3 papers
math.ST2026
Closed-form linear moments of the two-dimensional angular central Gaussian distribution
Siméon Vareilles
The polar-angle marginal of a centred bivariate Gaussian distribution, obtained after integrating out the radial coordinate, gives the two-dimensional angular central Gaussian (ACG…
hep-th2026
Time as a test-field: the no-boundary universe in motion and a smooth radiation bounce
Federico Piazza, Siméon Vareilles
The proper time of an observer can be introduced as a degree of freedom in quantum cosmology, additional to the existing fields. We review two arguments for using the Schrödinger…
hep-th2025
Cosmological perturbations meet Wheeler DeWitt
Federico Piazza, Siméon Vareilles
We study approximate solutions of the Wheeler DeWitt (WdW) equation and compare them with the standard results of cosmological perturbation theory. In mini-superspace, we introduce…