User Portlet

Hello, I am Bharath Krishnan. I enrolled as an undergrad at Indiana East. My interest is in expected values and measure theory.

I currently wish to make the expected values, w.r.t the uniform probability measure, finite for the largest class of functions since “almost all” measurable functions have infinite or undefined expected values (see “prevalent set”). The former is solved by taking the expected value of a sequence sets, where the uniform measure of each term of the sequence exists, such the set-theoretic limit equals the domain of the function.

Note my main purpose, is to use to choose a meaningful sequence of such sets (which I call the pre-structure) to average over the worst-case functions, e.g. uncountable pseudo-random points, non-uniformly distributed in the sub-space of R^2.