Gaussian multiplicative chaos through the lens of the 2D Gaussian free field

The aim of this review-style paper is to provide a concise, self-contained and unified presentation of the construction and main properties of Gaussian multiplicative chaos (GMC) measures for log-correlated fields in 2D in the subcritical regime. By considering the case of the 2D Gaussian free field, we review convergence, uniqueness and characterisations of the measures; revisit Kahane's convexity inequalities and existence and scaling of moments; discuss the measurability of the underlying field with respect to the GMC measure and present a KPZ relation for scaling exponents.Comment: 28p, less typos in the 3rd, published version, still no figures, I remain thankful for comment

Intergroup contact throughout the lifespan modulates implicit racial biases across perceivers’ racial group

Few researchers have investigated how contact across the lifespan influences racial bias and whether diversity of contact is beneficial regardless of the race of the perceiver. This research aims to address these gaps in the literature with a focus on how diversity in childhood and current contact shapes implicit racial bias across perceivers’ racial group. In two investigations, participants completed an Implicit Association Test and a self-report measure of the racial diversity of their current and childhood contact. In both studies, increased contact with Black compared with White individuals, both in childhood (Study 2) and currently (Studies 1 and 2), was associated with reduced implicit pro-White racial bias. For Black individuals (Study 2) more contact with Black compared with White individuals also was associated with reduced implicit pro-White racial bias. These findings suggest that diversity in contact across the lifespan may be related to reductions in implicit racial biases and that this relationship may generalize across racial groups

Relationship between current contact and implicit racial bias in Study 1.

<p>Higher values on implicit racial bias refer to more pro-White associations and lower numbers refer to more pro-Black associations. Overall, greater diversity in contact (Black contact–White contact) related to lower implicit racial bias (IAT D-scores).</p

Intergroup contact throughout the lifespan modulates implicit racial biases across perceivers’ racial group - Fig 3

<p><b>Relationship between current (Panel A) and childhood contact (Panel B) and implicit racial bias in Study 2 for Black participants.</b> Higher values on implicit racial bias refer to more pro-White associations and lower numbers refer to more pro-Black associations. Overall, greater current ingroup contact (Black contact–White contact) related to lower own-group implicit racial bias (IAT D-scores).</p