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One challenge of biology, medicine, and economics is that the systems treated by these sciences have no perfect metronome in time and no perfect spatial architecture – crystalline or otherwise. Nonetheless, as if by magic, out of nothing but randomness one finds remarkably fine-tuned processes in time and remarkably fine-tuned structures in space. To understand this ‘miracle’, one might conside...

We analyze the data of a questionnaire which students filled out after participating in a principal-agent experiment featuring a single principal and two agents. Each agent’s choice of (costly) effort determines a return that is split between principal and the respective agent according a payment rule which the parties have agreed upon previously. Güth et al. (2001) show that the observed distr...

We study, by means of three-dimensional Monte Carlo simulations, the currentvoltage (IV) characteristics and the voltage noise spectrum at low temperatures of driven magnetic flux lines interacting with randomly placed point or columnar defects, as well as with periodically arranged linear pinning centers. Near the depinning current Jc, the voltage noise spectrum S(ω) universally follows a 1/ω ...

In this paper we consider a continuous almost periodically correlated process {X(t), t ∈ R} that is observed at the jump moments of a stationary Poisson point process {N(t), t ≥ 0}. The processes {X(t), t ∈ R} and {N(t), t ≥ 0} are assumed to be independent. We define the kernel estimators of the Fourier coefficients of the autocovariance function of X(t) and investigate their asymptotic proper...

Brownian transport of self-propelled overdamped microswimmers (like Janus particles) in a two-dimensional periodically compartmentalized channel is numerically investigated for different compartment geometries, boundary collisional dynamics, and particle rotational diffusion. The resulting time-correlated active Brownian motion is subject to rectification in the presence of spatial asymmetry. W...

ERGs and the azide responses were recorded from mice before and periodically up to 6 weeks after retinal pigment epithelium (RPE) damage by iodate injection to follow the recovery of retinal pigment epithelium and retinal function. At 14 days postinjection, there was a partial recovery of the maximal b-wave amplitude and the azide response but no further recovery was found after 14 days. The re...

This work deals with the limiting distribution of the least squares estimators of the coefficients ar of an explosive periodic autoregressive of order 1 (PAR(1)) time series Xr = arXr−1+ur when the innovation {uk} is strongly mixing. More precisely {ar} is a periodic sequence of real numbers with period P > 0 and such that ∏P r=1 |ar| > 1. The time series {ur} is periodically distributed with t...

We show that the electronic dynamics in a molecule driven by a strong field is complex and potentially even counterintuitive. As a prototype example, we simulate the interaction of a dissociating H2+ molecule with an intense infrared laser pulse. Depending on the laser intensity, the direction of the electron's motion between the two nuclei is found to follow or oppose the classical laser-elect...

We consider compressed acquisition and progressive reconstruction of spatially and temporally correlated data in wireless sensor networks (WSNs). We propose a novel, sliding window based compressed sensing (CS) method in which the sink can instantaneously reconstruct WSN samples from periodically acquired CS measurements. Moreover, the prior information attained by decoding the WSN readings mul...