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We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. The system presents a sequence of layering transitions, whose levels increase with the temperature, before the complete wetting above a certain value of this quantity.doi:10.1063/1.3577625 fatcat:dp7knkxrfvarbpy3buxhj5ivcm