Majorizing measures and proportional subsets of bounded orthonormal systems
International audienceIn this article we prove that for any orthonormal system (φj)nj=1 ⊂ L2 that is bounded in L∞, and any 1 < k < n, there exists a subset I of cardinality greater than n − k such that on span{φi}i∈I, the L1 norm and the L2 norm are ...
Pajor, Alain +3 more
core +3 more sources
High-throughput sequencing of the synaptome in major depressive disorder [PDF]
Major depressive disorder (MDD) is among the leading causes of worldwide disability. Despite its significant heritability, large-scale genome-wide association studies (GWASs) of MDD have yet to identify robustly associated common variants. Although increased sample sizes are being amassed for the next wave of GWAS, few studies have as yet focused on ...
M, Pirooznia +5 more
openaire +2 more sources
Ergodicity of p-majorizing quadratic stochastic operators [PDF]
A scrambling square stochastic matrix plays an important role in the theory of the classical Markov chain. One of the classical results states that a row-stochastic matrix is strongly ergodic if and only if its some power is a scrambling matrix.
Saburov, Mansoor
core
Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source
Semilocal convergence conditions for the secant method, using recurrent functions
Using our new concept of recurrent functions, we present new sufficient convergence conditions for the secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K. Argyros, Saïd Hilout
doaj +2 more sources
Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
wiley +1 more source
On Newton's method using recurrent functions under hypotheses up to the second Fréchet derivative
We provide semilocal result for the convergence of Newton method to a locally unique solution of an equation in a Banach space setting using hypotheses up to the second Fréchet-derivatives and our new idea of recurrent functions.
Ioannis K. Argyros, Saïd Hilout
doaj +2 more sources
A convergence analysis of an iterative algorithm of order \(1.839\ldots\) under weak assumptions
We provide new and weaker sufficient local and semilocal conditions for the convergence of a certain iterative method of order 1.839\(\ldots\) to a solution of an equation in a Banach space.
Ioannis K. Argyros
doaj +2 more sources
Separating sequence overlap for automated test sequence [PDF]
Finite state machines have been used to model a number of classes of system and there has thus been much interest in the automatic generation of test sequences from finite state machines.
Hierons, RM
core +1 more source
Structure‐forward targeting of claudins with synthetic binders
Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley +1 more source

