Results 71 to 80 of about 469,360 (206)
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 +1 more
doaj
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 +3 more
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 +3 more sources
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
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 +3 more
doaj +1 more source
Inequalities and counterexamples for functional intrinsic volumes and beyond
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley +1 more source
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
The sharp quantitative isoperimetric inequality
, 2008 A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture by ...
MAGGI F. +6 more
core +1 more source
On Convergence of a Family of Random Walks in the Infinite Dimensional Stiefel Manifold
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we study random walks taking values in an infinite‐dimensional space—either a Hilbert space or an infinite‐dimensional manifold embedded in it, such as the Stiefel manifold. These random walks arise in problems in shape theory, particularly when stochastic optimization is applied.
Andrea C. G. Mennucci, Shikha Binwal
wiley +1 more source
Machine Learning for Maximizing the Memristivity of Single and Coupled Quantum Memristors
Advanced Quantum Technologies, Volume 8, Issue 12, December 2025.Machine learning (ML) methods are proposed to characterize the memristive properties of single and coupled quantum memristors. It is shown that maximizing the memristivity leads to large values in the degree of entanglement of two quantum memristors, unveiling the close relationship between quantum correlations and memory.
Carlos Hernani‐Morales +5 more
wiley +1 more source