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References

  • Barlow, M. T.; Taylor, S. J. Fractional dimension of sets in discrete spaces. With a reply by J. Naudts. J. Phys. A 22 (1989), no. 13, 2621--2628. MR1003752
  • Bolthausen, E.; Deuschel, J.-D.; Giacomin, G. Entropic repulsion and the maximum of the two-dimensional harmonic crystal. Ann. Probab. 29 (2001), no. 4, 1670--1692. MR1880237
  • Daviaud, O. Extremes of the discrete two-dimensional Gaussian free field. Ann. Probab. 34 (2006), no. 3, 962--986. MR2243875
  • Dembo, A.; Peres, Y.; Rosen, J.; Zeitouni, O. Late points for random walks in two dimensions. Ann. Probab. 34 (2006), no. 1, 219--263. MR2206347
  • Kurt, N. Entropic repulsion for a Gaussian membrane model in the critical and supercritical dimension, Ph.D. thesis, University of Zurich, 2008.
  • Kurt, N. Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension. Ann. Probab. 37 (2009), no. 2, 687--725. MR2510021
  • Kurt, N. Entropic repulsion for a class of Gaussian interface models in high dimensions. Stochastic Process. Appl. 117 (2007), no. 1, 23--34. MR2287101
  • Sakagawa, H. Entropic repulsion for a Gaussian lattice field with certain finite range interaction. J. Math. Phys. 44 (2003), no. 7, 2939--2951. MR1982781
  • Sznitman, A.-S. Topics in occupation times and Gaussian free fields. Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich, 2012. viii+114 pp. ISBN: 978-3-03719-109-5 MR2932978
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