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cs.DS2026
Fully Dynamic Random-Walk Quantities on Undirected Expanders and -Uniform Directed Graphs
Richard Peng, Sushant Sachdeva, Junzhao Yang +1
We study fully dynamic data structures for random-walk quantities on undirected expanders and fast-mixing directed graphs. For an unweighted graph whose normalized Laplacian has sp…
cs.DS2026
Near-Optimal Oracle Bounds for Isotropic Rounding
Yang P. Liu, Richard Peng, Alicia Stepin +1
We give optimal bounds, up to polylogarithmic factors, for rounding convex bodies to near-isotropic position. A convex body in can be rou…
math.NA2026
Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
Noah Amsel, Yves Baumann, Paul Beckman +33
This document presents a series of open questions arising in matrix computations, i.e., the numerical solution of linear algebra problems. It is a result of working groups at the w…