54 citations · 504 across the 52 of their papers we have counts for
4 papers · 1 filter
Nodal Domain Statistics for Quantum Maps, Percolation and SLE
J. P. Keating, J. Marklof, I. G. Williams
We develop a percolation model for nodal domains in the eigenvectors of quantum chaotic torus maps. Our model follows directly from the assumption that the quantum maps are describ…
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…
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…
Quantum cat maps with spin 1/2
Stefan Keppeler, Jens Marklof, Francesco Mezzadri
We derive a semiclassical trace formula for quantized chaotic transformations of the torus coupled to a two-spinor precessing in a magnetic field. The trace formula is applied to s…