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

This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical proce