CURTIS-HEDLUND-LYNDON THEOREM FOR ULTRAGRAPH SHIFT SPACES

ABSTRACT:

In this work we characterize the class of continuous shift commuting maps between ultragraph shift spaces, proving a Curtis-Hedlund-Lyndon type theorem. Then we use it to characterize continuous, shift commuting, length preserving maps in terms of generalized sliding block codes.

This is a joint work with Prof. Daniel Gon\c{c}alves (UFSC, Brazil)

Posted on Jan 10, 2018 in Dynamical Systems, Seminars