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arXiv · 0904.3122

Scaling of Ergodicity in Binary Systems

M. Süzen
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Abstract

Given pseudo-random binary sequence of length $L$, assuming it consists of $k$ sub-sequences of length $N$. We estimate how $k$ scales with growing $N$ to obtain a {\it limiting} ergodic behaviour, to fulfill the basic definition of ergodicity (due to Boltzmann). The average of the consecutive sub-sequences plays the role of time (temporal) average. This average then compared to ensemble average to estimate quantitative value of a simple metric called Mean Ergodic Time (MET), when system is ergodic.

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M. Süzen. 2009-04-20. Scaling of Ergodicity in Binary Systems. https://arxiv.org/abs/0904.3122

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