11 citations · 11 across the 2 of their papers we have counts for
8 papers
Loewner Chains
Michel Bauer, Denis Bernard
These lecture notes on 2D growth processes are divided in two parts. The first part is a non-technical introduction to stochastic Loewner evolutions (SLEs). Their relationship with…
SLE, CFT and zig-zag probabilities
Michel Bauer, Denis Bernard
The aim of these notes is threefold. First, we discuss geometrical aspects of conformal covariance in stochastic Schramm-Loewner evolutions (SLEs). This leads us to introduce new `…
Conformal field theories in random domains and stochastic Loewner evolutions
Denis Bernard
We review the recently developed relation between the traditional algebraic approach to conformal field theories and the more recent probabilistic approach based on stochastic Loew…
Turbulence for (and by) amateurs
Denis Bernard
Series of lectures on statistical turbulence written for amateurs but not experts. Elementary aspects and problems of turbulence in two and three dimensional Navier-Stokes equation…
(Perturbed) Conformal Field Theory Applied To 2D Disordered Systems: An Introduction
Denis Bernard
We describe applications of (perturbed) conformal field theories to two-dimensional disordered systems. We present various methods of study~: (i) {\it A direct method} in which we…
The Yangian Deformation of the W-Algebras and and the Calogero-Sutherland model
Denis Bernard, Kazuhiro Hikami, Miki Wadati
The Yangian symmetry Y(su()) of the Calogero-Sutherland-Moser spin model is reconsidered. The Yangian generators are constructed from two non-commuting su()-loop algebras. Th…