Geodesic
Hausdorff dimensions of narrow basins in the space of sequences
Trudy Instituta matematiki, Tome 27 (2019) no. 1, pp. 3-12

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We consider a space of infinite signals composed of letters from a finite alphabet. Each signal generates a sequence of empirical measures on the alphabet and the limit set corresponding to this sequence. The space of signals is partitioned into narrow basins consisting of signals with identical limit sets for the empirical measures and for each narrow basin the Hausdorff dimension is computed. 
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     title = {Hausdorff dimensions of narrow basins in the space of sequences},
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V. I. Bakhtin; B. M. Sadok. Hausdorff dimensions of narrow basins in the space of sequences. Trudy Instituta matematiki, Tome 27 (2019) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TIMB_2019_27_1_a0/