  The cosmic web is a complex spatial pattern of walls, filaments, cluster
nodes and underdense void regions. It emerged through gravitational
amplification from the Gaussian primordial density field. Here we infer
analytical expressions for the spatial statistics of caustics in the evolving
large-scale mass distribution. In our analysis, following the quasi-linear
Zeldovich formalism and confined to the 1D and 2D situation, we compute number
density and correlation properties of caustics in cosmic density fields that
evolve from Gaussian primordial conditions. The analysis can be
straightforwardly extended to the 3D situation. We moreover, are currently
extending the approach to the non-linear regime of structure formation by
including higher order Lagrangian approximations and Lagrangian effective field
theory.
