**Lattice Random Walk**

A popular random walk model is that of a random walk on a regular lattice, where at each step the location jumps to another site according to some probability distribution. In a **simple random walk**, the location can only jump to neighboring sites of the lattice. In **simple symmetric random walk** on a locally finite lattice, the probabilities of the location jumping to each one of its immediate neighbours are the same. The best studied example is of random walk on the *d*-dimensional integer lattice (sometimes called the hypercubic lattice) .

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