---
res:
  bibo_abstract:
  - We use rigorous numerical techniques to compute a lower bound for the exponent
    of expansivity outside a neighborhood of the critical point for thousands of intervals
    of parameter values in the quadratic family. We first compute a radius of the
    critical neighborhood outside which the map is uniformly expanding. This radius
    is taken as small as possible, yet large enough for our numerical procedure to
    succeed in proving that the expansivity exponent outside this neighborhood is
    positive. Then, for each of the intervals, we compute a lower bound for this expansivity
    exponent, valid for all the parameters in that interval. We illustrate and study
    the distribution of the radii and the expansivity exponents. The results of our
    computations are mathematically rigorous. The source code of the software and
    the results of the computations are made publicly available at http://www.pawelpilarczyk.com/quadratic/.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Ali
      foaf_name: Golmakani, Ali
      foaf_surname: Golmakani
  - foaf_Person:
      foaf_givenName: Stefano
      foaf_name: Luzzatto, Stefano
      foaf_surname: Luzzatto
  - foaf_Person:
      foaf_givenName: Pawel
      foaf_name: Pilarczyk, Pawel
      foaf_surname: Pilarczyk
      foaf_workInfoHomepage: http://www.librecat.org/personId=3768D56A-F248-11E8-B48F-1D18A9856A87
  bibo_doi: 10.1080/10586458.2015.1048011
  bibo_issue: '2'
  bibo_volume: 25
  dct_date: 2016^xs_gYear
  dct_identifier:
  - UT:000372490500002
  dct_language: eng
  dct_publisher: Taylor & Francis@
  dct_title: Uniform expansivity outside a critical neighborhood in the quadratic
    family@
...
