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Douglas Howroyd (St Andrews) - On the Hausdorff dimension of microsets

Dates:30 September 2019
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
Speaker:Douglas Howroyd
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  • Department of Mathematics

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

Douglas Howroyd (St Andrews) will be speaking at this research seminar, part of the Dynamical Systems and Analysis seminar series.

Abstract: Microsets heuristically represent all small scale behaviour of a set and their dimensions should therefore be related to the dimensions of the set itself. We will see how the Assouad and lower dimensions can be recovered from the Hausdorff dimensions of all microsets. Then, given a subset of the unit interval D, we will construct a set such that the set of Hausdorff dimensions attained by its microsets is exactly equal to D. This is joint work with Jonathan Fraser, Antti Käenmäki and Han Yu.

Speaker

Douglas Howroyd

Organisation: University of St Andrews

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Frank Adams 1
Alan Turing Building
Manchester

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Tom Kempton

thomas.kempton@manchester.ac.uk

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