In 1967, Lipman Bers proved his area inequalities for Kleinian groups and gave examples to show that they are sharp; a group for which equality holds is termed extremal.
William Harvey, William Abikoff
core +1 more source
Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz +3 more
wiley +1 more source
Properties of the Linear multiplier operator for the Weinstein transform and applications
In this article, we use the theory of reproducing kernels to study the Weinstein multiplier operators on Sobolev type spaces. Some applications are given and an associated Hormander type theorem on L^p-boundedness is established.
Abdessalem Gasmi, Anis El Garna
doaj
The Simplest Nonconvex Control Problem. The Maximum Principle and Sufficient Optimality Conditions
The optimal control problem with linear phase system and linear-quadratic functional is considered. The transition from the maximum principle to sufficient optimality conditions is fulfilled with the help of the notion of strongly extremal control.
V.A. Srochko
doaj +1 more source
Stationary-excess operator and convex stochastic orders [PDF]
The present paper aims to point out how the stationary-excess operator and its iterates transform the s-convex stochastic orders and the associated moment spaces.
Stéphane Loisel, Claude Lefèvre
core
Sex Representation in US Stroke Clinical Trials: A Decade of Trends and Challenges
ABSTRACT Objective Stroke remains a major cause of disability and mortality in the US, with significant sex‐based disparities, and females remain underrepresented in stroke clinical trials. We aimed to examine sex representation in US‐based stroke clinical trials, identify trial characteristics associated with higher female enrollment (≥ 50%), and ...
Chaitali Dagli +5 more
wiley +1 more source
Prime numbers with a certain extremal type property
The convex hull of the subgraph of the prime counting function x → π(x) is a convex set, bounded from above by a graph of some piecewise affine function x → ε(x). The vertices of this function form an infinite sequence of points (ek,π(ek))1∞.
Edward Tutaj
doaj +1 more source
On Functional Central Limit Theorems for Dependent, Heterogeneous Tail Arrays with Applications to Tail Index and Tail Dependence Estimators [PDF]
We establish functional central limit theorems for a broad class of dependent, heterogeneous tail arrays encountered in the extreme value literature, including extremal exceedances, tail empirical processes and tail empirical quantile processes.
Jonathan Hill
core
Dense H-free graphs are almost (Χ(H)-1)-partite [PDF]
By using the Szemeredi Regularity Lemma, Alon and Sudakov recently extended the classical Andrasfai-Erdos-Sos theorem to cover general graphs. We prove, without using the Regularity Lemma, that the following stronger statement is true.
Peter Allen, Allen, Peter
core
Cracking the Code: Genotype–Phenotype Correlation Models in Sarcoglycanopathies
ABSTRACT Objective Sarcoglycanopathies are among the most severe limb‐girdle muscular dystrophies (LGMD), though milder presentations have been described. These diseases are primarily caused by missense variants, but the limited predictability of their effect on protein maturation, complex formation, and transport has hindered reliable genotype ...
Leonela Luce +72 more
wiley +1 more source

