Project Details
Projekt
Random matrices and anticoncentration (B08)
Subject Area
Mathematics
Term
since 2025
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 539309657
One of the central achievements in combinatorial random matrix theory is the understanding of the singularity probability of a random n x n matrix with independent {1,-1}-Bernoulli entries, where each entry is 1 with some probability p and -1 with probability 1-p. In particular it has been established that the singularity probability exhibits a phase transition if p is of order log(n)/n. In this project, we aim to establish similar phase transition results for more complicated random matrix models, such as random matrices with constraints, and we will study such phase transitions for more general polynomial anticoncentration problems.
DFG Programme
Collaborative Research Centres
Applicant Institution
Rheinische Friedrich-Wilhelms-Universität Bonn
Project Head
Professorin Lisa Sauermann, Ph.D., since 7/2025
