On the application of large deviation estimates to local solubility in families of varieties
arXiv:2507.08173
Abstract
We apply the Gärtner--Ellis theorem on large deviations to prove a weak version of the Loughran--Smeets conjecture for general fibrations.
15 pages, 1 figure. Version 2: Made corrections to sign error in the exponent appearing in Theorem 1.1 and other parts of the manuscript. Comments welcome