Jie Li, Ruifeng Zhang
Published 2015-03-11Version 1
We study a class of generalized expansive dynamical systems for which at most countable orbits can be accompanied by an arbitrary given orbit. Examples of different levels of generalized expansiveness are constructed. When the dynamical system is countable, a characterization of n-expansiveness is given for any natural number n, and as a consequence examples of dynamical systems with van der Waerden depth equal to any given countable ordinal are demonstrated, which solves open questions existing in the literature.
On projections onto odometers of dynamical systems with the compact phase space
On entropy of dynamical systems with almost specification
Limit and end functors of dynamical systems via exterior spaces
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