Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published June 15, 2020 | Submitted
Report Open

Characteristic measures of symbolic dynamical systems


A probability measure is a characteristic measure of a topological dynamical system if it is invariant to the automorphism group of the system. We show that zero entropy shifts always admit characteristic measures. We use similar techniques to show that automorphism groups of minimal zero entropy shifts are sofic.

Additional Information

J. Frisch was funded by NSF Grant DMS-1464475. O. Tamuz was supported by the Simons Foundation (#419427) and by a BSF award (#2018397).

Attached Files

Submitted - 1908.02930.pdf


Files (134.1 kB)
Name Size Download all
134.1 kB Preview Download

Additional details

August 19, 2023
October 20, 2023