Order and disorder in multiscale substitution tilings

Speaker
Yotam Smilansky, Rutgers
Date
14/11/2021 - 17:30 - 16:00Add to Calendar 2021-11-14 16:00:00 2021-11-14 17:30:00 Order and disorder in multiscale substitution tilings 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, functional, dynamical 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.   zoom: https://us02web.zoom.us/j/89761638518 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
zoom: https://us02web.zoom.us/j/89761638518
Abstract

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, functional, dynamical 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.

 

תאריך עדכון אחרון : 11/11/2021