Women in Dynamical Systems & Ergodic Theory
timetable:
Mon 20 May, 17:00 - 18:00, Aula Dini
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Dimensions for infinitely generated self-affine sets and restricted digit sets for signed L\"uroth expansions
speaker: Charlene Kalle (Leiden University)abstract: For countably infinite IFSs on the plane consisting of contractions with diagonal linear parts we give conditions under which we can relate the Hausdorff, affinity and lower box-counting dimensions. Moreover, we identify a family of countably infinite IFSs for which the Hausdorff and affinity dimensions are equal and which have full dimension spectrum. The corresponding self-affine sets are related to sets of numbers for which their signed L\"uroth expansions satisfy certain restrictions.
timetable:
Mon 20 May, 17:00 - 18:00, Aula Dini
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