The term "volatility" applies to changeability: both that which can be measured, such as temperatures and stock prices, and that which cannot be easily measured, such as affects and emotions. Quantitative financial volatility has typically been studied quite separately from art, culture, and...

We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data. It is well known that evolutionary matrix Riccati equations can be generated by projecting...