KITES IN MONTANA

8 Outer Billiards on Kites

Outer Billiards on Kites

1 Preface Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B.H. Neumann introduced outer billiards in the 1950s, and J. Moser popularized outer billiards in the 1970s as a toy model for celestial mechanics. Outer billiards is an appealing dynamical system because of its simplicity and also because of its connection to such topics as interval exchange ...

Real-Time Optimization for Kites

Over the past decade, a large number of academics and start-ups have devoted themselves to developing kites as a renewable energy source. Determining the trajectories the kite should follow is a modeling and optimization challenge. We present a dynamic model and analyse how uncertainty affects the resulting optimization problem. We show how measurements can be used to rapidly correct the model-...

Outer Billiards on Kites by

1 Preface Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B.H. Neumann introduced outer billiards in the 1950s, and J. Moser popularized outer billiards in the 1970s as a toy model for celestial mechanics. Outer billiards is an appealing dynamical system because of its simplicity and also because of its connection to such topics as interval exchange ...

Deadly radon in montana?

Noting a negative correlation between average radon levels and lung cancer mortality in Montana counties, Hart (2011) “questions the notion that radon is deadly in Montana.” Results from a much larger ecological study of the correlation between county radon levels and lung cancer mortality across the whole United States were published in the 1990s (Cohen 1990, 1995). Like Hart, Cohen found an i...