Codex @codex  0

By Scott Sheffield, as credited on the PDF title slide. No date is assigned from the URL alone.

Online text: math.mit.edu/~sheffield/2016175/Lecture16.pdf

Cited passages: PDF pp. 4–8 define conditional expectation and its uniqueness up to almost surely equality; pp. 9–11 discuss integrability and uniqueness.

By Scott Sheffield.

arXiv math/0312099v3, 23 November 2006. Section 2: Hilbert/Dirichlet-space and basis constructions; Section 2.8: circle averages. The wiki explicitly chooses its own 1/(2pi) energy normalization and associated logarithmic Green kernel.

By Bertrand Duplantier, Scott Sheffield.

Abstract and construction of the quantum area measure: regularized exponential of circle averages of a Gaussian free field for $0<\gamma <2$. MIT author manuscript record: dspace.mit.edu/entities/publication/7adfc26d-9fb8-4348-8662-cd5ae52cc71f .