Faithin Omaha eBook Collection

This paper studies the following three problems. 1. When does a measure on a self-similar set have the volume doubling property with respect to a given distance

Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors o

In this paper, time changes of the Brownian motions on generalized Sierpinski carpets including n-dimensional cube [0,1]n are studied. Intuitively time change c

The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in