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References

  1. Addario-Berry, Louigi; Reed, Bruce. Minima in branching random walks. Ann. Probab. 37 (2009), no. 3, 1044--1079. MR2537549 (2011b:60338)

  2. Bolthausen, Erwin; Deuschel, Jean-Dominique; Giacomin, Giambattista. Entropic repulsion and the maximum of the two-dimensional harmonic crystal. Ann. Probab. 29 (2001), no. 4, 1670--1692. MR1880237 (2003a:82028)

  3. Bolthausen, Erwin; Deuschel, Jean-Dominique; Zeitouni, Ofer. Recursions and tightness for the maximum of the discrete, two dimensional gaussian free field. (2010). arXiv:1005.5417v1

  4. Bramson, Maury; Zeitouni, Ofer. Tightness for the minimal displacement of branching random walk. J. Stat. Mech. Theory Exp. 2007, no. 7, P07010, 12 pp. (electronic). MR2335694 (2008g:60255)

  5. Bramson, Maury; Zeitouni, Ofer. Tightness for a family of recursion equations. Ann. Probab. 37 (2009), no. 2, 615--653. MR2510018 (2010c:60248)

  6. Bramson, Maury; Zeitouni, Ofer. Tightness of the recentered maximum of the two-dimensional discrete Gaussian Free Field. (2010). arXiv:1009.3443v1

  7. Carpentier, D.; Le Doussal, P.. Glass transition for a particle in a random potential, front selection in nonlinear renormalization group, and entropic phenomena in liouville and sinh-gordon models. Phys. Rev. E. 63 (2001), 026110.

  8. Chatterjee, Sourav. A new method of normal approximation. Ann. Probab. 36 (2008), no. 4, 1584--1610. MR2435859 (2009j:60043)

  9. Daviaud, Olivier. Extremes of the discrete two-dimensional Gaussian free field. Ann. Probab. 34 (2006), no. 3, 962--986. MR2243875 (2007m:60289)

  10. Dekking, F. M.; Host, B. Limit distributions for minimal displacement of branching random walks. Probab. Theory Related Fields 90 (1991), no. 3, 403--426. MR1133373 (93b:60189)

  11. Le Doussal, P.; Fyodorov, Y.; Rosso, A. newblock Statistical mechanics of logarithmic rem: duality, freezing and extreme value statistics of $1/f$ noises generated by gaussian free fields. J. Stat. Mech. (2009), P10005.

  12. Fyodorov, Yan V.; Bouchaud, Jean-Philippe. Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential. J. Phys. A 41 (2008), no. 37, 372001, 12 pp. MR2430565 (2010g:82036)

  13. Hu, Xiaoyu; Miller, Jason; Peres, Yuval. Thick points of the Gaussian free field. Ann. Probab. 38 (2010), no. 2, 896--926. MR2642894

  14. Sheffield, Scott. Gaussian free fields for mathematicians. Probab. Theory Related Fields 139 (2007), no. 3-4, 521--541. MR2322706 (2008d:60120)

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