3 papers
math.SP2026
Character tables are ideal Perron similarities
David Z. Gershnik, Alexander J. Lewis, Pietro Paparella
An invertible matrix is called a Perron similarity if it diagonalizes an irreducible, nonnegative matrix. Each Perron similarity gives a nontrivial polyhedral cone, called the spec…
math.ST2025
Sampling and estimation on manifolds using the Langevin diffusion
Karthik Bharath, Alexander Lewis, Akash Sharma +1
Error bounds are derived for sampling and estimation using a discretization of an intrinsically defined Langevin diffusion with invariant measure $\text{d}μ_Ï\propto e^{-Ï} \mat…
stat.CO2024
The Double Emulator
Conor Crilly, Oliver Johnson, Alexander Lewis +1
Computer models (simulators) are vital tools for investigating physical processes. Despite their utility, the prohibitive run-time of simulators hinders their direct application fo…