Quantifying evenly distributed states in exclusion and nonexclusion processes

Quantifying evenly distributed states in exclusion and nonexclusion processes.

Spatial-point data sets, generated from a wide range of physical systems and mathematical models, can be analyzed by counting the number of objects in equally sized bins. We find that the bin counts are related to the Pólya distribution. New measures are developed which indicate whether or not a spatial data set, generated from an exclusion process, is at its most evenly distributed state, the ...

Exclusion processes with internal states.

We introduce driven exclusion processes with internal states that serve as generic transport models in various contexts, ranging from molecular or vehicular traffic on parallel lanes to spintronics. The ensuing nonequilibrium steady states are controllable by boundary as well as bulk rates. A striking polarization phenomenon accompanied by domain wall motion and delocalization is discovered wit...

The Inclusion-Exclusion Principle for IF-States

Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...

Quantifying design exclusion

On hypergraphs having evenly distributed subhypergraphs

Chung, F.R.K. and R.L. Graham, On hypergraphs having evenly distributed subhypergraphs, Discrete Mathematics 111 (1993) 125-129.