Algebraic Approaches to Cosmological Integrals

C Fevola, GL Pimentel, AL Sattelberger… - arxiv preprint arxiv …, 2024 - arxiv.org
Cosmological correlators encode statistical properties of the initial conditions of our
universe. Mathematically, they can often be written as Mellin integrals of a certain rational …

Differential Equations for Moving Hyperplane Arrangements

A Pfister, AL Sattelberger - arxiv preprint arxiv:2412.09479, 2024 - arxiv.org
We investigate Mellin integrals of products of hyperplanes, raised to an individual power
each. We refer to the resulting functions as combinatorial correlators. We investigate their …