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math.DS2023
Distributional Chaos in the Baire Space
Jasmin Mohn, Brian E. Raines
In this paper we consider the question of distributional chaos on non-compact metric dynamical systems. We focus on a shift space over a countable alphabet, the Baire Space. We pro…
math.DS2023
Specification and -chaos in non-compact systems
Cordell Hammon, Jonathan Meddaugh, Jasmin Mohn +1
In this paper, we demonstrate conditions under which a Lindelöf dynamical system exhibits -chaos. In particular, if a system exhibits a generalized version of the specification…
math.DS2012
The omega-limit sets of quadratic Julia sets
Andrew Barwell, Brian Raines
In this paper we characterize $\w$-limit sets of dendritic Julia sets for quadratic maps. We use Baldwin's symbolic representation of these spaces as a non-Hausdorff itinerary spac…