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Answer by Bjørn Kjos-Hanssen for Limiting Entropy of deterministic sequences - 1
Regarding (2), the answer seems to be no by the reasoning at Entropy difference dominance of sequencesThat is, the limiting entropy can be that of the geometric distribution, which is finite.The...
View ArticleLimiting Entropy of deterministic sequences - 1
Consider a collection of increasing positive integers $\{a_i\}_{i=1}^m$. Consider distribution $p_i=\frac{a_i}{\sum_{i=1}^ma_i}$. Given $\{a_i\}_{i=1}^m$, let $\mathcal{P}_{a,m}$ be distribution at...
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