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Testing Tree-Level Perturbation Theory for Large-Scale Structure with the Local Lagrangian Approximation
Zacharias A. M. Protogeros, Adrian L. Melott, Robert J. Scherrer
We test tree-level perturbation theory for Gaussian initial conditions with power spectra by comparing the probability distribution function (PDF) for the density…
Skewness of the Large-Scale Velocity Divergence from Non-Gaussian Initial Conditions
Zacharias A. M. Protogeros, Robert J. Scherrer
We compute the skewness and the corresponding hierarchical amplitude of the divergence of the velocity field for arbitrary non-Gaussian initial conditions. We find that…
Local Lagrangian Approximations for the Evolution of the Density Distribution Function in Large-Scale Structure
Zacharias A. M. Protogeros, Robert J. Scherrer
We examine local Lagrangian approximations for the gravitational evolution of the density distribution function. In these approximations, the final density at a Lagrangian point q…