Chaos forgets and remembers: Measuring information creation, destruction, and storage

Chaos Forgets and Remembers: Measuring Information Creation, Destruction, and Storage

The hallmark of deterministic chaos is that it creates information—the rate being given by the Kolmogorov-Sinai metric entropy. Since its introduction half a century ago, the metric entropy has been used as a unitary quantity to measure a system’s intrinsic unpredictability. Here, we show that it naturally decomposes into two structurally meaningful components: A portion of the created informat...

Job Creation and Destruction

Destruction and Creation

To comprehend and cope with our environment we develop mental patterns or concepts of meaning. The purpose of this paper is to sketch out how we destroy and create these patterns to permit us to both shape and be shaped by a changing environment. In this sense, the discussion also literally shows why we cannot avoid this kind of activity if we intend to survive on our own terms. The activity is...

Measuring information storage and transfer in swarms

Spatial aggregation of animal groups give individuals many benefits that they would not be able to obtain otherwise. One of the key questions in the study of these animal groups, or “swarms”, concerns the way in which information is propagated through the group. In this paper, we examine this propagation using an information-theoretic framework of distributed computation. Swarm dynamics is inte...

Job Creation and Destruction : Evidence from Spain

In this paper we examine the effect of innovation on job creation and job destruction in Spanish manufacturing. Our empirical analysis is based on firm-level longitudinal data from which we have information on employment and innovation activity. The estimation approach consists of a two-step procedure that takes into account the fact that firms endogenously choose positive, negative or zero gro...