Results 81 to 90 of about 1,599 (218)
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
On the quantitative isoperimetric inequality in R^N
, 2023 A proof of the quantitative isoperimetric inequality via Selection Principle is provided, taking into consideration the work of M. Cicalese and G.P. Leonardi.
GAMBICCHIA, CHIARA
core
Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
Journal of Function Spaces, 2018 Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
doaj +1 more source
Isoperimetric inequalities for conformal moments of plane domains
Journal of Inequalities and Applications, 2002 We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected domain (F.
Avkhadiev FG, Salahudinov RG
doaj
Accelerating black hole chemistry
Physics Letters B, 2019 We introduce a new set of chemical variables for the accelerating black hole. We show how these expressions suggest that conical defects emerging from a black hole can be considered as true hair – a new charge that the black hole can carry – and discuss ...
Ruth Gregory, Andrew Scoins
doaj +1 more source
On The Relative Isoperimetric Inequality
, 2002 If C C, does D satisfy the isoperimetric inequality #nVolume(D) ? Does equality hold if and only if C = H and D is a half ball with the flat part of its boundary lying in #H?
Jaigyoung Choe
core
Isoperimetric Inequality in the Plane
, 2004 . We prove a sharp isoperimetric inequality in the Grushin plane and compute the corresponding isoperimetric ...
Daniele Morbidelli Grushin +1 more
core
A tropical isoperimetric inequality
, 2017 arXiv:1611.04148International audienceWe introduce tropical analogues of the notion of volume of polytopes, leading to a tropical version of the (discrete) classical isoperimetric inequality.
Joswig, Michael +2 more
core
Isoperimetric inequality in noncompact MCP spaces
, 2022 We prove a sharp isoperimetric inequality for the class of metric measure spaces verifying the synthetic Ricci curvature lower bounds Measure Contraction property (MCP(0, N)) and having Euclidean volume growth at infinity.
Cavalletti, Fabio, Manini, Davide
core +1 more source
Characterization of Low Dimensional RCD*(K, N) Spaces
Analysis and Geometry in Metric Spaces, 2016 In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called RCD*(K, N) spaces) with non-empty one dimensional regular sets.
Kitabeppu Yu, Lakzian Sajjad
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