3 papers
math.PR2026
Non-perturbative finite connectivities in supercritical Bernoulli percolation on with
Yacine Aoun, Kamil Khettabi
We solve a longstanding problem in Bernoulli percolation: we derive sharp Ornstein--Zernike asymptotics for the probability that two distant points are connected by a finite cluste…
math-ph2026
Typical geometry of self-repelling polymers in a constant force field
Kamil Khettabi, Yvan Velenik
We study a general class of self-repelling polymers on , including the simple random walk, the self-avoiding walk and the repulsive Domb-Joyce model, in the presence o…
math.PR2023
On the two-point function of the Ising model with infinite range-interactions
Yacine Aoun, Kamil Khettabi
In this article, we prove some results concerning the truncated two-point function of the infinite-range Ising model above and below the critical temperature. More precisely, if th…