BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yotam Smilansky (Rutgers University) DTSTART:20200922T123000Z DTEND:20200922T133000Z DTSTAMP:20260423T021442Z UID:OWNS/16 DESCRIPTION:Title: Mu ltiscale Substitution Tilings\nby Yotam Smilansky (Rutgers University) as part of One World Numeration seminar\n\n\nAbstract\nMultiscale substit ution tilings are a new family of tilings of Euclidean space that are gene rated by multiscale substitution rules. Unlike the standard setup of subst itution tilings\, which is a basic object of study within the aperiodic or der community and includes examples such as the Penrose and the pinwheel t ilings\, multiple distinct scaling constants are allowed\, and the definin g process of inflation and subdivision is a continuous one. Under a certai n irrationality assumption on the scaling constants\, this construction gi ves rise to a new class of tilings\, tiling spaces and tiling dynamical sy stem\, which are intrinsically different from those that arise in the stan dard setup. In the talk I will describe these new objects and discuss vari ous structural\, geometrical\, statistical and dynamical results. Based on joint work with Yaar Solomon.\n LOCATION:https://researchseminars.org/talk/OWNS/16/ END:VEVENT END:VCALENDAR