Approximate Distribution of Hitting Probabilities for a Regular Surface with Compact Support in 2D
| dc.creator | Grebenkov, D. S. | |
| dc.date | 2001-11-02 | |
| dc.date | 2002-01-18 | |
| dc.date.accessioned | 2026-07-07T06:32:52Z | |
| dc.date.available | 2026-07-07T06:32:52Z | |
| dc.description | Generalizing the well-known relations on characteristic functions on a plane to the case of a one-dimensional regular surface (curve) with compact support, we establish implicit equations for these functions. Introducing an approximation, we solve the combinatorial problems and reduce these equations to a set of linear equations for a finite number of unknown functions. Imposing natural conditions, we obtain a closed system of linear equations which can be solved for a given surface. Its solutions can be used to calculate the distribution of hitting probabilities for a regular surface with compact support. In order to verify the accuracy of the approximate distribution of hitting probabilities, numerical analysis is being made for a chosen surface. | |
| dc.description | 19 pages, 3 figures, 2 tables; Corrected version | |
| dc.identifier | https://arxiv.org/abs/math/0111024 | |
| dc.identifier | http://arxiv.org/abs/math/0111024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99004 | |
| dc.subject | Probability | |
| dc.title | Approximate Distribution of Hitting Probabilities for a Regular Surface with Compact Support in 2D | |
| dc.type | text |