糖心TV Complexity Science Events
Complexity Centre and MathSys CDT events carry priority over room D1.07.
To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
Complexity Forum: Marina Diakonova (糖心TV)
Speaker: Marina Diakonova (糖心TV Centre for Complexity Science)
Title: PMI in the Logistic and Standard Maps
Abstract:
Labeling a system as 'complex' typically carries an implication that its behaviour adheres to some common intuitive notions. One of the main challenges in the theory of complexity is to put this on a firmer basis by establishing quantifiers of these phenomena. The approach currently prevalent in literature is that of computation mechanics, developed by P. Grassberger and J. Crutchfield. Yet some of these methods require searching for causal states which in non trivially- sized systems can be computationally intensive. Our proposal is to examine systems from the standpoint of Persistent Mutual Information, that is the amount of information common to the past and some remote enough future. This framework encapsulates the idea of forseability, and thus leads directly to the notion of Strong Emergence. Using the Logistic and Standard Maps we explore various features of behaviour that get picked out by PMI. We find that periodicities get singled out from the chaotic background of the Logistic Map. In the Standard Map, where chaos spreads as nonlinearity increases and the KAM tori break down, PMI grows with resolution, and suggests the presence of fractal scaling.
Lunch: group 2