54 citations · 504 across the 52 of their papers we have counts for
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Unipotent flows on the space of branched covers of Veech surfaces
Alex Eskin, Jens Marklof, Dave Witte Morris
There is a natural action of SL(2,R) on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup $U = {\begin{pmatrix} 1 & * 0 & 1 \end{pmatrix…
Selberg's trace formula: an introduction
Jens Marklof
These lecture notes provide a basic introduction to Selberg's trace formula. We discuss the simplest possible case: the spectrum of the Laplacian on a compact Riemannian surface of…
Melvin Models and Diophantine Approximation
David Kutasov, Jens Marklof, Gregory W. Moore
Melvin models with irrational twist parameter provide an interesting example of conformal field theories with non-compact target space, and localized states which are arbitrarily c…
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…