González Casanova, Adrián and Kurt, Noemi and Tóbiás, András József (2021) Particle systems with coordination. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 18 (2). ISSN 1980-0436
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Abstract
We consider a generalization of spatial branching coalescing processes in which the behaviour of individuals is not (necessarily) independent, on the contrary, individuals tend to take simultaneous actions. We show that these processes have moment duals, which happen to be multidimensional diffusions with jumps. Moment duality provides a general framework to study structural properties of the processes in this class. We present some conditions under which the expectation of the process is not affected by coordination and comment on the effect of coordination on the variance. We analyse several examples in more detail, including the nested coalescent, the peripatric coalescent with selection and coordinated migration, and the Parabolic Anderson Model.
| Item Type: | Article |
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| Additional Information: | Universidad Nacional Autónoma de México, IMATE campus CU, 04510, Mexico TU Berlin, Straße des 17,Juni 136, Berlin, 10623, Germany Export Date: 18 August 2025; Cited By: 2; Correspondence Address: A.G. Casanova; Universidad Nacional Autónoma de México, IMATE campus CU, 04510, Mexico; email: adriangcs@matem.unam.mx |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Sep 2025 08:09 |
| Last Modified: | 04 Sep 2025 08:09 |
| URI: | https://real.mtak.hu/id/eprint/223391 |
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