3 papers
math.DG2026
Gibbs polystability of Fano manifolds, stability thresholds and symmetry breaking
Rolf Andreasson, Robert J. Berman, Ludvig Svensson
We extend the probabilistic approach for constructing Kahler-Einstein metrics on log Fano manifolds X - involving random point processes - to the case of non-discrete automorphism…
math-ph2025
Critical temperatures and collapsing of two-dimensional Log gases
Rolf Andreasson, Ludvig Svensson
We consider the canonical ensemble of a system of point particles on the sphere interacting via a logarithmic pair potential. In this setting, we study the associated Gibbs measure…
math.AP2025
Regularity of the solution to a real Monge--Ampère equation on the boundary of a simplex
Rolf Andreasson, Jakob Hultgren, Mattias Jonsson +2
Motivated by conjectures in Mirror Symmetry, we continue the study of the real Monge--Ampère operator on the boundary of a simplex. This can be formulated in terms of optimal tran…