Stretched Exponential Relaxation in the Biased Random Voter Model

We study the relaxation properties of the voter model with i.i.d. random bias. We prove under mild condions that the disorder-averaged relaxation of this biased random voter model is faster than a stretched exponential with exponent $d/(d+\alpha)$, where $0<\alpha\le 2$ depends on the transition rates of the non-biased voter model. Under an additional assumption, we show that the above upper bound is optimal. The main ingredient of our proof is a result of Donsker and Varadhan (1979).Comment: 14 pages, AMS-LaTe

Large deviations for the one-dimensional Edwards model

Article / Letter to editorMathematisch Instituu

Weak interaction limits for one-dimensional random polymers

Analysis and Stochastic

Induction of morphological aberrations by enzyme inhibition in Drosophila melanogaster

Zusatz zum Futter vonDrosophila melanogaster von 5-Fluoro-2-deoxyuridin oder Aminopterin induziert überzählige Skutellar- und Dorsozentralborsten sowie gekerbte Flügel. Diese Modifikationen wurden als Konsequenz von Enzymhemmung interpretiert

Weak interaction limits for one-dimensional random polymers

Analysis and Stochastic

Central limit theorem for the Edwards model

Analysis and Stochastic

Large deviations for the one-dimensional Edwards model

Analysis and Stochastic

What do we not know (yet) about recovery colleges?:A study protocol on their (cost-)effectiveness, mechanisms of action, fidelity and positioning

BackgroundRecovery Colleges (RCs) have spread across the globe as a new way of supporting people with mental vulnerabilities in their recovery journey. RCs focus on ‘learning’ rather than ‘curing’ and in that line facilitate a transition from being a passive, dependent patient/client to an active, empowered student learning to live life, despite vulnerabilities. Peer support and co-creation are central in RCs, as peers learn from each other by sharing personal experiences with mental vulnerabilities in an accessible, inspiring and stimulating atmosphere. The implementation of RCs is highly encouraged internationally, and as a result RCs and related self-help initiatives increasingly emerge. However, high-quality research on RCs is scarce and there is a call for thorough investigation of (cost-)effectiveness, mechanisms of action, cross-border fidelity and positioning of RCs. In response, this research project aims to fill these gaps.MethodsThis research project entails (1) a prospective quasi-experimental effectiveness study and economic evaluation, (2) a multifaceted qualitative study to elaborate on the mechanisms of action of RCs for those involved (3) a study to develop a (Dutch) Fidelity Measure of Recovery Colleges, and (4) an organisational case study to describe the positioning of RCs in relation to other mental health care services and community-based initiatives. Following the ideals of co-creation and empowerment in RCs we conduct this research project in co-creation with RC students from Enik Recovery College in Utrecht, the Netherlands.DiscussionThis research project will lead to one of the first longitudinal controlled quantitative evaluations of both cost-effectiveness and effectiveness of RC attendance in a broad sense (beyond attending courses alone). Moreover, we will gather data on a micro level (i.e., impact on RC students), meso level (i.e., organisational fidelity) and macro level (i.e., positioning in the care and support domain), capturing all important perspectives when scrutinizing the impact of complex systems. Finally, we will demonstrate the validity and value of embracing experiential knowledge in science as a complementary source of information, leading to a more profound understanding of what is researched.<br/