The attractor of piecewise expanding maps of the interval
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DOI: 10.1142/s0219493720500094
Abstract: We consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e. the number of ergodic attractors and their corresponding mixing components do not… read more here.
Keywords: expanding maps; maps interval; piecewise expanding; attractor piecewise ... See more keywords
Dimension of the repeller for a piecewise expanding affine map
Sign Up to like & getrecommendations! Published in 2020 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2020.4560
Abstract: In this paper, we study the dimension theory of a class of piecewise affine systems in euclidean spaces suggested by Michael Barnsley, with some applications to the fractal image compression. It is a more general… read more here.
Keywords: dimension repeller; repeller piecewise; piecewise; dimension ... See more keywords