3 papers
math.PR2026
Limit Profiles for Separation Distance
Peter E. Francis, Evita Nestoridi
This paper studies limit profiles for the separation distance. A limit profile records the limiting shape of the distance to stationarity inside the cutoff window, at times of the…
math.HO2024
Secrets and Quantifiers
Bela Bajnok, Peter E. Francis
A close look at double-quantified statements in a playful setting.
math.PR2023
Permutations from Random Walk
Peter E. Francis, Evita Nestoridi, Peter Winkler
Xavier and Yushi run a "random race" as follows. An atomless probability distribution on the real line is chosen. The runners begin at zero. At time Xavier draws $\mathbf{X…