%0 Journal Article %T Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions %A Pawe£¿ Biernat %A Piotr Bizo¨½ %J Mathematics %D 2014 %I arXiv %R 10.1007/s00220-015-2404-y %X We consider equivariant wave maps from the $(d+1)$--dimensional Minkowski spacetime into the $d$-sphere for $d\geq 4$. We find a new explicit stable self-similar solution and give numerical evidence that it plays the role of a universal attractor for generic blowup. An analogous result is obtained for the $SO(d)$ symmetric Yang-Mills field for $d\geq 6$. %U http://arxiv.org/abs/1409.8214v1