---
res:
  bibo_abstract:
  - "We establish basic properties of the heat flow on entire holomorphic\r\nfunctions
    that have order at most 2. We then look specifically at the action of\r\nthe heat
    flow on the Gaussian analytic function (GAF). We show that applying\r\nthe heat
    flow to a GAF and then rescaling and multiplying by an exponential of\r\na quadratic
    function gives another GAF. It follows that the zeros of the GAF\r\nare invariant
    in distribution under the heat flow, up to a simple rescaling.\r\n  We then show
    that the zeros of the GAF evolve under the heat flow\r\napproximately along straight
    lines, with an error whose distribution is\r\nindependent of the starting point.
    Finally, we connect the heat flow on the GAF\r\nto the metaplectic representation
    of the double cover of the group\r\n$SL(2;\\mathbb{R}).$@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Brian
      foaf_name: Hall, Brian
      foaf_surname: Hall
  - foaf_Person:
      foaf_givenName: Ching-Wei
      foaf_name: Ho, Ching-Wei
      foaf_surname: Ho
  - foaf_Person:
      foaf_givenName: Jonas
      foaf_name: Jalowy, Jonas
      foaf_surname: Jalowy
      foaf_workInfoHomepage: http://www.librecat.org/personId=113768
    orcid: 0000-0001-9624-2685
  - foaf_Person:
      foaf_givenName: Zakhar
      foaf_name: Kabluchko, Zakhar
      foaf_surname: Kabluchko
  dct_date: 2023^xs_gYear
  dct_language: eng
  dct_title: The heat flow, GAF, and SL(2;R)@
...