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

 _____      _____                ___     ______   
|  __ \\   |  ___||   ____      / _ \\  |      \\ 
| |  \ ||  | ||__    |    \\   | / \ || |  --  // 
| |__/ ||  | ||__    | [] ||   | \_/ || |  --  \\ 
|_____//   |_____||  |  __//    \___//  |______// 
 -----`    `-----`   |_|`-`     `---`   `------`  
                     `-`