1 citations · 1 across the 6 of their papers we have counts for
6 papers
Monopolist nonlinear pricing in a seller's market
Lucas D. O'Brien
In this paper, we study the Rochet-Choné model of monopolist pricing in the seller's market limit. We introduce a monotonicity formula which yields an asymptotic description of sol…
On the structure of optimal free Dirichlet regions in mass transportation problems
Lucas D. O'Brien
For a compactly supported probability measure on the -dimensional space , the average distance problem asks us to minimize the average distance functional over…
On the Hausdorff dimension and singularities of the monopolist's free boundary curve
Robert J. McCann, Lucas D. O'Brien, Cale Rankin
The simplest genuinely multidimensional monopolist's problem involves minimizing a linearly perturbed Dirichlet energy among nonnegative convex functions on an open domain $X \…
Structure of average distance minimizers in general dimensions
Lucas O'Brien, Forest Kobayashi, Young-Heon Kim
For a fixed, compactly supported probability measure on the -dimensional space , we consider the problem of minimizing the -power average dist…
The Normality of Products Under Perfect Preimages
Lucas D. O'Brien
A proof of the following theorem is given, answering an open problem attributed to Kunen: suppose that is compact and that is the image of under a perfect map, is n…
A versatile laser-based apparatus for time-resolved ARPES with micro-scale spatial resolution
Sydney K. Y. Dufresne, Sergey Zhdanovich, Matteo Michiardi +8
We present the development of a versatile apparatus for a 6.2 eV laser-based time and angle-resolved photoemission spectroscopy with micrometer spatial resolution (time-resolved $μ…