3 papers
math.PR2025
One-dimensional particle clouds with elastic collisions
Mikhail Menshikov, Serguei Popov, Andrew Wade
We study an interacting particle system of a finite number of labelled particles on the integer lattice, in which particles have intrinsic masses and left/right jump rates. If a pa…
math.PR2025
Rates of convergence for extremal spacings in Kakutani's random interval-splitting process
Fraser Daly, Andrew Wade
Kakutani's random interval-splitting process iteratively divides, via a uniformly random splitting point, the largest sub-interval in a partition of the unit interval. The length o…
math.PR2024
Central limit theorem for superdiffusive reflected Brownian motion
Aleksandar Mijatović, Isao Sauzedde, Andrew Wade
We study the second-order asymptotics around the superdiffusive strong law~\cite{MMW} of a multidimensional driftless diffusion with oblique reflection from the boundary in a gener…