Results 71 to 80 of about 520,398 (211)

Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley   +1 more source

On isoperimetric inequality in Arakelov geometry

, 2015
We establish an isoperimetric inequality in an integral form and deduce a strong Brunn-Minkowski inequality in the Arakelov geometry setting.
Chen, Huayi
core   +2 more sources

Super-entropic black holes in gravity’s rainbow and determining constraints on rainbow functions

European Physical Journal C: Particles and Fields
This paper is motivated by the application of the inverse isoperimetric inequality to establish constraints on the parameters of gravity’s rainbow. We investigate the thermodynamic (in)stability conditions for d-dimensional energy-dependent black holes ...
Behzad Eslam Panah, Narges Heidari, Mana Soleimani, Maryam Kaveh   +3 more
doaj   +1 more source

Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
wiley   +1 more source

Isoperimetric inequality for div-curl fields

Journal of Inequalities and Applications, 2002
Let be a Hölder conjugate pair of vector fields, both belonging to the space . Suppose that div and curl . In this paper we prove the following isoperimetric type inequality where and .
di Napoli Antonia Passarelli, Carozza Menita   +1 more
doaj  

Pólya's conjecture for Dirichlet eigenvalues of annuli

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove Pólya's conjecture for the eigenvalues of the Dirichlet Laplacian on annular domains. Our approach builds upon and extends the methods we previously developed for disks and balls. It combines variational bounds, estimates of Bessel phase functions, refined lattice point counting techniques and a rigorous computer‐assisted analysis. As
Nikolay Filonov, Michael Levitin, Iosif Polterovich, David A. Sher   +3 more
wiley   +1 more source

Horndeski gravity and the violation of reverse isoperimetric inequality

European Physical Journal C: Particles and Fields, 2017
We consider Einstein–Horndeski–Maxwell gravity, together with a cosmological constant and multiple Horndeski axions. We construct charged AdS planar black holes in general dimensions where the Horndeski axions span over the planar directions.
Xing-Hui Feng, Hai-Shan Liu, Wen-Tian Lu, H. Lü   +3 more
doaj   +1 more source

Counting Independent Sets in Percolated Graphs via the Ising Model

Random Structures &Algorithms, Volume 68, Issue 1, January 2026.
ABSTRACT Given a graph G$$ G $$, we form a random subgraph Gp$$ {G}_p $$ by including each edge of G$$ G $$ independently with probability p$$ p $$. We provide an asymptotic expansion of the expected number of independent sets in random subgraphs of regular bipartite graphs satisfying certain vertex‐isoperimetric properties, extending the work of ...
Anna Geisler, Mihyun Kang, Michail Sarantis, Ronen Wdowinski   +3 more
wiley   +1 more source

Isoperimetric Inequality in the Plane

, 2004
. We prove a sharp isoperimetric inequality in the Grushin plane and compute the corresponding isoperimetric ...
Daniele Morbidelli Grushin, Roberto Monti   +1 more
core  

Holography, probe branes and isoperimetric inequalities

Physics Letters B, 2015
In many instances of holographic correspondences between a d-dimensional boundary theory and a (d+1)-dimensional bulk, a direct argument in the boundary theory implies that there must exist a simple and precise relation between the Euclidean on-shell ...
Frank Ferrari, Antonin Rovai
doaj   +1 more source