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

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Text this: The speed of a biased random walk on a galton-watson tree is analytic