Text this: Mixing properties and entropy bounds of a family of Pisot random substitutions

  _____     _____     _  __     ___      _  _   
 / ____||  |  ___||  | |/ //   / _ \\   | \| || 
/ //---`'  | ||__    | ' //   | / \ ||  |  ' || 
\ \\___    | ||__    | . \\   | \_/ ||  | .  || 
 \_____||  |_____||  |_|\_\\   \___//   |_|\_|| 
  `----`   `-----`   `-` --`   `---`    `-` -`