Universality for bootstrap percolation

Add to your list(s) Download to your calendar using vCal

• Rob Morris (IMPA)
• Wednesday 01 May 2024, 14:30-15:30
• MR12.

If you have a question about this talk, please contact ibl10.

In this talk I will give an overview of the proof of the “Universality Conjecture” for general bootstrap percolation models. Roughly speaking, the conjecture states that every d-dimensional monotone cellular automaton is a member of one of d+1 universality classes, which are characterized by their behaviour on sparse random sets. More precisely, it states that if sites of the lattice Z^d are initially infected independently with probability p, then the expected infection time of the origin is either infinite, or is a tower of height r for some r \in {1,...,d}. I will also describe an uncomputability result regarding the exponent of p at the top of the tower.

Based on joint work with Paul Balister, Béla Bollobás and Paul Smith.

This talk is part of the Combinatorics Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• Combinatorics Seminar
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• MR12
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.