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2019 | OriginalPaper | Chapter

Stochastic Mean-Field Dynamics and Applications to Life Sciences

Author : Paolo Dai Pra

Published in: Stochastic Dynamics Out of Equilibrium

Publisher: Springer International Publishing

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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 \(\frac{1}{N}\). 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.

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next chapter Alignment of Self-propelled Rigid Bodies: From Particle Systems to Macroscopic Equations
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Metadata
Title
Stochastic Mean-Field Dynamics and Applications to Life Sciences
Author
Paolo Dai Pra
Copyright Year
2019
Book
Stochastic Dynamics Out of Equilibrium

Print ISBN: 978-3-030-15095-2

Electronic ISBN: 978-3-030-15096-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-15096-9_1

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