Escape Orbits and Ergodicity in Infinite Step Billiards
نویسندگان
چکیده
In [DDL] we defined a class of non-compact polygonal billiards, the infinite step billiards: to a given sequence of non-negative numbers {pn}n∈N, such that pn ց 0, there corresponds a table P := ⋃ n∈N[n, n+ 1]× [0, pn]. In this article, first we generalize the main result of [DDL] to a wider class of examples. That is, a.s. there is a unique escape orbit which belongs to the αand ω-limit of every other trajectory. Then,
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