Elephant random walks and their connection to Pólya-type urns
Elephant random walks and their connection to Pólya-type urns
In this paper, we explain the connection between the elephant random walk (ERW) and an urn model \`a la P\'olya and derive functional limit theorems for the former. The ERW model was introduced in [Phys. Rev. E 70, 045101 (2004)] to study memory effects in a highly non-Markovian setting. More …