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arXiv · 1001.1433

Relative complexity of random walks in random sceneries

Jon Aaronson
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Abstract

Relative complexity measures the complexity of a probability preserving transformation relative to a factor being a sequence of random variables whose exponential growth rate is the relative entropy of the extension. We prove distributional limit theorems for the relative complexity of certain zero entropy extensions: RWRSs whose associated random walks satisfy the α-stable CLT ($1<α\le2$). The results give invariants for relative isomorphism of these.

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Jon Aaronson. 2012-10-29. Relative complexity of random walks in random sceneries. https://doi.org/10.1214/11-aop688

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