| bibtype |
J -
Journal Article
|
| ARLID |
0429073 |
| utime |
20240103204332.0 |
| mtime |
20140819235959.9 |
| WOS |
000341096600001 |
| SCOPUS |
84903279685 |
| DOI |
10.1214/EJP.v19-2904 |
| title
(primary) (eng) |
Subcritical contact processes seen from a typical infected site |
| specification |
| page_count |
46 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0041954 |
| ISSN |
1083-6489 |
| title
|
Electronic Journal of Probability |
| volume_id |
19 |
| volume |
1 (2014) |
| publisher |
| name |
Institute of Mathematical Statistics |
|
|
| keyword |
contact process |
| keyword |
exponential growth rate |
| keyword |
eigenmeasure |
| keyword |
Campbell law |
| keyword |
Palm law |
| keyword |
quasi-invariant law |
| author
(primary) |
| ARLID |
cav_un_auth*0244526 |
| name1 |
Sturm |
| name2 |
A. |
| country |
DE |
| share |
50 |
|
| author
|
| ARLID |
cav_un_auth*0217893 |
| name1 |
Swart |
| name2 |
Jan M. |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| institution |
UTIA-B |
| full_dept |
Department of Stochastic Informatics |
| share |
50 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GA201/09/1931 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0254026 |
|
| project |
| project_id |
GAP201/12/2613 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0291241 |
|
| abstract
(eng) |
What is the long-time behavior of the law of a contact process started with a single infected site, distributed according to counting measure on the lattice? This question is related to the configuration as seen from a typical infected site and gives rise to the definition of so-called eigenmeasures, which are possibly infinite measures on the set of nonempty configurations that are preserved under the dynamics up to a time-dependent exponential factor. In this paper, we study eigenmeasures of contact processes on general countable groups in the subcritical regime. We prove that in this regime, the process has a unique spatially homogeneous eigenmeasure. As an application, we show that the law of the process as seen from a typical infected site, chosen according to a Campbell law, converges to a long-time limit. |
| reportyear |
2015 |
| RIV |
BA |
| num_of_auth |
2 |
| mrcbC52 |
4 A 4a 20231122140304.0 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0235490 |
| confidential |
S |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-j |
1.381 |
| mrcbT16-s |
1.704 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
70.138 |
| mrcbT16-C |
41.393 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2014 |
| mrcbTft |
\nSoubory v repozitáři: swart-0429073.pdf |
| mrcbU14 |
84903279685 SCOPUS |
| mrcbU34 |
000341096600001 WOS |
| mrcbU63 |
cav_un_epca*0041954 Electronic Journal of Probability 1083-6489 1083-6489 Roč. 19 č. 1 2014 , 53-1-53-46 Institute of Mathematical Statistics |
|