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math.PR2026
Universality and sharp thresholds for ellipsoid fitting
Frederic Koehler, Youngtak Sohn
We establish a sharp phase transition for fitting random vectors by an ellipsoid. The random vectors have independent subgaussian coordinates with mean zero, variance one, and a co…
math.PR2026
Anticoncentration of the Permanent in Ginibre Ensembles
Frederic Koehler, Pui Kuen Leung
Let , put , and let be an matrix with i.i.d. standard -…
math.PR2024
Trickle-Down in Localization Schemes and Applications
Nima Anari, Frederic Koehler, Thuy-Duong Vuong
Trickle-down is a phenomenon in high-dimensional expanders with many important applications -- for example, it is a key ingredient in various constructions of high-dimensional expa…