Alexander Katsevich

activity

20242026

collaborators

3 papers

math.CA2026

High-dimensional Laplace asymptotics up to the concentration threshold

Alexander Katsevich, Anya Katsevich

We study high-dimensional Laplace-type integrals $I (λ) := (λ /2 π)^{d /2} \int_{R^{d}} g (x) e^{- λ f (x)} d x$ in the regime where both $d$ and $λ$ are large. Existing rigorous Laplace-e…

math.NA2025

Local Characterization of Noise in Iterative Reconstruction of the Generalized Radon Transform

Alexander Katsevich

We study noise in iterative reconstruction from discrete noisy data of a generalized Radon transform in the plane. Our approach builds on Local Reconstruction Analysis (LRA), a fra…

math.NA2024

Local analysis of iterative reconstruction from discrete generalized Radon transform data in the plane

Alexander Katsevich

Local reconstruction analysis (LRA) is a powerful and flexible technique to study images reconstructed from discrete generalized Radon transform (GRT) data, $g = R f$ . The m…