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math.DS2003
A family of critically finite maps with symmetry
Scott Crass
The symmetric group S_n acts as a reflection group on CP^{n-2} (for ) . Associated with each of the transpositions in S_n is an involution on CP^{n-2} that…
math.DS1999
Solving the sextic by iteration: A complex dynamical approach
Scott Crass, Peter Doyle
Recently, Peter Doyle and Curt McMullen devised an iterative solution to the fifth degree polynomial. At the method's core is a rational mapping of the Riemann sphere with the icos…
math.DS1999
Solving the quintic by iteration in three dimensions
Scott Crass
The requirement for solving a polynomial is a means of breaking its symmetry, which in the case of the quintic, is that of the symmetric group S_5. Induced by its five-dimensional…