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- W2969258725 abstract "The paper is devoted to generic translation flows corresponding to Abelian differentials on flat surfaces of arbitrary genus $gge 2$. These flows are weakly mixing by the Avila-Forni theorem. In genus 2, the Holder property for the spectral measures of these flows was established in our papers [10,12]. Recently Forni [17], motivated by [10], obtained Holder estimates for spectral measures in the case of surfaces of arbitrary genus. Here we combine Forni's idea with the symbolic approach of [10] and prove Holder regularity for spectral measures of flows on random Markov compacta, in particular, for translation flows in all genera." @default.
- W2969258725 created "2019-08-29" @default.
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- W2969258725 date "2020-01-14" @default.
- W2969258725 modified "2023-09-26" @default.
- W2969258725 title "Holder regularity for the spectrum of translation flows" @default.
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