Landscapes of spin glass models

Research Project

01.01.2021

- 31.12.2022

We explore the Hamiltonians of spin glass models viewed as random landscapes on high dimensional manifolds. Main questions involve the number of their critical points and its asymtotics behaviour when the dimension diverges.

Publications

Belius, David et al. (2022) ‘Triviality of the Geometry of Mixed $p$-Spin Spherical Hamiltonians with External Field’, Journal of statistical physics, 186, p. 12. Available at: https://doi.org/10.1007/s10955-021-02855-6.

URLs

Members (2)

Jiří Černý

Principal Investigator

David Belius

Co-Investigator

Research Groups

Probability theory