Barrier billiards are argued to have semi-Poisson spectral statistics, and their trace formula is derived from the transfer operator in the semiclassical limit.
As the transfer operator is exact it can be used also for numerical computations of the billiard barrier spectrum
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Semiclassical approximation for barrier billiards
Barrier billiards are argued to have semi-Poisson spectral statistics, and their trace formula is derived from the transfer operator in the semiclassical limit.