22 citations · 108 across the 45 of their papers we have counts for
5 papers · 1 filter
Computability in Harmonic Analysis
Ilia Binder, Adi Glucksam, Cristobal Rojas +1
We study the question of constructive approximation of the harmonic measure of a connected bounded domain with respect to a point . In particular, using a new no…
Caratheodory convergence and harmonic measure
Ilia Binder, Cristobal Rojas, Michael Yampolsky
We give several new characterizations of Caratheodory convergence of simply connected domains. We then investigate how different definitions of convergence generalize to the multip…
Computable geometric complex analysis and complex dynamics
Cristobal Rojas, Michael Yampolsky
We discuss computability and computational complexity of conformal mappings and their boundary extensions. As applications, we review the state of the art regarding computability a…
Computable Caratheodory Theory
Ilia Binder, Cristobal Rojas, Michael Yampolsky
Conformal Riemann mapping of the unit disk onto a simply-connected domain is a central object of study in classical Complex Analysis. The first complete proof of the Riemann Ma…
On computational complexity of Riemann mapping
Ilia Binder, Mark Braverman, Michael Yampolsky
In this paper we consider the computational complexity of uniformizing a domain with a given computable boundary. We give nontrivial upper and lower bounds in two settings: when th…