Pólya-Eggenberger urn-driven walks are recurrent only in one dimension and null recurrent there, while Friedman urn-driven walks match symmetric random walk recurrence in one and two dimensions with simulations suggesting positive recurrence in one dimension.
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Urn-driven random walks
Pólya-Eggenberger urn-driven walks are recurrent only in one dimension and null recurrent there, while Friedman urn-driven walks match symmetric random walk recurrence in one and two dimensions with simulations suggesting positive recurrence in one dimension.