Survey of odometers and Toeplitz flows

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G‐odometers and their almost one‐to‐one extensions (2006, methodology): “Toeplitz flows have been extensively studied in different contexts and they have been used to provide series of examples with interesting dynamical properties (see, for example, [3, 5, 14]).”
On automorphism groups of low complexity subshifts (2015, background): “Similarly, Toeplitz subshifts are symbolic almost one-to-one extensions of odometers (see [15]), hence odometers are their maximal 1-step nilsystems.”
Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy (2014, background): “Toeplitz subshifts are precisely the minimal subshifts that are almost one–one extensions of odometers (for Z+-actions, see [9]; for finitely generated discrete group actions, see [8]).”
Entropy in dynamical systems (2003, background): “The reader can find more about Toeplitz systems in [Downarowicz, 2005b].”
Analogues of Auslander–Yorke theorems for multi-sensitivity (2015, methodology): “See [10] for the construction of such a system.”
The Chowla and the Sarnak conjectures from ergodic theory point of view (2014, background): “In Section 7, we deal with Toeplitz sequences [8], [12] over the alphabet {−1, 0, 1}.”