12 citations · 29 across the 10 of their papers we have counts for
9 papers · 1 filter
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…