We discuss and compare two recently proposed toy models for anomalous transport Griffiths effects in random systems near the Many-Body Localization transitions: dephasing model, which adds thermal inclusions an Anderson Insulator as local Markovian channels that heat up system, Gaussian Orthogonal Ensemble (GOE) approach them terms of ensembles regular graphs. For these settings we dissipative ...

Networks and dynamical processes occurring on them have become a paradigmatic representation of complex systems. Studying the role of quenched disorder, both intrinsic to nodes and topological, is a key challenge. With this in mind, here we analyze the contact process (i.e., the simplest model for propagation phenomena) with node-dependent infection rates (i.e., intrinsic quenched disorder) on ...

OBJECTIVE We aimed to replicate a previous study of 1-year-olds that reported a deficit in motor development associated with moderate alcohol use during lactation, using a different but comparable population. METHODOLOGY The mental development of 915 18-month-old toddlers from a random sample of a longitudinal population-based study in the United Kingdom was measured using the Griffiths Devel...

Griffiths claims that the “single family rule”, a basic postulate of the decoherent histories approach, rules out our requirement that any decoherent history has a unique truth value, independently from the decoherent family to which it may belong. Here we analyze the reasons which make our requirement indispensable and we discuss the consequences of rejecting it. This short letter is a reply t...

The Griffiths group Grr(X) of a smooth projective variety X over an algebraically closed field is defined to be the group of homologically trivial algebraic cycles of codimension r on X modulo the subgroup of algebraically trivial algebraic cycles. The main result of this paper is that the Griffiths group Gr(Ak̄) of a supersingular abelian variety Ak̄ over the algebraic closure of a finite field ...

OBJECTIVE Neurodevelopmental and cognitive difficulties are known to occur frequently in boys with Duchenne muscular dystrophy but so far none of the published studies have reported both early neurodevelopmental assessments and cognitive tests in the same cohort. The aim of the present longitudinal study was to establish the correlation between early neurodevelopmental assessments performed in ...