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) .
Read more about this topic: Random Walk
Famous quotes containing the words random and/or walk:
“And catch the gleaming of a random light,
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—Paul Laurence Dunbar (1872–1906)
“I would hope that parents and grown children could be friends. When a friend confides in you that she’s going to do something that you think is most inappropriate, foolhardy or even dangerous, wouldn’t you as a friend say so—in a calm, supportive way? Yet I have to be so careful what I say to my children. I have to walk on eggs to be sure I’m not hurting their feelings or interfering with their lives.”
—Anonymous Parent of Adult Children. Ourselves and Our Children, by Boston Women’s Health Book Collective, ch. 5 (1978)