Results 101 to 110 of about 654,419 (234)
Isoperimetric inequalities for Schatten norms of Riesz potentials [PDF]
, 2015 In this note we prove that the ball is a maximiser of some Schatten $p$-norms of the Riesz potential operators among all domains of a given measure in $\mathbb R^{d}$.
G. Rozenblum +2 more
semanticscholar +1 more source
On an isoperimetric-isodiametric inequality [PDF]
Analysis & PDE, 2017 Final version to appear in Analysis & PDE.
Andrea Mondino, Emanuele Spadaro
openaire +5 more sources
A full classification of the isometries of the class of ball‐bodies
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3691-3698, December 2025.Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan +2 more
wiley +1 more source
Needle decompositions and isoperimetric inequalities in Finsler geometry [PDF]
, 2015 Klartag recently gave a beautiful alternative proof of the isoperimetric inequalities of Levy-Gromov, Bakry-Ledoux, Bayle and E. Milman on weighted Riemannian manifolds.
Shin-ichi Ohta
semanticscholar +1 more source
Fat equator effect and minimality in immersions and submersions of the sphere
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley +1 more source
Orlicz Mean Dual Affine Quermassintegrals
Journal of Function Spaces, 2018 Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
doaj +1 more source
Percolation and local isoperimetric inequalities [PDF]
, 2014 In this paper we establish some relations between percolation on a given graph G and its geometry. Our main result shows that, if G has polynomial growth and satisfies what we call the local isoperimetric inequality of dimension d > 1, then p_c(G) < 1 ...
Teixeira, Augusto
core
Isoperimetric inequalities for the logarithmic potential operator [PDF]
, 2015 In this paper we prove that the disc is a maximiser of the Schatten p-norm of the logarithmic potential operator among all domains of a given measure in R 2 , for all even integers 2 ≤ p ∞ .
Michael Ruzhansky, D. Suragan
semanticscholar +1 more source
Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley +1 more source
On the structure of subsets of the discrete cube with small edge boundary
Discrete Analysis, 2018 On the structure of subsets of the discrete cube with small edge boundary, Discrete Analysis 2018:9, 29 pp. An isoperimetric inequality is a statement that tells us how small the boundary of a set can be given the size of the set, for suitable notions ...
David Ellis +2 more
doaj +1 more source