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The difference between the two entropies is a measure of the structure imposed upon the spike train by the original stimulus.
We also recall how these entropies are related.
Recently, the pre-image structure of maps has become deeply characterized via entropies (see [4-9]).
In particular, it is easy to see that for locally symmetric metrics both entropies coincide.
The entropies of the two sets of spike trains, which we term "repeated" and "rerandomized," were calculated as a function of time as follows.
The relations between these entropies are explained.
The following statement will allow us to estimate the topological entropies of the sets from below, without constructing probability measures, which are invariant and concentrated on a given set.
Multifractal analysis of local entropies for expansive homeomorphisms with specification.
Calculations of activation entropies of chemical reactions in solution.
The topological entropy (see [1]) is a well-known quantitative measure of the dynamical complexity of a model.
The entropy of a skew product of measure preserving transformations.
Right-closing factor maps are bounded-to-one and hence preserve topological entropy.
The volume entropy can be normalized by the volume.
Other similar bounds on the entropy have been established in [10] for systolically extremal surfaces (see [16] for a generalization in higher dimension).
Since the system has finite entropy log h, the number of cylinders of length n is bounded above by hn (see [6, p. 213]).