Dubins–Spanier theorems

The Dubins-Spanier theorems are results in the theory of stochastic processes, particularly concerning the behavior of certain classes of random walks, especially in relation to the concepts of ergodicity and recurrence. ### Key Concepts: 1. **Random Walks**: A type of stochastic process that describes a path consisting of a succession of random steps. Random walks can be one-dimensional or multidimensional and are foundational in probability theory.