2 Novembre, 2020 15:30
Dipartimento di Matematica del Politecnico di Milano
Between discrete and continuous: cellular automata and laplacian on the Sierpinski gasket
Eugene Stepanov, Steklov Research Institute of Mathematics of the Russian Academy of Sciences St. Petersburg
Dipartimento di Matematica, Politecnico di Milano (on line)
Abstract
We will introduce and study some discrete dynamical models intrinsically related to "continuous" ones.
In particular, the following topics will be addressed.
A. Cellular automata and related dynamical systems. Fractals through celluar automata. The game of "Life".
B. Sierpinski gasket, laplacian on the Sierpinski gasket as a limit of ``discrete laplacians''. Spectrum of the laplacian and
harmonic functions on the Sierpinsky gasket.