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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.PR2023
Leading All The Way
Peter E. Francis, Evita Nestoridi, Peter Winkler
Xavier and Yushi run a ``random race'' as follows. A continuous probability distribution on the real line is chosen. The runners begin at zero. At time Xavier draws $\mathb…