The differential geometry of starfish cycles: A 20-year retrospective and open problems
After a discussion of “starfish politics” a survey of starfish outbreak models of the late 1980s is given. The role of differential geometry of the production of reef skeletons, originally used merely as a parameter reduction method for these many-parameter models, is shown to have evolved into a fu...
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| Veröffentlicht in: | Nonlinear analysis 2005-11, Vol.63 (5), p.948-957 |
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| container_title | Nonlinear analysis |
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| creator | Antonelli, P.L. |
| description | After a discussion of “starfish politics” a survey of starfish outbreak models of the late 1980s is given. The role of differential geometry of the production of reef skeletons, originally used merely as a parameter reduction method for these many-parameter models, is shown to have evolved into a fundamental method for modelling social structures and guilds. This, in turn, has spurred the development of Finsler diffusions and noise, as it is the Finsler geometries of reef production which encode these social structures. Finsler filtering problems are discussed and several open problems are stated. |
| doi_str_mv | 10.1016/j.na.2005.02.059 |
| format | Article |
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| ispartof | Nonlinear analysis, 2005-11, Vol.63 (5), p.948-957 |
| issn | 0362-546X 1873-5215 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Applications Biology, psychology, social sciences Differential geometry Ecology Exact sciences and technology Finsler geometry Geometry Mathematical analysis Mathematics Noise Probability and statistics Probability theory and stochastic processes Reefs Sciences and techniques of general use Starfish Statistics Stochastic processes |
| title | The differential geometry of starfish cycles: A 20-year retrospective and open problems |
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