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Caltech/UCLA/USC Joint Analysis Seminar

Tuesday, May 17, 2022
4:00pm to 5:00pm
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Online and In-Person Event
Order and disorder in multiscale substitution tilings
Yotam Smilansky, Department of Mathematics, Rutgers University,

UCLA, room MS 6221

The study of aperiodic order and mathematical models of quasicrystals is concerned with ways in which disordered structures can nevertheless manifest aspects of order. In the talk I will describe examples such as the aperiodic Penrose and pinwheel tilings, together with several geometric, dynamical, functional and spectral properties that enable us to measure how far such constructions are from demonstrating lattice-like behavior. A particular focus will be given to new results on multiscale substitution tilings, a class of tilings that was recently introduced jointly with Yaar Solomon.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].