Satyaki Bhattacharya

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20222025

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math.PR2025

Recurrence, transience and anti-concentration of Rademacher random walks

Satyaki Bhattacharya, Edward Crane, Tom Johnston

The Rademacher random walk associated with a deterministic sequence $(a_{n})_{n \geq 1}$ is the walk which starts at zero and, at step $i$ , independently steps either up or down by $…

math.PR2025

Two-dimensional Rademacher walk

Satyaki Bhattacharya, Stanislav Volkov

We study a generalisation of the one-dimensional Rademacher random walk introduced in Bhattacharya and Volkov (2023) to $Z^{2}$ (for $d \geq 3$ , the Rademacher random walk is…

math.PR2024

Forest Fire Model on $Z_{+}$ with Delays

Satyaki Bhattacharya, Stanislav Volkov

We consider a generalization of the forest fire model on $Z_{+}$ with ignition at zero only, studied in [arXiv:0907.1821]. Unlike that model, we allow delays in the spread o…

math.PR2023

Transience of continuous-time conservative random walks

Satyaki Bhattacharya, Stanislav Volkov

We consider two continuous-time generalizations of conservative random walks introduced in [J.Englander and S.Volkov (2022)], an orthogonal and a spherically-symmetrical one; the l…

math.PR2022

Recurrence and transience of Rademacher series

Satyaki Bhattacharya, Stanislav Volkov

We introduce the notion of {\bf a}-walk $S (n) = a_{1} X_{1} + \dots + a_{n} X_{n}$ , based on a sequence of positive numbers $a = (a_{1}, a_{2}, \dots)$ and a Rademacher sequence $X_{1}, X_{2}, \dots$ . W…

Recurrence, transience and anti-concentration of Rademacher random walks

Two-dimensional Rademacher walk

Forest Fire Model on Z+​ with Delays

Transience of continuous-time conservative random walks

Recurrence and transience of Rademacher series

Forest Fire Model on $Z_{+}$ with Delays