Abstract: 

In this talk I will present results on the continuum Widom-Rowlinson model under independent spin-flip dynamics. The main interest lies in the analysis whether and when the time-evolved point process has an (almost) quasilocal specification, i.e., the Gibbs-property of the time-evolved measure. This study provides a first analysis of a Gibbs-non-Gibbs transition for point particles in Euclidean space. We find a picture of loss and recovery, in which even more regularity is lost faster than it is for time-evolved spin models on lattices. The model exhibts immediate loss of quasilocality in the percolation regime, with full measure of discontinuity points for any specification. For the color-asymmetric percolating model, there is a transition from this non-almost sure quasilocal regime back to an everywhere Gibbsian regime. At the sharp reentrance time $t_G>0$ the model is almost sure quasilocal. For the color-symmetric model there is no reentrance. On the constructive side, for all $t>t_G$, we provide everywhere quasilocal specifications for the time-evolved measures and give precise exponential estimates on the influence of boundary conditions. This is joint work with Christof Külske from the Ruhr-University Bochum.