On the critical exponent for random walk intersections |
| |
| Authors: | Krzysztof Burdzy Gregory F Lawler Thomas Polaski |
| |
| Institution: | (1) Department of Mathematics, University of Washington, 98195 Seattle, Washington;(2) Department of Mathematics, Duke University, 27706 Durham, North Carolina |
| |
| Abstract: | The exponent 
d
for the probability of nonintersection of two random walks starting at the same point is considered. It is proved that 1/2<2 3/4. Monte Carlo simulations are done to suggest 2=0.61 and 3 0.29. |
| |
| Keywords: | Random walks intersections critical exponents |
| 本文献已被 SpringerLink 等数据库收录！ |
