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math.DS2025
A pseudospectral approach to rigorous numerical estimation of resonances of transfer operators
Alex Blumenthal, Isaia Nisoli, Toby Taylor-Crush
{Ruelle-Pollicott} resonances, isolated eigenvalues of a transfer operator acting on suitably chosen Banach spaces, play a fundamental role in understanding the statistical propert…
math.DS2025
Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
Jacob Bedrossian, Alex Blumenthal, Sam Punshon-Smith
We develop a general framework for establishing non-uniqueness of stationary measures for stochastically forced dynamical systems possessing an almost surely invariant submanifold.…