From the 1 of 4 linked papers with an AI index.
4 papers
Quadratic effective energy--momentum tensor on uniform-density hypersurfaces during slow-roll inflation
Inyong Cho
We investigate the quadratic-order effective energy--momentum tensor (2EMT) of scalar cosmological perturbations on uniform-density hypersurfaces during slow-roll inflation. The 2E…
Many-point tropical relaxation and the Monge--Ampère equation
Nikita Kalinin, Ernesto Lupercio, Higinio Serrano +1
The authors develop a tropical approximation scheme for the planar Aleksandrov Monge‑Ampère equation using concave tropical series defined by point clouds, and prove that the scale…
Limits of Equi-Affine Equi-Distant Loci of Planar Convex Domains with Two Non-Parallel Asymptotes
Nikita Kalinin, Mikhail Shkolnikov
In this note, we introduce equi-affine invariants by averaging over the space of tropical structures of fixed covolume. Applied to the tropical distance series, this construction p…
Algebraic Limits of Sandpiles
Mikhail Shkolnikov
The paper contributes to building algebraic foundations of self-organized criticality answering a previously unsolved question about the limiting structure of the extended sandpile…