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Harmonic deformation of Delaunay triangulations


  • Ferrari, Pablo A.
  • Grisi, Rafael M.
  • Groisman, Pablo


We construct harmonic functions on random graphs given by Delaunay triangulations of ergodic point processes as the limit of the zero-temperature harness process.

Suggested Citation

  • Ferrari, Pablo A. & Grisi, Rafael M. & Groisman, Pablo, 2012. "Harmonic deformation of Delaunay triangulations," Stochastic Processes and their Applications, Elsevier, vol. 122(5), pages 2185-2210.
  • Handle: RePEc:eee:spapps:v:122:y:2012:i:5:p:2185-2210
    DOI: 10.1016/

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    References listed on IDEAS

    1. Ferrari, Pablo A. & Niederhauser, Beat M., 2006. "Harness processes and harmonic crystals," Stochastic Processes and their Applications, Elsevier, vol. 116(6), pages 939-956, June.
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    Cited by:

    1. Rousselle, Arnaud, 2015. "Recurrence or transience of random walks on random graphs generated by point processes in Rd," Stochastic Processes and their Applications, Elsevier, vol. 125(12), pages 4351-4374.


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