Zeckendorf Folds, Sturmian Rigidity, and Parry Divergence on the Golden-Mean Shift
Ergodic theory and symbolic dynamics
gen2
ergodic
submitted
The canonical Zeckendorf fold on the Sturmian slice is bijective and realizes the higher-block presentation, giving an exact KL formula and sharp support-constrained Renyi minima in closed form….
Ergodic Theory and Dynamical Systems Submitted 46 Theorems Ergodic theory and symbolic dynamics
Abstract
The canonical Zeckendorf fold on the Sturmian slice is bijective and realizes the higher-block presentation, giving an exact KL formula and sharp support-constrained Renyi minima in closed form.
Keywords: Sturmian subshifts, Zeckendorf numeration, golden-mean shift, Parry measure, Renyi divergence
Infographic
