Hang-Hyun Jo, Raj Kumar Pan, Juan I. Perotti, Kimmo Kaski
Inhomogeneous temporal processes in natural and social phenomena have been described by bursts that are rapidly occurring events within short periods alternating with long periods of low activity. Such a temporal process can be decomposed into sub-processes, according to the contexts, i.e. circumstances in which the events occur. Then contextual bursts for each sub-process are related to context-blind bursts for the original process. This requires to study contextual bursts in real time-frame as well as in ordinal time-frame, where the real timings of events are replaced by their orders in the event sequence. By analyzing a model of uncorrelated inter-event times we find that contextual bursts in real time-frame can be dominated by either context-blind bursts or contextual bursts in ordinal time-frame, or be characterized by both. These results on the relevance of context and time-frame give insight into the origin of bursts.
View original:
http://arxiv.org/abs/1303.4882
No comments:
Post a Comment