Folded Histograms of Irrational Rotations: Sampling Certificates and Structural Mismatch to the Parry Measure
Applied dynamical systems
gen2
applied
submitted
A two-stage audit framework for coarse-grained orbit data: certifying empirical folded histograms via star-discrepancy, TV, and relative-entropy bounds, then testing compatibility with the Parry equil…
SIAM Journal on Applied Dynamical Systems Submitted 46 Theorems Applied dynamical systems
Abstract
A two-stage audit framework for coarse-grained orbit data: certifying empirical folded histograms via star-discrepancy, TV, and relative-entropy bounds, then testing compatibility with the Parry equilibrium.
Keywords: irrational rotations, Sturmian sequences, Parry measure, Renyi divergence, statistical auditing
Infographic
