Topics in Complex Analysis:

From Conformal Invariants to Percolation


Math 219 - Harvard University
Classes: This course meets Tu Th, 12-1:15pm. The first meeting is on Tuesday, 26 Jan 2021.
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Image by Scott Sheffield

Scaling Limits of Random Walks
The Game of Hex
Julia Set
Geodesics on C-{0,1}
Harmonic Functions
Harmonic Measure
First return to zero
Random walks of 20 steps
Histoire de martingales
1D Brownian motion
2D Brownian motion
Construction of 1D Brownian motion
Ito's formula: A random walk squared
Percolation Clusters
The recoloring argument