Dynamical Systems and Analysis Seminar - Michael Dymond
| Dates: | 18 November 2024 |
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| Times: | 14:00 - 14:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Michael Dymond (University of Birmingham)
Title: Comparing separated nets in Euclidean spaces
Abstract: Separated nets of Euclidean spaces, sometimes called Delone sets in the literature, are studied in connection with Dynamical Systems, Ergodic Theory and Quasicrystals in Mathematical Physics. We will discuss the question of the extent to which any two separated nets of the same Euclidean space may differ as discrete metric spaces. Our approach to this will be to assess the degree of control, or regularity, with which one separated net may be mapped bijectively to the other. This leads further to the question of extendibility of mappings defined on a separated net, preserving regularity. We present some recent progress on the extension question for bilipschitz mappings of planar separated nets. This is joint work with Vojt?ch Kaluža (IST Austria).
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
