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SUMMARY:Universality for bootstrap percolation - Rob Morris (IMPA)
DTSTART:20240501T133000Z
DTEND:20240501T143000Z
UID:TALK216472@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:In this talk I will give an overview of the proof of the\n"Uni
 versality Conjecture" for general bootstrap percolation models. Roughly\ns
 peaking\, the conjecture states that every d-dimensional monotone cellular
 \nautomaton is a member of one of d+1 universality classes\, which are\nch
 aracterized by their behaviour on sparse random sets. More precisely\, it\
 nstates that if sites of the lattice Z^d are initially infected\nindepende
 ntly with probability p\, then the expected infection time of the\norigin 
 is either infinite\, or is a tower of height r for some r \\in\n{1\,...\,d
 }. I will also describe an uncomputability result regarding the\nexponent 
 of p at the top of the tower.\n\nBased on joint work with Paul Balister\, 
 Béla Bollobás and Paul Smith.
LOCATION:MR12
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