The Brownian web is a two-dimensional black noise

The Brownian web is a random variable consisting of a Brownian motion starting from each space-time point on the plane. These are independent until they hit each other, at which point they coalesce. Tsirelson mentions this model in his paper "Scaling limit, Noise, Stability", along with planar percolation, in suggesting the existence of a two-dimensional black noise. A two-dimensional noise is, roughly speaking, a random object on the plane whose distribution is translation invariant and whose behavior on disjoint subsets is independent. Black means sensitive to the resampling of sets of arbitrarily small total area. Tsirelson implicitly asks: "Is the Brownian web a two-dimensional black noise?". We give a positive answer to this question, providing the second known example of such after the scaling limit of critical planar percolation.Comment: 16 Pages, 3 Figure

Race, diversity and criminal justice in Canada:a view from the UK

ABSTRACT This article examines the way in which those employed in the Canadia

Modelling the burden caused by gene expression: an in silico investigation into the interactions between synthetic gene circuits and their chassis cell

In this paper we motivate and develop a model of gene expression for the purpose of studying the interaction between synthetic gene circuits and the chassis cell within which they are in- serted. This model focuses on the translational aspect of gene expression as this is where the literature suggests the crucial interaction between gene expression and shared resources lies

Addressing criminality in childhood: is responsivity the central issue?

The responsivity principle is the third element of the now well-established risk–need–responsivity (RNR) model of offender rehabilitation. Accruing evidence suggests it is often sacrificed in intervention programs. We aim to demonstrate the central importance of this principle when designing offender interventions by describing the results of a successful, highly responsive intervention for very young children (aged 7 upward) who have offended. A small slice of the offending population as a whole, child offenders are nevertheless tomorrow’s serious, violent, and prolific lawbreakers, yet little is understood about what reduces their risk. Recent developments on responsivity are reviewed, before presenting the evaluation indicating significant and sustained drops in risk of recidivism. In-program factors such as the nature and dosage of interventions are examined, alongside outcome data. The article discusses how RNR and other models might apply to this particularly young and underresearched age group. </jats:p