23–27 Jan 2023
Saha Institute of Nuclear Physics
Asia/Kolkata timezone

Beyond-Gaussian statistics for cosmological clustering - k-Nearest Neighbor Distributions

27 Jan 2023, 10:15
30m
Meghnad Saha Auditorium

Meghnad Saha Auditorium

Invited Talks

Speaker

Arka Banerjee (Indian Institute of Science Education and Research)

Description

Statistical measurements of the clustering of galaxies is one of
the main observables from cosmological surveys, containing information both
about the initial conditions of the Universe - such as the physics of
inflation - as well as about those components that drive the expansion of
the Universe today - Dark Energy, the nature of Dark Matter, and
massive neutrinos. While most cosmology analyses in the past have focused
on two-point functions of the galaxy distribution to probe these questions,
there has been growing recognition that there is significant information in
higher order N-point functions of the highly nonlinear galaxy
distributions. In this talk, I will introduce the formalism for a new
measure of cosmological clustering - the k-Nearest Neighbor distributions.
These distributions are formally sensitive to all N-point functions, while
being computationally inexpensive to measure. I will discuss how these
statistics can also be easily extended to describing cross-correlations of
different cosmological datasets. Finally I will discuss the potential
improvements in constraints on various cosmological parameters when using
these statistics over two-point functions, as well as current efforts in
measuring these on actual data.

Author

Arka Banerjee (Indian Institute of Science Education and Research)

Presentation materials