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- W2097069020 abstract "We prove geometric and scaling results for the real Fibonacci parameter value in the quadratic family $f_c(z) = z^2+c$. The principal nest of the Yoccoz parapuzzle pieces has rescaled asymptotic geometry equal to the filled-in Julia set of $z^2-1$. The modulus of two such successive parapuzzle pieces increases at a linear rate. Finally, we prove a ``hairiness theorem for the Mandelbrot set at the Fibonacci point when rescaling at this rate." @default.
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- W2097069020 date "1996-06-15" @default.
- W2097069020 modified "2023-09-27" @default.
- W2097069020 title "Parameter scaling for the Fibonacci point" @default.
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