6 papers
Free energy of non-convex multi-species Ising spin glasses with external fields
Jeanne Boursier, Jean-Christophe Mourrat
We identify the limit free energy of mean-field multi-species spin glasses with +/-1 spins, allowing for the presence of external fields, and without assuming any convexity propert…
Large deviations for the maximum of the generalized TAP free energy
Jeanne Boursier
We study large deviations of the maximum of the generalized TAP free energy introduced by Chen, Panchenko, and Subag for the Ising mixed -spin model. The upper bound uses a new…
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…
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…
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…
Large deviations for the smallest eigenvalue of a deformed GOE with an outlier
Jeanne Boursier, Alice Guionnet
We establish a large deviation principle for the smallest eigenvalue of a random matrix model composed of the sum of a GOE matrix and a diagonal matrix with an outlier. Our result…