Iterated function systems with contracting functions have been widely applied in contexts relating art and science. This paper explores iterated function systems which consist of expanding linear functions. An area in the plane is divided in parts which are defined implicitly by an inverse function technique. With each part, an expanding function is associated. A coloring technique is proposed ...

Most evolutionary theory does not deal with populations expanding or contracting in space. Invasive species, climate change, epidemics, and the breakdown of dispersal barriers, however, all create populations in this kind of spatial disequilibrium. Importantly, spatial disequilibrium can have important ecological and evolutionary outcomes. During continuous range expansion, for example, populat...

We study the splitting probabilities for a one-dimensional Brownian motion in a cage whose two boundaries move at constant speeds c1 and c2. This configuration corresponds to the capture of a diffusing, but skittish lamb, with an approaching shepherd on the left and a precipice on the right. We derive compact expressions for these splitting probabilities when the cage is expanding. We also obta...

Realizing elasticity in cloud applications today is often a cumbersome process, requiring applications to integrate with services like elastic load balancers and/or be rewritten to accommodate distributed frameworks like map/reduce or cluster-based operating systems. In this paper, we introduce the concept of ElasticOS, which enables a process (or even a single thread) to stretch its associated...

Motion in depth results in radial optic-flow patterns. Forward motion results in radially expanding patterns, whereas backward motion generates contracting patterns. Radial optic-flow patterns are typically represented with a positive speed gradient, ie zero speed at the point of fixation, and maximum speed at the periphery. However, the actual speed profile in such a stimulus will depend upon ...