3 papers
math.DS2026
Non-unique equilibrium measures and freezing phase transitions for matrix cocycles for negative
Reza Mohammadpour, Anthony Quas
We consider a one-step matrix cocycle generated by a pair of non-negative parabolic matrices and study the equilibrium measures for as runs over the real…
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.DS2025
The Relative Variational Principle by Ledrappier and Walters: A survey
Anthony Quas
Ledrappier and Walters's article "A Relativised Variational Principle for Continuous Transformations", J. Lond. Math. Soc. (2) 16 (1977), no.3, 568-576) is a landmark in the develo…