Abstract:
We consider the energy landscape near the global maximum of smooth Gaussian random fields on spheres. A key focus is determining whether the largest eigenvalue of the Hessian is zero—a condition known as marginal stability in physics. In this talk, I will show that the model exhibits marginal stability phase transitions across the critical external field according to its replica symmetry breaking levels, a phenomenon predicted in physics literature for Euclidean random landscape. This talk is based on joint work with Hao Xu (Central South University) and Haoran Yang (Peking University).
Biography:
Qiang Zeng is an associated professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. His research interests lie in spin glasses and noncommutative probability with specific topics including noncommutative concentration inequalities, replica symmetry breaking and landscape complexity.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.