stylistic:style_transfer, structural:scholar_edition
Heterogeneous generalization

The heterogeneous random walk draws in each time step a random number that determines the local jumping probabilities and then a random number that determines the actual jump direction. The main question is the probability of staying in each of the various sites after t {\displaystyle t} jumps, and in the limit of this probability when t {\displaystyle t} is very large.