UBC Mathematics Department

Colloquium Abstract: Professor Gordon Slade, McMaster University and Microsoft Research

Statistical mechanics and super-Brownian motion

Brownian motion has played a major role in statistical mechanics for a long time. Super-Brownian motion is a more recent construct, which can be used to model tree-based random mass distributions. This lecture will describe recent work showing that super-Brownian motion arises naturally as a scaling limit in the critical behaviour of two statistical mechanical models:
1. lattice trees, a combinatorial model (joint work with Derbez), and
2. percolation, a probabilistic model (joint work with Hara).

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