50 citations · 67 across the 6 of their papers we have counts for
6 papers
Asymptotic Inference for Infinitely Imbalanced Logistic Regression
Dorian Goldman, Bo Zhang
In this paper we extend the work of Owen (2007) by deriving a second order expansion for the slope parameter in logistic regression, when the size of the majority class is unbounde…
Asymptotics of non-minimizing stationary points of the Ohta-Kawasaki energy and its sharp interface version
Dorian Goldman
We study a non-local Cahn-Hilliard energy arising in the study of di-block copolymer melts, often referred to as the Ohta-Kawasaki energy in that context. In this model, two phases…
On the regularity of stationary points of a nonlocal isoperimetric problem
Dorian Goldman, Alexander Volkmann
In this article we establish -regularity of the reduced boundary of stationary points of a nonlocal isoperimetric problem in a domain . In particula…
The Gamma-limit of the two-dimensional Ohta-Kawasaki energy. II. Droplet arrangement at the sharp interface level via the renormalized energy
Dorian Goldman, Cyrill B. Muratov, Sylvia Serfaty
This is the second in a series of papers in which we derive a -expansion for the two-dimensional non-local Ginzburg-Landau energy with Coulomb repulsion known as the Ohta-Kawasa…
Uniqueness results for critical points of a non-local isoperimetric problem via curve shortening
Dorian Goldman
Using area-preserving curve shortening flow, and a new inequality relating the potential generated by a set to its curvature, we study a non-local isoperimetric problem which arise…
The -limit of the two-dimensional Ohta-Kawasaki energy. I. Droplet density
Dorian Goldman, Cyrill B. Muratov, Sylvia Serfaty
This is the first in a series of two papers in which we derive a -expansion for a two-dimensional non-local Ginzburg-Landau energy with Coulomb repulsion, also known as the Ohta…