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math.PR2025
Effective Gaps between singular values of non-stationary matrix products subject to non-degenerate noise
Sam Bednarski, Jonathan DeWitt, Anthony Quas
We study the singular values and Lyapunov exponents of non-stationary random matrix products subject to small, absolutely continuous, additive noise. Consider a fixed sequence of m…
math.PR2021
The Lightning Model
James Campbell, Alexandra Deane, Anthony Quas
We introduce a non-standard model for percolation on the integer lattice . Randomly assign to each vertex a potential, denoted , chosen indepe…