There's no need to reinvent solutions. The problem has already been given a proper mathematical treatment: http://www-history.mcs.st-and.ac.uk/Extras/Spitzer_l

There's no need to reinvent solutions. The problem has already been given a proper mathematical treatment: http://www-history.mcs.st-and.ac.uk/Extras/Spitzer_lion.html http://www-history.mcs.st-and.ac.uk/Extras/Spitzer_lion.html