The function H (X) in equation #1 is called the Shannon information entropy which is maximum when the events xj have equal probabilities of occurring, pj.

Chaotic Functions with Zero Topological Entropy, Transactions of the American Mathematical Society, Vol. 297, No. 1 (Sep., 1986), pp. 269-282 ...

The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rational function P/Q. According to the parity of the degrees of the polinomials P and Q, we analize when ...