Entropy and Its Variational Principle for Product Type Dynamical Systems

TL;DR

This paper discusses entropy and variational principles in product type dynamical systems but contains a flaw related to measure convergence, leading to a replacement paper on locally compact systems.

Contribution

It introduces a variational principle for entropy in product type dynamical systems, though the original paper has been replaced due to a flaw.

Findings

Identifies a flaw in the original argument involving weak-* convergence

Provides a corrected approach in the replacement paper

Contributes to the theoretical understanding of entropy in dynamical systems

Abstract

This paper has a flaw in an argument that uses the weak-* convergence of measures. The paper was replaced by "Entropy and Its Variational Principle for Locally Compact Metrizable Systems", by the same authors.