Abstract
In certain one-dimensional stochastic mappings a sharp drop of the Dq-spectrum
of fractal dimensions for negative values of q is observed at a spacial value of
the noise strength. This transition is connected to the vanishing of deep valleys
in the measure and can be understood by analyzing the contribution of periodic orbits.
A special example is given by the one-dimensional Ising model in a bimodal random
field.
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