3 papers
math.PR2026
The Legendre structure of the TAP complexity for the Ising spin glass
Jeanne Boursier
We study the complexity of the Thouless-Anderson-Palmer (TAP) free energy for Ising spin glasses with a general mixed p-spin covariance, working with the generalized TAP functional…
math-ph2025
Multipole and Berezinskii-Kosterlitz-Thouless Transitions in the Two-component Plasma
Jeanne Boursier, Sylvia Serfaty
We study the two-dimensional two-component Coulomb gas in the canonical ensemble and at inverse temperature . In this regime, the partition function diverges and the interacti…
math-ph2024
Dipole Formation in the Two-Component Plasma
Jeanne Boursier, Sylvia Serfaty
We consider the two-dimensional two-component plasma, or Coulomb gas, consisting of positive and negative charges with logarithmic interaction. We introduce a suitable regu…