@inbook{333ec1bc8e5b4b24a58f873b47944240,
title = "Upper Bounds on the Percolation Correlation Length",
abstract = "We study the size of the near-critical window for Bernoulli percolation on ℤd. More precisely, we use a quantitative Grimmett–Marstrand theorem to prove that the correlation length, both below and above criticality, is bounded from above by exp (C∕ | p− pc| 2). Improving on this bound would be a further step towards the conjecture that there is no infinite cluster at criticality on ℤd for every d ≥ 2.",
author = "Hugo Duminil-Copin and Gady Kozma and Vincent Tassion",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2021",
month = nov,
day = "4",
doi = "10.1007/978-3-030-60754-8_16",
language = "الإنجليزيّة",
series = "Progress in Probability",
publisher = "Birkhauser",
pages = "347--369",
editor = "{Eul{\'a}lia Vares}, Maria and Roberto Fern{\'a}ndez and {Renato Fontes}, Luiz and {M. Newman}, Charles",
booktitle = "Progress in Probability",
address = "سويسرا",
}