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math.DS2022
On the structure of generic subshifts
Ronnie Pavlov, Scott Schmieding
We investigate generic properties (i.e. properties corresponding to residual sets) in the space of subshifts with the Hausdorff metric. Our results deal with four spaces: the space…
math.DS2022★ 4 cited
Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups
Robert Bland, Kevin McGoff, Ronnie Pavlov
In this work we study the entropies of subsystems of shifts of finite type (SFTs) and sofic shifts on countable amenable groups. We prove that for any countable amenable group ,…
math.DS2022
Measure-Theoretically Mixing Subshifts with Low Complexity
Darren Creutz, Ronnie Pavlov, Shaun Rodock
We introduce a class of rank-one transformations, which we call extremely elevated staircase transformations. We prove that they are measure-theoretically mixing and, for any $f :…