Directional splitting of Gaussian density in non‐linear random variable transformation

Nonlinear Evolution of Genus in Primordial Random { Gaussian Density Field

The genus statistics is studied using large N -body simulations for several cosmological models. We consider the e ects of nonlinear gravitational evolution, smoothing the particle data in fully nonlinear regime, and the redshift-space distortion on the genus curve. Detailed comparison between the theoretical prediction in weakly nonlinear theory and the appropriate simulation results shows tha...

Autoregressive Gaussian Random Vectors of First Order

A Dimensional Splitting Method for Nonlinear Equations with Variable Coefficients

A numerical method is presented for the variable coeecient, nonlinear ad-vection equation u t + P d i=1 V i (x; t)f i (u) xi = 0 in arbitrary space dimension for bounded velocities that are Lipschitz continuous in the x variable. The method is based on dimensional splitting and uses a recent front tracking method to solve the resulting one-dimensional non-conservative equations. The method is u...

Evolution of Genus in Primordial Random { Gaussian Density Field

The genus statistics is studied using large N -body simulations for several cosmological models. We consider the e ects of nonlinear gravitational evolution, smoothing the particle data in fully nonlinear regime, and the redshift-space distortion on the genus curve. Detailed comparison between the theoretical prediction in weakly nonlinear theory and the appropriate simulation results shows tha...

Expected Number of Local Maxima of Some Gaussian Random Polnomials