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EnglishAlthough we do not intend to give a general, formal definition, the stochastic mean-field dynamics we present in these notes can be conceived as the random evolution of a system comprised by N interacting components which is: (a) invariant in law for permutation of the components; (b) such that the contribution of each component to the evolution of any other is of order 1 1 N . The permutation invariance clearly does not allow any freedom in the choice of the geometry of the interaction; however, this is exactly the feature that makes these models analytically treatable, and therefore attractive for a wide scientific community.
| Titolo: | Stochastic Mean-Field Dynamics and Applications to Life Sciences |
| Autori: | DAI PRA, Paolo (Corresponding) |
| Data di pubblicazione: | 2019 |
| Serie: | |
| Abstract: | Although we do not intend to give a general, formal definition, the stochastic mean-field dynamics we present in these notes can be conceived as the random evolution of a system comprised by N interacting components which is: (a) invariant in law for permutation of the components; (b) such that the contribution of each component to the evolution of any other is of order 1 1 N . The permutation invariance clearly does not allow any freedom in the choice of the geometry of the interaction; however, this is exactly the feature that makes these models analytically treatable, and therefore attractive for a wide scientific community. |
| Handle: | http://hdl.handle.net/11562/1009644 |
| ISBN: | 978-3-030-15095-2 |
| Appare nelle tipologie: | 02.01 Contributo in volume (Capitolo o Saggio) |
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