We consider two models of self-interacting random walks. The first model, called "excited random walk", cf. , is a lattice random walks with bias, the strength of which at any given site depends on how often the walker has visited that site before. The consider recurrence/transience and the speed of such walks. The second model, called the "rancher", see , is a planar random walk which takes steps of length one but avoids the convex hull of its past positions. We show that this walk has positive lim inf speed.
 I. Benjamini, D. Wilson: Excited random walk. ECP 8 (2003) 86-92.
 O. Angel, I. Benjamini, B. Virag: Random walks that avoid their past convex hull. ECP 8 (2003) 6-16.