Heterogeneous random walk in one dimension

A heterogeneous random walk in one dimension is a type of stochastic process that describes a particle moving along a line where the step sizes and/or probabilities of moving left or right can vary based on certain conditions or locations. This contrasts with a homogeneous random walk, where each step is taken with the same probability and magnitude. In a one-dimensional heterogeneous random walk, several key features may characterize the movement: 1. **Variable Step Sizes**: The distance the walker takes in each step may vary.