I would like some good references to learn about the Schramm-Loewner evolution (SLE), for a complex analyst with no background in probability.
A quick google search gave a lot of references on SLE that are exactly the opposite of what I'm looking for, in the sense that they assume strong background in probability and no knowledge of complex analysis.
EDIT (In response to Timothy Chow's comment) :
I guess what I'm looking for is a reference that
(a) does not assume that the reader is familiar with the probability theory needed for SLE (except for the basics), so it should contain the required material on stochastic calculus, brownian motions, etc.
(b) describes in details the classical (non-stochastic) case
(c) contains an introduction to the stochastic case, which should focus more on the complex-analytic aspects than the probabilistic ones.
Thank you,
Malik
Best Answer
As far as I'm aware, the most current in-depth book reference on SLE is Greg Lawler's book Conformally Invariant Processes in the Plane, a PDF of which is available here. From experience, SLE theory is extremely hard to grasp without a global understanding of what's going on, both on the complex analysis side and the probability side, in addition to its applications.
There's also a set of lecture notes from the PIMS summer school, more in the context of self-avoiding-walks.