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math.PR2026
Urn-driven random walks
Srinivasan Balaji, Hosam Mahmoud
The symmetric random walk is known to be recurrent in one and two dimensions, and becomes transient in three or higher dimensions. We compare the symmetric random walk to walks dri…
math.PR2024
On affine multi-color urns grown under multiple drawing
Joshua Sparks, Markus Kuba, Srinivasan Balaji +1
Early investigation of Pólya urns considered drawing balls one at a time. In the last two decades, several authors considered multiple drawing in each step, but mostly for schemes…