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- W3202094795 abstract "Suppose that q=2m+1≥5. Let F be the Cauchy transform of the self-similar measure μ=1q∑j=0q−1μ∘Sj where Sj(z)=e2jπi/q+ρ(z−e2jπi/q) with ρ∈(0,1). Let K be the attractor of {Sj}j=0q−1 and Rq=dist(0,K). The Laurent coefficients of F in |z|>1 was studied in [18] and [2]. In this paper, we study the asymptotic formula of the Taylor coefficients {bqk−1}k=1∞ of F in |z|<Rq. We prove that the supremum of β satisfying {(qk)βRqqkbqk−1}k=1∞∈l∞ is the Hausdorff dimension α of K, and that the accumulation points set of {(qk)αRqqkbqk−1}k=1∞ is a union of some non-degenerate line segments." @default.
- W3202094795 created "2021-10-11" @default.
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- W3202094795 date "2021-10-01" @default.
- W3202094795 modified "2023-09-26" @default.
- W3202094795 title "W90. USING ALLELE SCORES TO IDENTIFY CONFOUNDING BY REVERSE CAUSATION IN EPIDEMIOLOGICAL STUDIES OF ALCOHOL CONSUMPTION" @default.
- W3202094795 doi "https://doi.org/10.1016/j.euroneuro.2021.08.173" @default.
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