Sharp iteration asymptotics for transfer operators induced by greedy β-expansions

2025/02/24 by Cornean, Horia D., Sørensen, Kasper S.
#37 (Primary) 39 #40 #47 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.17113

Abstract

We consider base-β expansions of Parry's type, where a₀ ≥ a₁ ≥ 1 are integers and a₀<β

Related

• Spectral and dynamical results related to certain non-integer base expansions on the unit interval
• Greedy and quasi-greedy expansions in non-integer bases
• Transformations Generating Negative [Beta]-expansions
• Greedy Beta-expansions for families of Salem numbers
• Approximation properties of β-expansions