S. Schmieding

activity

20152022

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6 papers · 1 filter

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.DS2021

Local finiteness and automorphism groups of low complexity subshifts

Ronnie Pavlov, Scott Schmieding

We prove that for any transitive subshift $X$ with word complexity function $c_{n} (X)$ , if $lim inf \frac{l o g ( c _{n} ( X ) / n )}{l o g l o g l o g n} = 0$ , then the quotient group $\textrm{Au…

math.DS2020

Local $P$ entropy and stabilized automorphism groups of subshifts

Scott Schmieding

For a homeomorphism $T : X \to X$ of a compact metric space $X$ , the stabilized automorphism group $Aut^{(\infty)} (T)$ consists of all self-homeomorphisms of $X$ which…

math.DS2020

The stabilized automorphism group of a subshift

Yair Hartman, Bryna Kra, Scott Schmieding

For a mixing shift of finite type, the associated automorphism group has a rich algebraic structure, and yet we have few criteria to distinguish when two such groups are isomorphic…

math.DS2018

The Mapping Class Group of a Minimal Subshift

Scott Schmieding, Kitty Yang

For a homeomorphism $T : X \to X$ of a Cantor set $X$ , the mapping class group $M (T)$ is the group of isotopy classes of orientation-preserving self-homeomorphisms o…