Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

Modern single-particle-tracking techniques produce extensive time-series of diffusive motion
in a wide variety of systems, from single-molecule motion in living-cells to movement …

Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

Recent studies of QCD Green's functions and their applications in hadronic physics are
reviewed. We discuss the definition of the generating functional in gauge theories, in …

Random matrix theory is a wide and growing field with a variety of concepts, results, and
techniques and a vast range of applications in mathematics and the related sciences. The …

2. Results. The leading-order asymptotics in (1.7), a weak-type Szeg5 theo-rem, can be
proved in greater generality. A heuristic saddle point argument (see [BIPZ]) shows that the …

The asymptotic safety scenario in quantum gravity is reviewed, according to which a
renormalizable quantum theory of the gravitational field is feasible which reconciles …

The d-dimensional Gaussian free field (GFF), also called the (Euclidean bosonic) massless
free field, is ad-dimensional-time analog of Brownian motion. Just as Brownian motion is the …

Single-particle traces of the diffusive motion of molecules, cells, or animals are by now
routinely measured, similar to stochastic records of stock prices or weather data …