INVARIANT MEASURES FOR HIGHER DIMENSIONAL MARKOV SWITCHING POSITION DEPENDENT RANDOM MAPS

DOI10.1142/S021812740902297XzbMath1170.37301OpenAlexW2149690228MaRDI QIDQ3398178

Md. Shafiqul Islam

Publication date: 25 September 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812740902297x

zbMATH Keywords

Markov switchingrandom mapsabsolutely continuous invariant measuresFrobenius--Perron operatorGuisti's bounded variation

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Cites Work

• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Why computers like Lebesgue measure
• Absolutely continuous invariant measures for random maps with position dependent probabilities
• Ulam's method for random interval maps
• Entropy computing via integration over fractal measures
• Position dependent random maps in one and higher dimensions
• Markov Switching for Position Dependent Random Maps with Application to Forecasting

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