A Sharp Three-Window Threshold and Finite-Memory Conjugacy in Fibonacci Stabilization
Symbolic dynamics and ergodic theory
gen2
symbolic
submitted
A sharp threshold at window size m=3: for m>=3 the stabilized-window map is injective with image topologically conjugate to the full two-shift. The conjugacy transports the full thermodynamic formalis…
Journal of Physics A Submitted 70 Theorems Symbolic dynamics and ergodic theory
Abstract
A sharp threshold at window size m=3: for m>=3 the stabilized-window map is injective with image topologically conjugate to the full two-shift. The conjugacy transports the full thermodynamic formalism exactly.
Keywords: subshifts of finite type, topological conjugacy, thermodynamic formalism, Fibonacci numeration
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