Random discrete interfaces

(See the journals for the final versions)




[7] P. Caputo, F. Martinelli, F. L. Toninelli, Entropic repulsion in $|\nabla\phi|^p$ surfaces: a large deviation bound for all p\ge 1 , Boll. Unione Matematica Italiana 10 (2017), 451-466, arXiv:1701.03327

[6] A. Giuliani, V. Mastropietro, F. L. Toninelli, Haldane relation for interacting dimers , arXiv:1612.01274, J. Stat. Mech. (2017) 034002

[5] A. Giuliani, V. Mastropietro, F. L. Toninelli, Height fluctuations in non- integrable classical dimers Europhys. Lett. 109 (2015), arXiv:1406.7710

[4] A. Giuliani, V. Mastropietro, F. L. Toninelli, Height fluctuations in interacting dimers, Ann. Inst. Henri Poincare' (Prob. Stat) 53 (2017), 98-168, arXiv

winner of the 2016-2017 "Best article prize" at AIHP B

[3] P. Caputo, F. Martinelli, F. L. Toninelli, On the probability of staying above a wall for the (2+1)-dimensional SOS model at low temperature, to Prob. Theory Rel. Fields 163 (2015), 803-831, arXiv

[2] P. Caputo, E. Lubetzky, F. Martinelli, A. Sly, F. L. Toninelli, Scaling limit and cube-root fluctuations in SOS surfaces above a wall, J. Eur. Math. Soc., 18 (2016), 931-995 arXiv

[1] P. Caputo, E. Lubetzky, F. Martinelli, A. Sly, F. L. Toninelli, The shape of the (2+1)-D SOS surface above a wall, Comptes Rendus - Mathematique 350 (2012), 703-706, arXiv