Dynamical Systems Seminar: Ryan James, Research Associate
Chaos Forgets and Remembers: Measuring Information Creation, Destruction, and Storage Ìý
Ryan James, Research Associate
Computer Science,Ìý
Date and time:Ìý
Thursday, October 3, 2013 - 2:00pm
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ECCR 257
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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 information — the ephemeral information — is forgotten and a portion — the bound information — is remembered. The bound information is a new kind of intrinsic computation that differs fundamentally from information creation: it measures the rate of active information storage. We show that it can be directly and accurately calculated via symbolic dynamics, revealing a hitherto unknown richness in how dynamical systems compute.