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  • A. Asselah and A. Gaudillière, A note on the fluctuations for internal diffusion limited aggregation. arXiv:1004.4665
  • Asselah, Amine; Gaudillière, Alexandre. From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models. Ann. Probab. 41 (2013), no. 3A, 1115--1159. MR3098673
  • Asselah, Amine; Gaudillière, Alexandre. Sublogarithmic fluctuations for internal DLA. Ann. Probab. 41 (2013), no. 3A, 1160--1179. MR3098674
  • A. Asselah and A. Gaudillière, Lower bounds on fluctuations for internal DLA, phProbab. Theory Related Fields, to appear. arXiv:1111.4233
  • Diaconis, P.; Fulton, W. A growth model, a game, an algebra, Lagrange inversion, and characteristic classes. Commutative algebra and algebraic geometry, II (Italian) (Turin, 1990). Rend. Sem. Mat. Univ. Politec. Torino 49 (1991), no. 1, 95--119 (1993). MR1218674
  • D. Jerison, L. Levine and S. Sheffield, Internal DLA: slides and audio. Midrasha on Probability and Geometry: The Mathematics of Oded Schramm., 2009.
  • Jerison, David; Levine, Lionel; Sheffield, Scott. Logarithmic fluctuations for internal DLA. J. Amer. Math. Soc. 25 (2012), no. 1, 271--301. MR2833484
  • D. Jerison, L. Levine and S. Sheffield, Internal DLA and the Gaussian free field. Duke Math. J., to appear. arXiv:1101.0596
  • Kesten, Harry. Upper bounds for the growth rate of DLA. Phys. A 168 (1990), no. 1, 529--535. MR1077203
  • Lawler, Gregory F.; Bramson, Maury; Griffeath, David. Internal diffusion limited aggregation. Ann. Probab. 20 (1992), no. 4, 2117--2140. MR1188055
  • Lawler, Gregory F. Subdiffusive fluctuations for internal diffusion limited aggregation. Ann. Probab. 23 (1995), no. 1, 71--86. MR1330761
  • Levine, Lionel; Peres, Yuval. Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Potential Anal. 30 (2009), no. 1, 1--27. MR2465710
  • P. Meakin and J. M. Deutch, The formation of surfaces by diffusion-limited annihilation, J. Chem. Phys. 85:2320, 1986.
  • Uchiyama, Kôhei. Green's functions for random walks on ${\bf Z}^ N$. Proc. London Math. Soc. (3) 77 (1998), no. 1, 215--240. MR1625467

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