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cs.IT2014
Ornstein Isomorphism and Algorithmic Randomness
Mrinalkanti Ghosh, Satyadev Nandakumar, Atanu Pal
In 1970, Donald Ornstein proved a landmark result in dynamical systems, viz., two Bernoulli systems with the same entropy are isomorphic except for a measure 0 set. Keane and Smoro…
cs.IT2012★ 2 cited
Predictive Complexity and Generalized Entropy Rate of Stationary Ergodic Processes
Mrinalkanti Ghosh, Satyadev Nandakumar
In the online prediction framework, we use generalized entropy of to study the loss rate of predictors when outcomes are drawn according to stationary ergodic distributions over th…