Readings

Selected References on Universal Objects

Overview

Continuum Random Tree References

Random Planar Maps and the Brownian Map References

Gaussian Free Field References

Liouville Quantum Gravity References

Schramm-Loewner Evolution and Discrete Analogs References

Growth Models References

Yang Mills References

Selected References on Universal Object Relationships

GFF + SLE

LQG + LQG = LQG + SLE

Sheffield. “Conformal Weldings of Random Surfaces: SLE and the Quantum Gravity Zipper.” 2015.

CRT + CRT = LQG + SLE

Miller, and Sheffield. “Liouville Quantum Gravity as a Mating of Trees.” 2014.

LQG + Reshuffled SLE = LQG + DBM

Miller, and Sheffield. “Quantum Loewner Evolution.” 2013.

LQG = TBM

Miller, and Sheffield. “Liouville Quantum Gravity and the Brownian Map.” (PDF)

Course Info

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assignment Problem Sets
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