RT Journal Article T1 Random constructions in Bell Inequalities: a survey A1 Palazuelos, Carlos AB Initially motivated by their relevance in foundations of quantum mechanics and more recently by their applications in different contexts of quantum information science, violations of Bell inequalities have been extensively studied during the last years. In particular, an important effort has been made in order to quantify such Bell violations. Probabilistic techniques have been heavily used in this context with two different purposes. First, to quantify how common the phenomenon of Bell violations is; and second, to find large Bell violations in order to better understand the possibilitiesand limitations of this phenomenon. However, the strong mathematical content of these results has discouraged some of the potentially interested readers. The aim of the present work is to review some of the recent results in this direction by focusing on the main ideas and removing most of the technical details, to make the previous study more accessible to a wide audience. PB Springer SN 1572-9516 YR 2018 FD 2018-01 LK https://hdl.handle.net/20.500.14352/12161 UL https://hdl.handle.net/20.500.14352/12161 LA eng DS Docta Complutense RD 7 abr 2025