Work

How much do increasing events occur disjointly?

Year: 2026

Type: preprint

Abstract: We establish two general quantitative lower bounds on the gap in the classical BK inequality for increasing events. The first is an analogue of Talagrand's quantitative FKG inequality (1996) and depends on the influences. The second is specific to the BK inequality and involves both the influences and the probabilities of symmetric disjoint pivots.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.32658

Author: Tesio, Pierre

Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223648610

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