Asymptotic analysis of time dependent solutions for the coagulation equation with source and efflux

This article provides mathematical proof of the existence of stationary solutions for the coagulation equation including source and efflux terms. We demonstrate the convergence of time dependent solutions to these stationary solutions and highlight the exponential rate of convergence. These properties are analyzed for affine linear coagulation kernels, non-negative source terms and positive efflux rates. Numerical examples are included to demonstrate the predicted convergence behaviour.

Whom to Believe? Understanding and Modeling Brain Activity in Source Credibility Evaluation

Understanding how humans evaluate credibility is an important scientific question in the era of fake news. Source credibility is among the most important aspects of credibility evaluations. One of the most direct ways to understand source credibility is to use measurements of brain activity of humans performing credibility evaluations. Nevertheless, source credibility has never been investigated using such a method before. This article reports the results of an experiment during which we have measured brain activity during source credibility evaluation, using EEG. The experiment allowed for identification of brain areas that were active when a participant made positive or negative source credibility evaluations. Based on experimental data, we modeled and predicted human source credibility evaluations using EEG brain activity measurements with F1 score exceeding 0.7 (using 10-fold cross-validation).

The Shared Features Principle: If two objects share a feature, people assume those objects also share other features

In this paper we introduce the shared features principle which refers to the idea that, when two stimuli share one feature, people often assume that they share others features as well. This principle can be recognized in several known psychological phenomena, most of which were until now never considered to be related in this way. To illustrate the generative power of the principle, we report eight pre-registered studies (N = 1614) in which participants completed an acquisition phase containing three stimuli: a neutral target, a positive source, and a negative source. Our results indicate that behavioral intentions, automatic evaluations, and self-reported ratings of a target object were influenced by the source object with which the target shared a feature. This was even the case when participants were told that there was no relation between source and target objects. Taken together, the shared features principle appears to be general, reliable, and replicable across a range of measures in the attitude domain. We close with a discussion of its theoretical implications, relevance to many areas of psychological science, as well as its heuristic and predictive value