Text this: Is the broad histogram random walk dynamics correct?

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