Abstract:
The "Discrete Gaussian Chain" is a model which extends the celebrated long-range 1D lsing model with 1/r^\alpha interactions. The latter model is known to have a rather intriguing phase-diagram. Instead of having +/- spins, the discrete Gaussian Chain is a random field with values in the integers Z. After introducing this model and its history, I will describe its large scale fluctuations and will compare its phase diagram with the case of long-range Ising model.
Biography:
Christophe Garban is a professor in University Lyon 1. He is working in probability theory and mathematical physics.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.