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SUMMARY:Random walks on decorated Galton-Watson trees - Ellie Archer (Tel 
 Aviv)
DTSTART:20210202T140000Z
DTEND:20210202T150000Z
UID:TALK157030@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Random trees are the building blocks for a range of probabilis
 tic structures\, including percolation clusters on the lattice and a range
  of statistical physics models on random planar maps. In this talk we cons
 ider a random walk on a critical "decorated" Galton-Watson tree\, by which
  we mean that we first sample a critical Galton-Watson tree T\, replace ea
 ch vertex of degree n with an independent copy of a graph G(n)\, and then 
 glue these inserted graphs along the tree structure of T. We will determin
 e the random walk exponents for this decorated tree model in terms of the 
 exponents for the underlying tree and the exponents for the inserted graph
 s. We will see that the model undergoes several phase transitions dependin
 g on how these exponents balance out.\n
LOCATION:Zoom
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