S. Schmieding

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math.DS2026

Invariant random compacts

Bryna Kra, Scott Schmieding

For a compact metric space $X$ with a group $G$ acting on it continuously, an invariant random compact is a Borel probability measure on the space of nonempty compact subsets of $X…

math.DS2025

Finitary Ryan's and local $Q$ entropy for $Z^{d}$ subshifts

Ville Salo, Scott Schmieding

For the action of a group $G$ by homeomorphisms on a space $X$ , the automorphism group $Aut (X, G)$ consists of all self-homeomorphisms of $X$ which commute with $x \mapsto…

math.DS2025

Isogenies of minimal Cantor systems: from Sturmian to Denjoy and interval exchanges

Scott Schmieding, Christopher-Lloyd Simon

This work is motivated by the study of continued fraction expansions of real numbers: we describe in dynamical terms their orbits under the action of $PGL_{2} (Q)$ .…

math.DS2024

Hyperspatiality for isomorphisms of stabilized automorphism groups of shifts of finite type

Jeremias Epperlein, Scott Schmieding

Given a homeomorphism $T : X \to X$ of a compact metric space $X$ , the stabilized automorphism group $Aut^{\infty} (T)$ of the system $(X, T)$ is the group of self-home…

math.DS2024

Chaotic almost minimal actions

Van Cyr, Bryna Kra, Scott Schmieding

Motivated by Furstenberg's Theorem on sets in the circle invariant under multiplication by a non-lacunary semigroup, we define a general class of dynamical systems possessing simil…