Schramm–Loewner Evolution

Schramm–Loewner Evolution. Conformally invariant scaling limits of planar processes.

Foundations and canonical references

The standard treatments of schramm–loewner evolution approach the subject from complementary angles. Lawler, Conformally Invariant Processes in the Plane (2005) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.

Supporting and adjacent work

A number of supporting contributions sharpen specific aspects of schramm–loewner evolution or connect it to neighbouring problems. Scaling limits of loop-erased random walks and uniform spanning trees (Schramm, 2000) contributes to this area as one of the supporting references that inform current practice.

Open methodological questions for schramm–loewner evolution include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.