Abstract
This chapter is divided into three parts. I start with a review of the existence results of SRB–measures for coupled map lattices. In the second part I give a brief introduction to the behaviour of Hausdor. dimension under general projections. Finally, I construct a counterexample to the Bricmont–Kupiainen conjecture and discuss its role in the definition of SRB–measures for coupled map lattices.
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Järvenpää, E. SRB-Measures for Coupled Map Lattices. In: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems. Lecture Notes in Physics, vol 671. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11360810_5
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DOI: https://doi.org/10.1007/11360810_5
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