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- W3099896043 abstract "We investigate the topological zeta function for unimodal maps in general and dynamical zeta functions for the tent map in particular. For the generic situation, when the kneading sequence is aperiodic, it is shown that the zeta functions have a natural boundary along its radius of convergence, beyond which the function lacks analytic continuation. We make a detailed study of the function ∏n=0∞(1−z2n) associated with sequences of period doublings. It is demonstrated that this function has a dense set of singular points and zeros on the unit circle, exhibiting a rich number theoretical structure." @default.
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- W3099896043 date "1997-08-01" @default.
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- W3099896043 title "On the effect of pruning on the singularity structure of zeta functions" @default.
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- W3099896043 doi "https://doi.org/10.1063/1.532094" @default.
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