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math.DS2014★ 3 cited
On Transfer Operators and Maps with Random Holes
Wael Bahsoun, Joerg Schmeling, Sandro Vaienti
We study Markov interval maps with random holes. The holes are not necessarily elements of the Markov partition. Under a suitable, and physically relevant, assumption on the noise,…
math.DS2010
Invariant densities and escape rates: Rigorous and computable approximations in the -norm
Wael Bahsoun, Christopher Bose
In this article we study a piecewise linear discretization schemes for transfer operators (Perron-Frobenius operators) associated with interval maps. We show how these can be used…