4 papers
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 (for , the Rademacher random walk is…
Recurrence, transience and anti-concentration of Rademacher random walks
Satyaki Bhattacharya, Edward Crane, Tom Johnston
The Rademacher random walk associated with a deterministic sequence is the walk which starts at zero and, at step , independently steps either up or down by $…
Forest Fire Model on with Delays
Satyaki Bhattacharya, Stanislav Volkov
We consider a generalization of the forest fire model on with ignition at zero only, studied in [arXiv:0907.1821]. Unlike that model, we allow delays in the spread o…
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…