12 citations · 29 across the 10 of their papers we have counts for
10 papers
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…
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…
A characterization of -limit sets in subshifts of Baire space
Jonathan Meddaugh, Brian Raines
In this paper we consider the structure of -limit sets in subshifts of Baire space. We consider both subshifts of finite type and subshifts of bounded type and we demonstrate th…
Homeomorphisms of unimodal inverse limit spaces with a non-recurrent postcritical point
Louis Block, James Keesling, Brian Raines +1
In this paper we show that the group of automorphisms of a non-recurrent tent map inverse limit is very simple by demonstrating that every homeomorphism of such a space is isotopic…
Countable inverse limits of postcritical ω-limit sets of unimodal maps
Chris Good, Robin Knight, Brian Raines
Let f be a unimodal map of the interval with critical point c. If the orbit of c is not dense then most points in lim{[0,1],f} have neighborhoods that are homeomorphic with the pro…
The specification property on a set-valued map and its inverse limit
Brian Raines, Tim Tennant
In this paper we consider dynamical properties of set-valued mappings and their implications on the associated inverse limit space. Specifically, we define the specification proper…