Garrett Wen

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math.PR2026

The sharp SAT/UNSAT phase transition in random ellipsoid fitting

Theodor Misiakiewicz, Garrett G. Wen

Let $x_{1}, \dots, x_{n}$ be independent standard Gaussian vectors in $R^{d}$ . An \emph{ellipsoid fit} is a matrix $S ⪰ 0$ such that $x_{i}^{⊤} S x_{i} = d$ for every $i$ , so t…

math.PR2026

Dynamical mean-field limit and replica-symmetric free energy for the orthogonally-invariant SK model

Zhou Fan, Theodor Misiakiewicz, Leda Wang +1

We study a class of diffusion processes on $R^{n}$ interacting through a symmetric matrix $X \in R^{n \times n}$ . When eigenvectors of $X$ are Haar-uniform on the orth…