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math.PR2024
Road layout in the KPZ class
Márton Balázs, Sudeshna Bhattacharjee, Karambir Das +1
We propose a road layout and traffic model, based on last passage percolation (LPP). An easy naive argument shows that coalescence of traffic trajectories is essential to be consid…
math.PR2023
Geodesic trees in last passage percolation and some related problems
Márton Balázs, Riddhipratim Basu, Sudeshna Bhattacharjee
For the exactly solvable model of exponential last passage percolation on , it is known that given any non-axial direction, all the semi-infinite geodesics starting f…
math.PR2023
Second Class Particle Behaviour in Blocking ASEP
Daniel Adams, Márton Balázs, Jessica Jay
We consider any fixed number of second class particles in the asymmetric simple exclusion process (ASEP), constructed via a basic coupling of two ASEPs. We gi…