The role of transfer operators and shifts in the study of fractals: encoding-models, analysis and geometry, commutative and non-commutative

Dorin Ervin Dutkay, Palle E. T. Jorgensen

We study a class of dynamical systems in $L^2$ spaces of infinite products $X$. Fix a compact Hausdorff space $B$. Our setting encompasses such cases when the dynamics on $X = B^\b…