Consider the following modification of a simple random walk (SRW) on Z^d, d>=1. The usual SRW chooses its direction at random uniformly from all 2d possibilities at every moment of time . But now suppose that at time n=0,1,2,... the walk just keeps going in the same direction it was going previously, and only decides to update its direction with probability p_n, where p_n is a given (non-random) sequence. Is this walk recurrent/transient? What is its scaling limit? I am going to answer these questions during my talk. Based on the joint work with János Engländer.