Non-sequential recursive pair substitutions and numerical entropy estimates in symbolic dynamical systems

Details Non-sequential recursive pair substitutions and numerical entropy estimates in symbolic dynamical systems Non-sequential recursive pair substitutions and numerical entropy estimates in symbolic dynamical systems

2008-09-08

arxiv.org/abs/0809.1342v2

Physics

Condensed Matter

Statistical Mechanics

v2: modifications to the numerical part and minor other changes

Scientific paper

We numerically test the method of non-sequential recursive pair substitutions to estimate the entropy of an ergodic source. We compare its performance with other classical methods to estimate the entropy (empirical frequencies, return times, Lyapunov exponent). We considered as a benchmark for the methods several systems with different statistical properties: renewal processes, dynamical systems provided and not provided with a Markov partition, slow or fast decay of correlations. Most experiments are supported by rigorous mathematical results, which are explained in the paper.

Affiliated with

Also associated with

No associations

Rating

Non-sequential recursive pair substitutions and numerical entropy estimates in symbolic dynamical systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-sequential recursive pair substitutions and numerical entropy estimates in symbolic dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-sequential recursive pair substitutions and numerical entropy estimates in symbolic dynamical systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30814