Apparaît dans les collections : 100 (102!) Years of the Ising Model, ECM 2024 Invited Speakers

The goal of this talk is to review some of the successes but also the outstanding challenges of the renormalisation group approach to the Ising and \varphi^4 models. I will also try to describe a common perspective of the usual approach to the renormalisation group based on perturbation theory and cluster expansions with some of the substitutes for these, based on random currents or random walks.