Harnack inequalities and difference estimates for random walks with infinite range |
| |
| Authors: | Gregory F Lawler Thomas W Polaski |
| |
| Institution: | (1) Department of Mathematics, Duke University, Box 90320, 27708-0320 Durham, North Carolina, USA;(2) Department of Mathematics, Winthrop University, 29733 Rock Hill, South Carolina, USA |
| |
| Abstract: | Difference estimates and Harnack inequalities for mean zero, finite variance random walks with infinite range are considered. An example is given to show that such estimates and inequalities do not hold for all mean zero, finite variance random walks. Conditions are then given under which such results can be proved.Research supported by the National Science Foundation. |
| |
| Keywords: | Random walk harmonic functions difference equations Harnack inequality |
| 本文献已被 SpringerLink 等数据库收录！ |
|
