Entropy pairs of $\Bbb Z^2$ and their directional properties
Volume 165 / 2004
                    
                    
                        Studia Mathematica 165 (2004), 255-274                    
                                        
                        MSC: Primary 37A25, 37A35, 37B40.                    
                                        
                        DOI: 10.4064/sm165-3-4                    
                                    
                                                Abstract
Topological and metric entropy pairs of ${\mathbb Z}^2$-actions are defined and their properties are investigated, analogously to ${\mathbb Z}$-actions. In particular, mixing properties are studied in connection with entropy pairs.