Figure 2

Return probabilities. Each point represents a return, whereas the color encodes the density of points. The top panels correspond to the rank-based recency distribution. The ranks here were shifted to have the highest-ranked locations at \((0,0)\) and a point \((x,y)\) in the histogram represents a return to the \((x+1)\)th most-visited location after \(y+1\) steps. (a) Looking at the return ranks distribution for D1 we can observe that the recency influence is less pronounced in D1 in comparison with D2. (b) On the other hand, the finer-grained data of D2 shows a strong influence of recency. Return probability ratio \(\Pi(K_{f},K_{s})\) for D1 (c) and D2 (d). In particular, signatures of the dominance of recency should manifest themselves in the plot as red for \(x > y\).