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Preprint Oct 2026

Non-perturbative finite connectivities in supercritical Bernoulli percolation on $\mathbb{Z}^d$ with $d\geq 3$

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 cluster in the whole supercritical regime. Our proof has two main ingredients. First, the renewal structure from Fridbergh and Hammond (2024) yiel...

Y. Aoun, Kamil Khettabi · 0 citations
Aug 2026

Impact of Cu incorporation on the structural, optical, and electrical properties of SnO 2 thin films deposited by solar spray pneumatic method

Copper-doped SnO 2 thin films, with doping varying from 0 to 7% were successfully deposited on glass substrates using the solar spray pneumatic at 450 ± 15 °C. X-ray diffraction confirmed that all samples are polycrystalline with a tetragonal rutile structure, with a preferential orientation along the (110) plane....

A. Sbaihi, Abderrezak Gharbi, Y. Aoun et al. · 0 citations

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