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math.OC2025
The fastest way through a traffic light
Márton Balázs, Edward Crane, Alexander Tallis
We give a rigorous solution of the problem of minimising the expected delay caused by a red traffic light on a road journey. The problem incorporates constraints on maximum speed,…
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 is the walk which starts at zero and, at step , independently steps either up or down by $…