PC-priors (Simpson et al (2014, 2015, 2016))

This is the page for the main paper on PC-priors which is available on arxiv.org.  The first techreport was published in 2014.  
Maybe version 3 is the most readable one. 

The code to rerun all the examples in the paper is available here, requiring the most recent testing-version of R-INLA.

There are two blog-entries about this paper (first one, and the second one) in Christian Robert's blog, that are worth reading.