41 citations · 108 across the 18 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.PR2021
A Real-World Markov Chain arising in Recreational Volleyball
David J. Aldous, Madelyn Cruz
Card shuffling models have provided simple motivating examples for the mathematical theory of mixing times for Markov chains. As a complement, we introduce a more intricate realist…
math.PR2021
Route Lengths in Invariant Spatial Tree Networks
David J. Aldous
Is there a constant such that, in any invariant tree network linking rate- Poisson points in the plane, the mean within-network distance between points at Euclidean distan…
math.PR2021
Covering a compact space by fixed-radius or growing random balls
David J. Aldous
Simple random coverage models, well studied in Euclidean space, can also be defined on a general compact metric space. By analogy with the geometric models, and with the discrete c…