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math.DS2012
Numerical approximation of conditionally invariant measures via Maximum Entropy
Christopher Bose, Rua Murray
It is well known that open dynamical systems can admit an uncountable number of (absolutely continuous) conditionally invariant measures (ACCIMs) for each prescribed escape rate. W…
math.DS2012★ 1 cited
Polynomial decay of correlations in the generalized baker's transformation
Christopher Bose, Rua Murray
We introduce a family of area preserving generalized baker's transformations acting on the unit square and having sharp polynomial rates of mixing for Holder data. The constructio…
math.DS2012★ 1 cited
Ulam's method for Lasota-Yorke maps with holes
Christopher Bose, Gary Froyland, Cecilia González-Tokman +1
Ulam's method is a rigorous numerical scheme for approximating invariant densities of dynamical systems. The phase space is partitioned into connected sets and an inter-set transit…