# Lyapunov exponents for truncated unitary and Ginibre matrices

@inproceedings{Ahn2021LyapunovEF, title={Lyapunov exponents for truncated unitary and Ginibre matrices}, author={Andrew Ahn and Roger Van Peski}, year={2021} }

In this note, we show that the Lyapunov exponents of mixed products of random truncated Haar unitary and complex Ginibre matrices are asymptotically given by equally spaced ‘picket-fence’ statistics. We discuss how these statistics should originate from the connection between random matrix products and multiplicative Brownian motion on GLn(C), analogous to the connection between discrete random walks and ordinary Brownian motion. Our methods are based on contour integral formulas for products…

## One Citation

Limits and fluctuations of p-adic random matrix products

- MathematicsSelecta Mathematica
- 2021

We show that singular numbers (also known as invariant factors or Smith normal forms) of products and corners of random matrices over $\mathbb{Q}_p$ are governed by the Hall-Littlewood polynomials,…

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