3 papers
math.DG2025
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.NT2024
Canonical heights, periods and the Hurwitz zeta function
Rolf Andreasson, Robert J. Berman
Let (X,D) be a projective log pair over the ring of integers of a number field such that the log canonical line bundle K_(X,D) or its dual -K_(X,D) is relatively ample. We introduc…