Renormalization analysis of catalytic Wright-Fisher diffusions
| dc.creator | Fleischmann, K. | |
| dc.creator | Swart, J. M. | |
| dc.date | 2005-06-15 | |
| dc.date.accessioned | 2026-07-07T06:33:38Z | |
| dc.date.available | 2026-07-07T06:33:38Z | |
| dc.description | Recently, several authors have studied maps where a function, describing the local diffusion matrix of a diffusion process with a linear drift towards an attraction point, is mapped into the average of that function with respect to the unique invariant measure of the diffusion process, as a function of the attraction point. Such mappings arise in the analysis of infinite systems of diffusions indexed by the hierarchical group, with a linear attractive interaction between the components. In this context, the mappings are called renormalization transformations. We consider such maps for catalytic Wright-Fisher diffusions. These are diffusions on the unit square where the first component (the catalyst) performs an autonomous Wright-Fisher diffusion, while the second component (the reactant) performs a Wright-Fisher diffusion with a rate depending on the first component through a catalyzing function. We determine the limit of rescaled iterates of renormalization transformations acting on the diffusion matrices of such catalytic Wright-Fisher diffusions. | |
| dc.description | 65 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0506311 | |
| dc.identifier | http://arxiv.org/abs/math/0506311 | |
| dc.identifier | Electronic J. Probab. 11 (2006) paper no. 25, 585-654 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99263 | |
| dc.subject | Probability | |
| dc.subject | 82C28 (Primary) 82C22, 60J60 (Secondary) | |
| dc.title | Renormalization analysis of catalytic Wright-Fisher diffusions | |
| dc.type | text |