Relations among conditional entropy, topological entropy and pointwise preimage entropy
Abstract. In this talk we first introduce new properties of pointwise preimage entropy which are defined by Hurley, Nitecki and Przytycki. Later we define new conditional topological and measure-theoretic preimage entropies and study their properties. Among other things we obtain analogs of the variational principle and Shannon-McMillan-Breiman theorem for these new invariants.