Recent Progress on the Exact Overlaps Conjecture
Seminar
Speaker
Ariel Rapaport (University of Cambridge)
Date
04/11/2020 - 17:00 - 16:00Add to Calendar
2020-11-04 16:00:00
2020-11-04 17:00:00
Recent Progress on the Exact Overlaps Conjecture
A well known conjecture in fractal geometry says that the dimension of a self-similar measure is strictly smaller than its natural upper bound only in the presence of exact overlaps. That is, only if the maps in the generating iterated function system do not generate a free semigroup. I will present recent developments regarding this conjecture, focusing on my joint work with P. Varjú regarding homogeneous systems of three maps
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אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
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Abstract
A well known conjecture in fractal geometry says that the dimension of a self-similar measure is strictly smaller than its natural upper bound only in the presence of exact overlaps. That is, only if the maps in the generating iterated function system do not generate a free semigroup. I will present recent developments regarding this conjecture, focusing on my joint work with P. Varjú regarding homogeneous systems of three maps
תאריך עדכון אחרון : 27/10/2020
