Complexity, Entropy, and Markov Chains
High Energy Physics - Theory
2019-02-28 v1 Statistical Mechanics
Quantum Physics
Abstract
We develop a theory of classical complexity. We study the relations between classical complexity and entropy, and conjecture that in an isolated system, classical absolute complexity always tends to grow, until it reaches its maximum. We calculate some exact closed-form expressions of the growth of average classical complexity over time in some concrete models, and gain further insights of both classical and quantum complexity by using the theory of Markov chains.
Cite
@article{arxiv.1902.10538,
title = {Complexity, Entropy, and Markov Chains},
author = {Zhou Shangnan},
journal= {arXiv preprint arXiv:1902.10538},
year = {2019}
}
Comments
20 pages, 6 figures