4 papers
Optimal Transport Reconstruction of Biased Tracers in Primordial Non-Gaussian Fields
Farnik Nikakhtar, Ravi K. Sheth, Nikhil Padmanabhan +2
Optimal transport provides an efficient method to infer the displacement of objects by mapping their initial positions to their present-day locations over cosmic time; equivalently…
Monge-Ampère gravitating fluids. Least action principles and particle systems
Christian Léonard, Roya Mohayaee
The Monge-Ampère gravitation theory (MAG) was introduced by Brenier in 2011 to obtain an approximate solution of the early Universe reconstruction problem. It is a modification of…
Weak Lensing Low Multipoles
Albert Bonnefous, Roya Mohayaee
We analyse the low--multipole components of the weak-lensing convergence field in a FLRW universe. The low--multipole convergence field, encodes the largest-angle coherent potentia…
Monge-Ampère gravity, optimal transport theory and their link to the Galileons
Albert Bonnefous, Yann Brenier, Roya Mohayaee
Mathematicians have been proposing for sometimes that Monge-Ampère equation, a nonlinear generalization of the Poisson equation, where trace of the Hessian is replaced by its dete…