Tilt Dynamics of Cylinder Information and the Parry Measure on the Golden-Mean Shift

Ergodic theory and probability

gen2
ergodic
submitted
Exponential tilts of cylinder information close within the one-step Markov family, making tilt dynamics globally linearizable. The Parry measure is characterized as the unique zero-jitter (constant Re…
Published

April 7, 2026

Journal of Theoretical Probability 21 Theorems Ergodic theory and probability

Abstract

Exponential tilts of cylinder information close within the one-step Markov family, making tilt dynamics globally linearizable. The Parry measure is characterized as the unique zero-jitter (constant Renyi spectrum) law.

Keywords: shifts of finite type, Parry measure, large deviations, thermodynamic formalism, Gibbs measures

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