3 papers
math.PR2025
Average-weight percolation on the complete graph
Elie Aïdékon, Yueyun Hu
Attach to each edge of the complete graph on vertices, i.i.d. exponential random variables with mean . Aldous [1] proved that the longest path with average weight below …
math.PR2025
Stochastic Flows and Marked Stable Processes
Elie Aïdékon, Quan Shi, Chengshi Wang
We construct a random partition of the space-time plane using two coupled stochastic squared Bessel flows, whose parameters differ by .…
math.PR2024
Meeting of squared Bessel flow lines and application to the skew Brownian motion
Elie Aïdékon, Chengshi Wang, Yaolin Yu
We study the meeting level between squared Bessel (BESQ) flow lines of different dimensions, and show that it gives rise to a jump Markov process. We apply these results to the ske…