Examples of automorphic

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We next characterize the maximal automorphic factor of f if f has an attractor of type (1) or (2).
We define the frequency module of an almost automorphic minimal set as the dual group of its maximal almost periodic factor.
This last theory is suitable for the study of automorphic line bundles.
Almost automorphic functions and flows play an important role in characterizing the recurrence, randomness and complexity of dynamical systems.
It can be regarded as a reciprocity law between automorphic spectra on different groups.
Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces.
In order to characterize almost automorphic symbolic lattice minimal flows, we generalize the concept of separating covers to d -fold monothetic groups.
Further motivation for this study stems from the problem of constructing almost automorphic chaotic signals.
We now discuss spatial chaos responding to the onset of almost automorphic dynamics.
The complexity of almost automorphic dynamics has mainly been studied for symbolic flows.
Every almost periodic function is almost automorphic, but the converse does not hold in general.
We exhibit the easily identified maximal automorphic factor in the presence of either a stable periodic orbit or a cycle of intervals (finitely renormalizable).
The general theory of arithmetic characteristic classes of automorphic vector bundles of arbitrary rank is developed in [19].
This latter theory is suitable for the study of automorphic line bundles.
Further calculations in this direction for other naturally metrized automorphic line bundles have been made in [12].

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