

Lecture 3: What is the Universal Scaling Limit of Random Interface Growth, and What Does It Tell Us?
By Ivan Corwin


Coulomb gas approach to conformal field theory and lattice models of 2D statistical physics
By Stanislav Smirnov
Appears in collection : Limit theorems in dynamics and applications / Théorèmes limites en dynamique et applications
In this talk, we shall first review some projective criteria under which the central limit theorem holds. The projective criteria considered will be the Heyde criterion, the Hannan criterion, the Maxwell-Woodroofe condition and the Dedecker-Rio's condition. We shall also investigate under which projective criteria the reinforced versions of the CLT such as the weak invariance principle or the quenched CLT (and its functional form) still hold.