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nlin.CD2004★ 33 cited
Weyl's law and quantum ergodicity for maps with divided phase space
Jens Marklof, Stephen O'Keefe, Steve Zelditch
For a general class of unitary quantum maps, whose underlying classical phase space is divided into several invariant domains of positive measure, we establish analogues of Weyl's…
nlin.CD2004★ 47 cited
Intermediate statistics in quantum maps
Olivier Giraud, Jens Marklof, Stephen O'Keefe
We present a one-parameter family of quantum maps whose spectral statistics are of the same intermediate type as observed in polygonal quantum billiards. Our central result is the…