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Dynamical Systems and Analysis Seminar - Ian Morris

Dates:4 November 2024
Times:14:00 - 14:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Analysis and dynamical systems"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

Speaker: Ian Morris (Queen Mary University)

Title: Projections and sum sets of self-affine fractals

Abstract: I will describe some recent joint work with Ça?r? Sert in which we establish a Falconer-like formula for the dimensions of arbitrary projected images of self-affine fractals. As applications we give examples of self-affine fractals which have large sets of exceptional projections in the sense of Marstrand's theorem; self-affine sets which have small sum sets; and projections and convolutions of natural measures on self-affine sets which fail to be exact-dimensional.

Room: Frank Adams 1

Further information: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_analysis

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Frank Adams 1
Alan Turing Building
Manchester

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Yotam Smilansky

yotam.smilansky@manchester.ac.uk

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