Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Simulating integrated Volterra square-root processes and Volterra Heston models via Inverse Gaussian

We introduce a novel simulation scheme, iVi (integrated Volterra implicit), for integrated Volterra square-root processes and Volterra Heston models based on the Inverse Gaussian distribution. The scheme is designed to handle $L^1$ kernels with singularities by relying solely on integrated kernel qu

Holy Grail Math 8.5 Rigor 6 ·  April 28, 2025

Eigenvector Overlaps of Random Covariance Matrices and their Submatrices

We consider the singular vectors of any $m \times n$ submatrix of a rectangular $M \times N$ Gaussian matrix and study their asymptotic overlaps with those of the full matrix, in the macroscopic regime where $N ,/, M,$, $m ,/, M$ as well as $n ,/, N$ converge to fixed ratios. Our method makes

Lab Rats Math 9 Rigor 2 ·  January 15, 2025

Interlacing Eigenvectors of Large Gaussian Matrices

We consider the eigenvectors of the principal minor of dimension $n< N$ of the Dyson Brownian motion in $\mathbb{R}^{N}$ and investigate their asymptotic overlaps with the eigenvectors of the full matrix in the limit of large dimension. We explicitly compute the limiting rescaled mean squared overla

Lab Rats Math 8.5 Rigor 2 ·  September 25, 2024

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