27 citations · 28 across the 3 of their papers we have counts for
5 papers · 1 filter
Rationality of dynamical canonical height
Laura DeMarco, Dragos Ghioca
We present a dynamical proof of the well-known fact that the Neron-Tate canonical height (and its local counterpart) takes rational values at points of an elliptic curve over a fun…
Bifurcation measures and quadratic rational maps
Laura DeMarco, Xiaoguang Wang, Hexi Ye
We study critical orbits and bifurcations within the moduli space of quadratic rational maps on . We focus on the family of curves, for in …
Degenerations of Complex Dynamical Systems
Laura DeMarco, Xander Faber
We show that the weak limit of the maximal measures for any degenerating sequence of rational maps on the Riemann sphere must be a countable sum of atoms. For a 1-parameter family…
Special curves and postcritically-finite polynomials
Matthew Baker, Laura DeMarco
We study the postcritically-finite (PCF) maps in the moduli space of complex polynomials . For a certain class of rational curves in , we characte…
The geometry of the critically-periodic curves in the space of cubic polynomials
Laura DeMarco, Aaron Schiff
We provide an algorithm for computing the Euler characteristic of the curves in the space of cubic polynomials, consisting of all polynomials with a periodic critical point o…