14 citations · 62 across the 24 of their papers we have counts for
28 papers
A Genetic Algorithm for Generating Extreme Examples in Arithmetic Dynamics
Benjamin Hutz
We describe a genetic algorithm to find extreme examples in the arithmetic of dynamical systems. The algorithm is applied to four problems: small (non-zero) canonical heights, many…
Integrality and Thurston Rigidity for Bicritical PCF Polynomials
Heidi Benham, Alexander Galarraga, Benjamin Hutz +3
We give an algebraic proof of an important consequence of Thurston rigidity for bicritical PCF polynomials with periodic critical points under certain mild assumptions. The key res…
Automorphism loci for degree 3 and degree 4 endomorphisms of the projective line
Brandon Gontmacher, Benjamin Hutz, Grayson Jorgenson +2
Let be an endomorphism of the projective line. There is a natural conjugation action on the space of such morphisms by elements of the projective linear group. The group of aut…
Automorphism Groups of Endomorphisms of
Julia Cai, Benjamin Hutz, Leo Mayer +1
For any algebraically closed field and any endomorphism of of degree at least 2, the automorphisms of are the Möbius transformations that commute with…
New Normal Forms For Degree Three Polynomials and Rational Functions
Heidi Benham, Alexander Galarraga, Benjamin Hutz +3
When studying families in the moduli space of dynamical systems, choosing an appropriate representative function for a conjugacy class can be a delicate task. The most delicate que…
Multipliers and invariants of endomorphisms of projective space in dimension greater than 1
Benjamin Hutz
There is a natural conjugation action on the set of endomorphism of of fixed degree . The quotient by this action forms the moduli of degree endomorphisms of $¶…