Znanstveni kolokviji

Quasi-crystals were first produced in laboratories in the mid ’80’s and
have recently been discovered in nature. These are highly ordered, but non-periodic,
materials with diffraction spectra exhibiting Bragg peaks (bright spots) much like true
crystals. Mathematical models of quasi-crystals are now well developed and it turns
out that Topological Dynamics plays a surprising role in the analysis of the diffraction
properties of these models. I’ll explain this connection and give a brief introduction
to the Pisot Conjecture, which, roughly, asserts that all quasi-crystals created from a
“Pisot” substitution have pure point diffraction spectra.