Open AccessPacking dimensions of basins in the space of sequences
Author(s) -
В. И. Бахтин,
Bruno Sadok
Publication year - 2020
Publication title -
doklady nacionalʹnoj akademii nauk belarusi
Language(s) - English
Resource type - Journals
eISSN - 2524-2431
pISSN - 1561-8323
DOI - 10.29235/1561-8323-2020-64-3-263-267
Subject(s) - alphabet , limit (mathematics) , sequence (biology) , space (punctuation) , dimension (graph theory) , mathematics , structural basin , set (abstract data type) , signal (programming language) , packing dimension , finite set , combinatorics , topology (electrical circuits) , geometry , mathematical analysis , computer science , geology , minkowski–bouligand dimension , paleontology , philosophy , linguistics , biology , genetics , programming language , operating system , fractal dimension , fractal
We consider a space of infinite signals composed of finite-alphabet letters. Each signal generates a sequence of empirical measures on the alphabet and a 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 the packing dimension is computed for each narrow basin.