3 citations · 3 across the 2 of their papers we have counts for
4 papers
Bounding Zolotarev numbers using Faber rational functions
Daniel Rubin, Alex Townsend, Heather Wilber
By closely following a construction by Ganelius, we construct Faber rational functions that allow us to derive tight and explicit bounds on Zolotarev numbers. We use our results to…
Asymptotic slopes of the Aubin-Yau functional and calculation of the Donaldson-Futaki invariant
Daniel Rubin
We derive an explicit formula for the asymptotic slope of the Aubin-Yau functional along a Bergman geodesic on a surface of complex dimension 2, extending the work of Phong-Sturm o…
The Monge-Ampère Equation with Guillemin Boundary Conditions
Daniel Rubin
Existence and boundary regularity away from the corners are established for two-dimensional Monge-Ampère equations on convex polytopes with Guillemin boundary conditions. An import…
Computing points of small height for cubic polynomials
Robert L. Benedetto, Benjamin Dickman, Sasha Joseph +3
Let f in Q[z] be a polynomial of degree d at least two. The associated canonical height \hat{h}_f is a certain real-valued function on Q that returns zero precisely at preperiodic…