal of Inequalities and Applications, 2019 Let γ be a closed strictly convex curve in the Euclidean plane R2 $\mathbb{R}^{2}$ with length L and enclosing an area A, and A˜1 $\tilde{A}_{1}$ denote the oriented area of the domain enclosed by the locus of curvature centers of γ.
Zengle Zhang
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