On Instability of the Ergodic Limit Theorems with Respect to Small Violations of Algorithmic Randomness

Details On Instability of the Ergodic Limit Theorems with Respect to Small Violations of Algorithmic Randomness On Instability of the Ergodic Limit Theorems with Respect to Small Violations of Algorithmic Randomness

2011-05-21

arxiv.org/abs/1105.4274v1

Computer Science

Information Theory

6 pages

Scientific paper

An instability property of the Birkhoff's ergodic theorem and related
asymptotic laws with respect to small violations of algorithmic randomness is
studied. The Shannon--McMillan--Breiman theorem and all universal compression
schemes are also among them.

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