Explicit construction of invariant u and scaled v for the transfer operator of Parry-type β-expansions gives sharp L^∞ asymptotics P^k F = u + β^{-k}(F(1)-F(0))v + o(β^{-k}) for unit-integral smooth F.
: The asymptotic distribution of the scaled remainder for pseudo golden ratio expansions of a continuous random variable
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Sharp iteration asymptotics for transfer operators induced by greedy $\beta$-expansions
Explicit construction of invariant u and scaled v for the transfer operator of Parry-type β-expansions gives sharp L^∞ asymptotics P^k F = u + β^{-k}(F(1)-F(0))v + o(β^{-k}) for unit-integral smooth F.