I was just reading up on scene separators. An asterisk/bullet point is a dinkus, a floral one is a fleuron, and any other fancy one is a dingbat (1920s slang for a whatchamacallit). The Langdon Home for Malevolent Livestock collection will use tiny animals that change base on who's in the story!
Why you should use a PHYSICAL scene separator (e.g. asterisks) in your books instead of an empty space: 1) Some ereader / app somewhere may simply not show the empty space. 2) Some people read on devices with the text REALLY BIG. Your chance of the empty space being at the end of the screen is...