67 citations · 313 across the 39 of their papers we have counts for
45 papers
A synthetic null energy condition
Robert J. McCann
We give a simplified approach to Kunzinger & Saemann's theory of Lorentzian length spaces in the globally hyperbolic case; these provide a nonsmooth framework for general relativit…
regularity for principal-agent problems
Robert J. McCann, Cale Rankin, Kelvin Shuangjian Zhang
We prove the interior regularity of the indirect utilities which solve a subclass of principal-agent problems originally considered by Figalli, Kim, and McCann. Our appro…
A duality and free boundary approach to adverse selection
Robert J. McCann, Kelvin Shuangjian Zhang
Adverse selection is a version of the principal-agent problem that includes monopolist nonlinear pricing, where a monopolist with known costs seeks a profit-maximizing price menu f…
Asymptotics near extinction for nonlinear fast diffusion on a bounded domain
Beomjun Choi, Robert J. McCann, Christian Seis
On a smooth bounded Euclidean domain, Sobolev-subcritical fast diffusion with vanishing boundary trace is known to lead to finite-time extinction, with a vanishing profile selected…
A Lorentzian analog for Hausdorff dimension and measure
Robert J. McCann, Clemens Sämann
We define a one-parameter family of canonical volume measures on Lorentzian (pre-)length spaces. In the Lorentzian setting, this allows us to define a geometric dimension - akin to…
Classifying minimum energy states for interacting particles: Regular simplices
Cameron Davies, Tongseok Lim, Robert J. McCann
Densities of particles on $\Rn$ which interact pairwise through an attractive-repulsive power-law potential $W_{\al,\bt}(x) = |x|^\al/\al-|x|^\bt/\bt$ have often been used to expla…