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2017 | OriginalPaper | Buchkapitel

38. Comparing Symmetries in Models and Simulations

verfasst von : Giuseppe Longo, Maël Montévil

Erschienen in: Springer Handbook of Model-Based Science

Verlag: Springer International Publishing

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Abstract

Computer simulations brought remarkable novelties to knowledge construction. In this chapter, we first distinguish between mathematical modeling, computer implementations of these models and purely computational approaches. In all three cases, different answers are provided to the questions the observer may have concerning the processes under investigation. These differences will be highlighted by looking at the different theoretical symmetries of each frame. In the latter case, the peculiarities of agent-based or object oriented languages allow to discuss the role of phase spaces in mathematical analyses of physical versus biological dynamics. Symmetry breaking and randomness are finally correlated in the various contexts where they may be observed.

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Metadaten
Titel
Comparing Symmetries in Models and Simulations
verfasst von
Giuseppe Longo
Maël Montévil
Copyright-Jahr
2017
Verlag
Springer International Publishing
DOI
https://doi.org/10.1007/978-3-319-30526-4_38