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math.DS2011★ 1 cited
Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems
Gary Froyland, Ognjen Stancevic
We explore the concept of metastability in random dynamical systems, focussing on connections between random Perron-Frobenius operator cocycles and escape rates of random maps, and…
math.DS2010
Spectral degeneracy and escape dynamics for intermittent maps with a hole
Gary Froyland, Rua Murray, Ognjen Stancevic
We study intermittent maps from the point of view of metastability. Small neighbourhoods of an intermittent fixed point and their complements form pairs of almost-invariant sets. T…