We develop a space-time large-deviation point of view on Gibbs-non-Gibbs transitions in spin systems subject to a stochastic spinflip dynamics. Using the general theory for large deviations of functionals of Markov processes outlined in a recent book by Feng and Kurtz, we show that the trajectory under the spin-flip dynamics of the empirical measure of the spins in a large block in Z satisfies ...

We review a simple model of closed economy, where the economic agents make money transactions and a saving criterion is present. We observe the Gibbs distribution for zero saving propensity, and non-Gibbs distributions otherwise. While the exact solution in the case of zero saving propensity is already known to be given by the Gibbs distribution, here we provide the explicit analytical form of ...

*Correspondence: Rudolf A. Treumann, International Space Science Institute, Hallerstrasse 6, CH-3012 Bern, Switzerland e-mail: [email protected] We propose a generalization of Gibbs’ statistical mechanics into the domain of non-negligible phase space correlations. Derived are the probability distribution and entropy as a generalized ensemble average, replacing Gibbs-Boltzmann-Shannon’s entro...

We introduce a new objective function for pool-based Bayesian active learning with probabilistic hypotheses. This objective function, called the policy Gibbs error, is the expected error rate of a random classifier drawn from the prior distribution on the examples adaptively selected by the active learning policy. Exact maximization of the policy Gibbs error is hard, so we propose a greedy stra...

Using Sm-doped Ceria electrolytes (SDC) in SOFCs (solid oxide fuel cell), the open circuit voltage (OCV) becomes lower than the Nernst voltage (Vth), which is obtained using Yttria-stabilized Zirconia (YSZ) electrolytes. Classically, OCV is calculated with Wagner’s equation. However, experimental verification of leakage currents using SDC electrolytes is necessary, both qualitatively and quanti...

The Gibbs phenomenon appears in a discrete Fourier transform due to incomplete periodic@; i. * e., the waveform has not reached a full cycle within its period. Data flipping furnishes a complete periodic cycle to the waveform and thus suppresses the Gibbs phenomenon. This facilitates the design of a digital filter using fast Fourier transform without windowing. The filter does lowpass, bandpass...

Reflection is a vital skill in contemporary nursing with student nurses expected to engage in reflective learning from the very beginning of the nurse educational programme. This article demonstrates the meaningful learning that resulted as a consequence of using critical reflection on practice. Gibbs' (1988) cycle aided the process highlighting the practical application of this cyclical framew...

The particle Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm to sample from the full posterior distribution of a state-space model. It does so by executing Gibbs sampling steps on an extended target distribution defined on the space of the auxiliary variables generated by an interacting particle system. This paper makes the following contributions to the theoretical study of this a...

In geostatistics, Gaussian random fields are often used to model heterogeneities of soil or subsurface parameters. To give spatial approximations these fields, they discretized. Then, different techniques geostatistical inversion condition them on measurement data. Among techniques, Markov chain Monte Carlo (MCMC) stand out, because yield asymptotically unbiased conditional realizations. Howeve...

In this paper we study homogeneous Gibbs measures on a Cayley tree, subjected to an infinite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gibbs state (which in zero field is the free-boundary-condition Gibbs state) behaves different from the plus and the minus state. E.g. at large times, all configurations are bad for the intermediat...