17/01/2024, 16:00 — 17:00 — Online
Christophe Garban, Camille Jordan Institute
Fluctuations of the Discrete Gaussian Chain
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.
