# zbMATH — the first resource for mathematics

Substitutions, partial isometries of $$\mathbb{R}$$, and actions on trees. (English) Zbl 0936.28013
The authors show that the minimal subshifts generated by a primitive substitution provides a symbolic coding of the dynamics of the partial isometries associated to each real geometric realization of the substitutions. They use this result to give a detailed investigation of the dynamical and structural properties of the system.

##### MSC:
 28D05 Measure-preserving transformations 28A78 Hausdorff and packing measures 37A20 Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations
##### Keywords:
minimal subshifts; symbolic coding; substitutions