Proof of non-recurrence for d-dimensional(d≥3) symmetric random walks
Ling Tang · Journal of Hefei University of Technology · 2009
The random walk model is a kind of inspirational mathematic model and has wide application in many science fields such as physics,chemistry,astronomy,predication of stock market,etc.The recurrence is an important property of random walks.The recurrence problem of symmetric random walks is studied in the paper.It is proved that all d-dimensional(d≥3) symmetric random walks,which are different from the one-dimensional or two-dimensional,are non-recurrent.The conclusion solves the recurrence problem of all symmetric random walks.