  We study the behavior of black hole singularities across the Hawking-Page
phase transitions, uncovering possible connections between the physics inside
and outside the horizon. We focus on the case of spacelike singularities in
Einstein-scalar theory which are of the Kasner form. We find that the Kasner
exponents are continuous and non-differentiable during the second order phase
transitions, while discontinuous in the first order phase transitions. We give
some arguments on the universality of this behavior. We also discuss possible
observables in the dual field theory which encode the Kasner exponents.
