Speaker:
Tom Hutchcroft
Institution:
Caltech
Time:
Wednesday, February 12, 2025 - 3:00pm to 4:00pm
Location:
510R Rowland Hall
Many statistical mechanics models on the lattice (including percolation, self-avoiding walk, the Ising model and so on) have natural "long-range" versions in which vertices interact not only with their neighbours, but with all other vertices in a way that decays with the distance. When this decay is described by a power-law, it can lead to new kinds of critical phenomena that are not present in the short-range models. In this talk I will describe a new approach to the study of these models, leading to some striking new results with surprisingly easy proofs