17 citations · 26 across the 10 of their papers we have counts for
11 papers
Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice
Vinita Mulay, Neeraja Sahasrabudhe, Debleena Thacker
One of the outstanding questions in the theory of elephant random walks as observed by Gut and Stadtmüller (2023), is to determine how much memory is needed for a phase transition…
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…
Positive reinforced generalized time-dependent Pólya urns via stochastic approximation
Wioletta M. Ruszel, Debleena Thacker
Consider a generalized time-dependent Pólya urn process defined as follows. Let be the number of urns/colors. At each time , we distribute balls randomly…
Continuous time digital search tree and a border aggregation model
Svante Janson, Debleena Thacker
We consider the continuous-time version of the random digital search tree, and construct a coupling with a border aggregation model as studied in Thacker and Volkov (2018), showing…
Strong Convergence of Infinite Color Balanced Urns Under Uniform Ergodicity
Antar Bandyopadhyay, Svante Janson, Debleena Thacker
We consider the generalization of the Pólya urn scheme with possibly infinite many colors as introduced in \cite{Th-Thesis, BaTH2014, BaTh2016, BaTh2017}. For countable many colors…
Border aggregation model
Debleena Thacker, Stanislav Volkov
Start with a graph with a subset of vertices called {\it the border}. A particle released from the origin performs a random walk on the graph until it comes to the immediate neighb…