Numerical Approximation of Conditionally Invariant Measures via Maximum Entropy

@article{Bose2014NumericalAO,
  title={Numerical Approximation of Conditionally Invariant Measures via Maximum Entropy},
  author={Christopher J. Bose and Rua Murray},
  journal={arXiv: Dynamical Systems},
  year={2014},
  pages={81-104}
}
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. We propose and illustrate a convex optimisation-based selection scheme (essentially maximum entropy) for gaining numerical access to some of these measures. The work is similar to the maximum entropy (MAXENT) approach for calculating absolutely continuous invariant measures of nonsingular dynamical systems but contains… 

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