Although it replaces the cell phone, you cannot call the players and gym leaders recorded in this list. Instead there is a notification beside their names alerting you when they want a rematch. Gym Leaders cannot be refought and you will only start receiving rematch notifications after you get your fifth badge. The more frequently you show up in a specific trainer's location, the more often they will be prepared for battle. In addition to these features you also can learn fun facts about each trainer's personality and battle style through the notes kept.