2 papers
math-ph2026
Short, Quantitative Construction of the IIC in Planar Percolation
Malo Hillairet
The classical definitions of the Incipient Infinite Cluster (IIC) of percolation consist in conditioning the origin on being connected to radius and letting go to infinity.…
math.PR2026
Noise sensitivity in last-passage percolation
Daniel Ahlberg, Malo Hillairet, Ekaterina Toropova
The study of noise sensitivity of Boolean functions was initiated in a seminal paper of Benjamini, Kalai and Schramm, published in 1999. While this study has revealed fascinating p…