| dc.contributor.author | Nualart, David | |
| dc.contributor.author | Merzbach, Ely | |
| dc.date.accessioned | 2015-03-12T16:13:49Z | |
| dc.date.available | 2015-03-12T16:13:49Z | |
| dc.date.issued | 1990-02-02 | |
| dc.identifier.citation | Merzbach, Ely; Nualart, David. Markov Properties for Point Processes on the Plane. Ann. Probab. 18 (1990), no. 1, 342--358. http://dx.doi.org/10.1214/aop/1176990952. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1808/17061 | |
| dc.description | This is the published version, also available here: http://dx.doi.org/10.1214/aop/1176990952. | en_US |
| dc.description.abstract | It is proved that for a wide class of point processes indexed by the positive quadrant of the plane, and for a class of compact sets in this quadrant, the germ σ-field is equal to the σ-field generated by the values of the process on the set. Therefore, there exists a large family of point processes in the plane (and among them the spatial Poisson process) which satisfy the sharp Markov property in the sense of P. Levy. The strong Markov property with respect to stopping lines is also studied. Some examples are obtained by taking transformations of the probability measure. | en_US |
| dc.publisher | Institute of Mathematical Statistics (IMS) | en_US |
| dc.subject | Point process | en_US |
| dc.subject | Markov processes | en_US |
| dc.subject | Markov property | en_US |
| dc.subject | germ o-field | en_US |
| dc.subject | Poisson sheet | en_US |
| dc.subject | strong Markov property | en_US |
| dc.subject | stopping line | en_US |
| dc.subject | absolutely continuous transformation | en_US |
| dc.title | Markov Properties for Point Processes on the Plane | en_US |
| dc.type | Article | |
| kusw.kuauthor | Nualart, David | |
| kusw.kudepartment | Mathematics | en_US |
| kusw.oanotes | On author's personal website or open access repository. On a non-profit server. Version must be exactly as published in the journal. Must link to publisher version. PDF of all published articles are automatically placed in archiv. Publisher's version/PDF may be used. NIH authors may post authors' own version in PubMed Central for release <num>12</num> <period units="month">months</period> after publication. | en_US |
| dc.identifier.doi | 10.1214/aop/1176990952 | |
| kusw.oaversion | Scholarly/refereed, publisher version | |
| kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
| dc.rights.accessrights | openAccess | |
