Lecturer: Jason Miller
Contact: jpmiller@statslab.cam.ac.uk
Announcements
- The lecture on Tuesday, February 12 will be rescheduled to later in the term.
- There will be two sessions for the first examples class, held:
- 1:30pm in MR15 on Thursday, February 21st
- 4:00pm in MR5 on Friday, February 22nd
- There will be two sessions for the second examples class,
held:
- 2:00 pm in MR9 on Tuesday, May 7th
- 4:00 pm in MR9 on Tuesday, May 7th If you would like your work to be marked, please submit your solutions to Problem 7 and Problem 8 into my pigeon hole in the CMS by 12:00 pm on Monday, May 6th.
Example sheets
References
- W. Werner. Random planar curves and Schramm-Loewner evolutions
- G.F. Lawler. Conformally invariant processes in the plane
Links
- Oded Schramm
- Wendelin Werner and Greg Lawler
- Schramm-Loewner evolution
- Loewner's differential equation
- Loop-erased random walk and percolation theory
- de Brange's theorem (the Bieberbach conjecture)
- Paul Flory and the self-avoiding walk
- Gaussian free field
Notes from related courses
- Stochastic calculus lecture notes due to M. Tehranchi, N. Berestycki , and myself
- Advanced probability lecture notes due to J. Norris and P. Sousi
Flow lines of the Gaussian free field. Each curve is an SLE(1/4) type curve.
An SLE(128) curve in the square [-1,1]^2 from -i to i.