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- W601905962 abstract "In different fields of statistical physics, such as Id random field Ising models (RFIM) and neural networks, there appear discrete stochastic mappings of the form (1) $${x_n} = {f_n}({x_{n - 1}})$$ where f n(x) is chosen with equal probability from two functions fσ(x), σ = + or -, and 0 < f′ σ(x) ≤ 1. The dynamics is nonchaotic and, in a region of physical parameters, converges to a strange (fractal) attractor as may be visualized in Fig. 1. The mapping generates an invariant measure which undergoes, as parameters are changed, qualitative transitions, for instance, a transition from thin to fat multifractal." @default.
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- W601905962 date "1994-01-01" @default.
- W601905962 modified "2023-09-25" @default.
- W601905962 title "Multifractal Properties of Discrete Stochastic Mappings" @default.
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- W601905962 doi "https://doi.org/10.1007/978-1-4615-2460-1_49" @default.
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