A non-integral-dimensional random walk |
| |
| Authors: | Damon Scott |
| |
| Affiliation: | (1) Department of Mathematics, Duke University, 27706 Durham, North Carolina;(2) Present address: Department of Mathematics and Computer Science, Pacific Lutheran University, 98447 Tacoma, Washington |
| |
| Abstract: | We present a space-homogeneous, time-inhomogeneous random walk that behaves as if it were a simple random walk ind dimensions, whered is not necessarily an integer. Analogues of the Local Central Limit Theorem, Zero-One Laws, distance, angle, asymptotics on the Green's function and the hitting probability, recurrence and transience, and results about the intersection behavior of the random walk paths are obtained. |
| |
| Keywords: | Random Walk non-integral-dimensional |
| 本文献已被 SpringerLink 等数据库收录！ |
|
