Romain Panis

One of the main goals of statistical mechanics is to understand critical phenomena of lattice models. This can be achieved by computing the so-called critical exponents, which govern algebraic scaling near or at the critical point. This task is...

In two independent papers, Aizenman and Fröhlich argued that every scaling limit of the critical Ising model in dimensions d > 4 is trivial (or Gaussian). This qualitative result can be reformulated as follows: the Schwinger functions of any...