Scott Schmieding

My Google Scholar page.

Preprints

• Hyperspatiality for isomorphisms of stabilized automorphism groups of shifts of finite type.
  Joint with Jeremias Epperlein.
  Preprint, 2024.
• Chaotic almost minimal actions.
  Joint with Van Cyr and Bryna Kra.
  Preprint, 2024.
• Arithmetic and Topology of the Hexponential map.
  Joint with Christopher-Lloyd Simon.
  Preprint, 2024.

Publications

• On the structure of generic subshifts.
  Joint with Ronnie Pavlov.
  Nonlinearity, Vol. 36, no. 9, 4904-4953, 2023.
• Local finiteness and automorphism groups of low complexity subshifts.
  Joint with Ronnie Pavlov.
  Ergodic Theory and Dynamical Systems, Vol. 43, no. 6, 1980--2001, 2023.
  Online published version of the article.
• Local 𝒫 entropy and stabilized automorphism groups of subshifts.
  Inventiones Mathematicae, Vol. 227, no. 3, 963--995, 2022.
  Online published version of the article.
• The stabilized automorphism group of a subshift.
  Joint with Yair Hartman and Bryna Kra.
  International Mathematics Research Notices, Vol. 2022, no. 21, 17112--17186, 2022.
  Online published version of the article.
• Random substitution tilings and deviation phenomena.
  Joint with Rodrigo Treviño.
  Discrete & Continuous Dynamical Systems, Vol. 41, no. 8, 3869--3902, 2021.
• The mapping class group of a minimal subshift.
  Joint with Kitty Yang.
  Colloquium Mathematicum, Vol. 163, no. 2, 233--265, 2021.
• Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation.
  Ergodic Theory and Dynamical Systems, Vol. 40, no. 9, 2552--2570, 2020.
• Traces of random operators associated with selfaffine Delone sets and Shubin’s formula.
  Joint with Rodrigo Treviño.
  Annales Henri Poincaré, Vol. 19, no. 9, 2575--2597, 2018.
• Strong shift equivalence and algebraic K-theory.
  Joint with Mike Boyle.
  Journal für die reine und angewandte Mathematik (Crelle's Journal), Vol. 752, 63--104, 2019.
• Self-affine Delone sets and deviation phenomena.
  Joint with Rodrigo Treviño.
  Communications in Mathematical Physics, Vol. 357, no. 3, 1071--1112, 2018.
• Finite group extensions of shift of finite type: K-theory, Parry and Livšic.
  Joint with Mike Boyle.
  Ergodic Theory and Dynamical Systems, Vol. 37, no. 4, 1026--1059, 2017.
• Strong shift equivalence and the generalized spectral conjecture for nonnegative matrices.
  Joint with Mike Boyle.
  Linear Algebra and Its Applications, Vol. 498, 231--243, 2016.
• Maximal equicontinuous factors and cohomology for tiling spaces.
  Joint with Marcy Barge and Johannes Kellendonk.
  Fundamenta Mathematicae, Vol. 218, no. 3, 243--268, 2012.

Books

• Groups and Graphs, Designs and Dynamics.
  Joint with Mike Boyle, Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli, Nobuaki Obata, R. A. Bailey, Peter J. Cameron.
  Corresponding chapter can be found here: Symbolic dynamics and the stable algebra of matrices., joint with Mike Boyle.
  2024

Expository

• Symbolic dynamics and subshifts of finite type.
  Lecture notes for Symbolic Dynamics topics course at Northwestern University in 2019.
• Explicit examples in NK₁.
  2015.

Recorded Talks

• Flow equivalence and mapping class groups for symbolic dynamical systems.
  NYC noncommutative geometry seminar, July 2021.
• Stabilized automorphism groups.
  One day online session for symbolic dynamics, May 2020.
• The stabilized automorphism group of a subshift.
  Symbolic Dynamical Systems workshop at Casa Matemática Oaxaca, Mexico, May 2019.