BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yotam Smilansky (Rutgers University) DTSTART:20200925T161500Z DTEND:20200925T173000Z DTSTAMP:20260423T035907Z UID:NEDNT/2 DESCRIPTION:Title: Mu ltiscale substitution tilings\nby Yotam Smilansky (Rutgers University) as part of New England Dynamics and Number Theory Seminar\n\n\nAbstract\n Multiscale substitution tilings are a new family of tilings of Euclidean s pace that are generated by multiscale substitution rules. Unlike the stand ard setup of substitution tilings\, which is a basic object of study withi n the aperiodic order community and includes examples such as the Penrose and the pinwheel tilings\, multiple distinct scaling constants are allowed \, and the defining process of inflation and subdivision is a continuous o ne. Under a certain irrationality assumption on the scaling constants\, th is construction gives rise to a new class of tilings\, tiling spaces and t iling dynamical systems\, which are intrinsically different from those tha t arise in the standard setup. In the talk I will describe these new objec ts and discuss various structural\, geometrical\, statistical and dynamica l results. Based on joint work with Yaar Solomon.\n LOCATION:https://researchseminars.org/talk/NEDNT/2/ END:VEVENT END:VCALENDAR