We study the structure of isometries of the quadratic Wasserstein space W2(Sn, · )over the sphere endowed with the distance inherited from the norm of Rn+1. We prove that W2(Sn, · )is isometrically rigid, meaning that its isometry group is isomorphic to that of (Sn, · ). This is in striking...

Econometric theory, as presented in textbooks and the econometric literature generally, is a somewhat disparate collection of findings. Its essential nature is to be a set of demonstrated results that increase over time, each logically based on a specific set of axioms or assumptions, yet at...

The highly prized ability to make financial plans with some certainty about the future comes from the core fields of economics. In recent years the availability of more data, analytical tools of greater precision, and ex post studies of business decisions have increased demand for information...