On the topology of the zero sets of monochromatic random waves
  This note concerns the topology of the connected components of the zero sets of monochromatic random waves on compact Riemannian manifolds without boundary. In [SW] it is shown that these are distributed according to a universal measure on the space of smooth topological types. Our goal is to determine the support of this measure. 
Yaiza Canzani and Peter Sarnak
math-ph math.AP math.MP math.PR