Skewness and kurtosis parameters are the quantities to probe non-Gaussianities of density fluctuations. By introducing some spatial derivatives, we can define multiple skewness and kurtosis parameters. We argue that the consistency relations among observables of the skewness and kurtosis parameters can be derived, particularly focusing on the kurtosis parameters in this talk. The...
Cosmological large-scale structure is a nonlinear stochastic process governed mainly by gravity. Its statistical properties depend on the initial conditions and the energy components that constitute the universe. Therefore, extracting information on these fundamental cosmological problems from observational data is an inverse problem. The computational cost of numerical simulations is a...