In this paper, we consider a sufficiently broad class of non-linear mathematical programs with disjunctive constraints, which, e.g. include mathematical programs with complemetarity/vanishing constraints. We present an extension of the concept of [Formula: see text]-stationarity which can be easily combined with the well-known notion of M-stationarity to obtain the stronger property of so-calle...

We consider optimization problems with a disjunctive structure of the constraints. Prominent examples of such problems are mathematical programs with equilibrium constraints or vanishing constraints. Based on the concepts of directional subregularity and their characterization by means of objects from generalized differentiation, we obtain the new stationarity concept of extended M-stationarity...

We study the notion of tightly stationary sets which was introduced by Foreman and Magidor in [8]. We obtain two consistency results which show that it is possible for a sequence of regular cardinals hnin<! to have the property that for every sequence ~ S, of some fixed-cofinality stationary sets Sn ✓ n, ~ S is tightly stationary in a generic extension. The results are obtained using variatio...

This note establishes stationarity of a number of stochastic processes of interest in the study of Transport Protocols. For many of the processes studied in this note stationarity had been established before, but for one class the result is new. For that class, it was counterintuitive that stationarity was hard to prove. This note also explains why that class offered such stiff resistance. The ...

Recent analyses have claimed the possible presence of non-stationarity, produced by the presence of either trend or long-term climatic fluctuations, in some historical hydrometeorological records observed in Europe as well as in other countries. Such non-stationarity might exert a remarkable effect on the estimation of the frequency distribution of the extreme events. However, it is well known ...

Economic integration, globalization and financial crises represent examples of processes whose understanding requires the analysis of the underlying network structure. Of particular interest is establishing whether a real economic network is in a state of (quasi) stationary equilibrium, i.e. characterized by smooth structural changes rather than abrupt transitions. While in the former case the ...