Escape orbits for non-compact flat billiards.
It is proven that, under some conditions on f, the non-compact flat billiard Omega={(x,y) in R(0) (+)xR(0) (+); 0</=y</=f(x)} has no orbits going directly to + infinity. The relevance of such sufficient conditions is discussed. (c) 1996 American Institute of Physics.
Lenci
Marco
M
Mathematics Department, Princeton University, Princeton, New Jersey 08544.