Displaying similar documents to “Markov partitions for fibre expanding systems”

A remark on the topological entropies of covers and partitions

Pierre-Paul Romagnoli (2007)

Studia Mathematica

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We study if the combinatorial entropy of a finite cover can be computed using finite partitions finer than the cover. This relates to an unsolved question in [R] for open covers. We explicitly compute the topological entropy of a fixed clopen cover showing that it is smaller than the infimum of the topological entropy of all finer clopen partitions.

Process parameter prediction via markov models of sub-activities

Lino G. Marujo, Raad Y. Qassim (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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This work aims to fill a lacunae in the project-oriented production systems literature providing a formal analytic description of the rework effects formulae and the determination of the extended design time due to a certain degree of overlapping in a pair of activities. It is made through the utilization of concepts of workflow construction with hidden (semi) Markov models theory and establishing a way to disaggregate activities into sub-activities, in order to determine the activity...

Borel isomorphism of SPR Markov shifts

Mike Boyle, Jérôme Buzzi, Ricardo Gómez (2014)

Colloquium Mathematicae

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We show that strongly positively recurrent Markov shifts (including shifts of finite type) are classified up to Borel conjugacy by their entropy, period and their numbers of periodic points.

Entropy of probability kernels from the backward tail boundary

Tim Austin (2015)

Studia Mathematica

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A number of recent works have sought to generalize the Kolmogorov-Sinai entropy of probability-preserving transformations to the setting of Markov operators acting on the integrable functions on a probability space (X,μ). These works have culminated in a proof by Downarowicz and Frej that various competing definitions all coincide, and that the resulting quantity is uniquely characterized by certain abstract properties. On the other hand, Makarov has shown that this...

A note on the entropy of a doubly stochastic operator

Brunon Kamiński, José de Sam Lazaro (2000)

Colloquium Mathematicae

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We investigate the properties of the entropy and conditional entropy of measurable partitions of unity in the space of essentially bounded functions defined on a Lebesgue probability space.