The past couple of decades has seen significant progress in the theory of stratified spaces through the application of controlled methods as well as through the applications of intersection homology. In this paper we will give a cursory introduction to this material, hopefully whetting your appetite to peruse more thorough accounts. In more detail, the contents of this paper are as follows: the...

Article history: Received 29 June 2007 Revised 16 February 2008 Available online 7 June 2008 We introduce locally stratified Boolean grammars, a natural subclass of Boolean grammars with many desirable properties. Informally, if a grammar is locally stratified then the set of all pairs of the form (nonterminal, string) of the grammar can be mapped to a (possibly infinite) set of strata so as th...

We present the results of an experimental investigation of the flows generated by monodisperse particles settling at low Reynolds number in a stably stratified ambient with an inclined sidewall. In this configuration, upwelling beneath the inclined wall associated with the Boycott effect is opposed by the ambient density stratification. The evolution of the system is determined by the relative ...

We introduce a subclass of Valk's self-modifying nets. The considered nets appear as statiied sums of ordinary nets and they arise as a counterpart to cascade products of automata via the duality between automata and nets based on regions in automata. Nets in this class, called stratiied nets, cannot exhibit circular dependences between places: inscription on ow arcs attached to a given place, ...

We construct natural equivalences between derived categories of coherent sheaves on the local models for stratified Mukai or Atiyah flops (of type A).

The art of predicting the results of any drug treatment has always been a topic of interest among the scientific community across the globe. Many diseases have been attributed to gene defects, giving rise to a whole new field of pharmacogenomics within the domain of clinical pharmacology. Stratified medicine is the science of associating such diseases with genetic defects and predicting the eff...