3 papers
math.PR2026
Geodesics and Wandering Exponents in Brochette First-Passage Percolation
Maxime Marivain
We study geodesics in the Brochette first-passage percolation model, where edges on the same axis-parallel line share a common random passage time, inducing long-range dependence.…
math.CO2025
Longest increasing subsequences for distributions with atoms, and an inhomogeneous Hammersley process
Anne-Laure Basdevant, Lucas Gerin, Maxime Marivain
A famous result by Hammersley and Versik-Kerov states that the length of the longest increasing subsequence among iid continuous random variables grows like .…
math.PR2025
Brochette first-passage percolation
Maxime Marivain
We investigate a novel first-passage percolation model, referred to as the Brochette first-passage percolation model, where the passage times associated with edges lying on the sam…