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Percolation and cellular automata

Sebastian Barbieri Lemp (Universidad de Santiago de Chile)
Speaker
Sebastian Barbieri Lemp (Universidad de Santiago de Chile)
When Nov 04, 2025
from 04:00 PM to 05:00 PM
Where LH-111, First Floor
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COLLOQUIUM TALK


Title: Percolation and cellular automata

Abstract: Given an infinite graph G and $p \in [0,1]$, we say that G percolates with parameter p if the random subgraph obtained by removing each edge with probability 1-p is almost surely infinite. I will give a simple introduction to the theory of percolation on Cayley graphs of finitely generated groups and use it to present a nice application to the theory of celullar automata. Based on joint work with Felipe García-Ramos and Siamak Taati.

Speaker Bio: Sebastian Barbieri Lemp is a faculty member in the Department of Mathematics and Computer Science at the Universidad de Santiago de Chile. His research spans dynamical systems and ergodic theory, with a particular focus on symbolic dynamics, group theory, and computability.
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