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math.PR2026
Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice
Vinita Mulay, Neeraja Sahasrabudhe, Debleena Thacker
The paper introduces a tampered memory elephant random walk where part of the walk follows the usual elephant random walk and the rest uses independent steps, and it identifies a s…
math.PR2026
Long-range one-dimensional internal diffusion-limited aggregation
Conrado da Costa, Debleena Thacker, Andrew Wade
We study internal diffusion limited aggregation on , where a cluster is grown incrementally by adding, for each random walk dispatched from the origin, the first site i…