---
res:
  bibo_abstract:
  - 'We numerically investigate the distribution of extrema of ''chaotic'' Laplacian
    eigenfunctions on two-dimensional manifolds. Our contribution is two-fold: (a)
    we count extrema on grid graphs with a small number of randomly added edges and
    show the behavior to coincide with the 1957 prediction of Longuet-Higgins for
    the continuous case and (b) we compute the regularity of their spatial distribution
    using discrepancy, which is a classical measure from the theory of Monte Carlo
    integration. The first part suggests that grid graphs with randomly added edges
    should behave like two-dimensional surfaces with ergodic geodesic flow; in the
    second part we show that the extrema are more regularly distributed in space than
    the grid Z2.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Florian
      foaf_name: Pausinger, Florian
      foaf_surname: Pausinger
      foaf_workInfoHomepage: http://www.librecat.org/personId=2A77D7A2-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-8379-3768
  - foaf_Person:
      foaf_givenName: Stefan
      foaf_name: Steinerberger, Stefan
      foaf_surname: Steinerberger
  bibo_doi: 10.1016/j.physleta.2014.12.010
  bibo_issue: '6'
  bibo_volume: 379
  dct_date: 2015^xs_gYear
  dct_identifier:
  - UT:000349586000006
  dct_language: eng
  dct_publisher: Elsevier@
  dct_title: On the distribution of local extrema in quantum chaos@
...
