A tire for use on an asphalted surface comprises a tread surface () comprising a continuously-smooth part (). The or each continuously-smooth part () comprises a plurality of recessed portions () and a plurality of raised portions (). The recessed portions () and the raised portions () are arranged in such a way that, when the continuously-smooth part () rolls along a surface, the mean top-of-raised-portion pressure exerted on average by that surface on the tops () of the raised portions () is strictly greater than the mean bottom-of-recessed-portion pressure exerted on average by that surface on the bottoms () of the recessed portions ().
