Abstract
The investigation of a scaling limit for mappings of the circle to itself with golden ratio rotation number leads to a pair of functional equations with at least a formal resemblance to the functional equation using the accumulation of period-doubling bifurcations. We discuss the general theory of these functional equations, assuming that solutions exist.
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Work supported in part by the National Science Foundation.
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Lanford, O.E. Functional equations for circle homeomorphisms with golden ratio rotation number. J Stat Phys 34, 57–73 (1984). https://doi.org/10.1007/BF01770349
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DOI: https://doi.org/10.1007/BF01770349