# Sheldon L

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bio website location Austin, TX age 53 member for 2 years, 2 months seen 52 mins ago profile views 302

I'm interested in tetration, and complex dynamics and iteration theory. I'm seeking to learn more about math, so I can prove some of the things I've posted on some other forums.

 9 Relationship between the Weierstrass function and other fractals 8 Supremum of all y-coordinates of the Mandelbrot set 8 Mandelbrot boundary 8 Is $\frac{1}{\exp(z)} - \frac{1}{\exp(\exp(z))} + \frac{1}{\exp(\exp(\exp(z)))} -\ldots$ entire? 7 Supremum of all y-coordinates of the Mandelbrot set

# 1,958 Reputation

 +20 Are mini-Mandelbrots known to be found in any fractals other than the Mandelbrot set itself? +20 Convex hull of the Mandelbrot set +10 Find a real entire function $f(z)$ asymptotic to $\ln(x^2+1)$ for real $x$. +10 Is there an inverse operation of tetration for values between 0 and .3?

# 14 Questions

 11 half iterate of $x^2+c$ 7 Why is this function a really good asymptotic for $\exp(x)\sqrt{x}$ 6 How to figure out the starting point for this Mandelbrot? 5 radius of convergence of half iterate of sinh(z)? 5 two fixed points, same fractional iteration

# 43 Tags

 41 fractals × 16 15 chaos-theory × 2 31 complex-dynamics × 23 10 number-theory × 5 26 complex-analysis × 18 8 convergence × 4 25 tetration × 19 8 calculus × 2 15 supremum-and-infimum × 2 7 asymptotics × 3

# 2 Accounts

 Mathematics 1,958 rep 418 MathOverflow 114 rep 5