Liouville Brownian motion at criticality Rémi Rhodes

@inproceedings{Rhodes2017LiouvilleBM,
  title={Liouville Brownian motion at criticality R{\'e}mi Rhodes},
  author={R{\'e}mi Rhodes and Vincent Vargas},
  year={2017}
}

• Rémi Rhodes, Vincent Vargas
• Published 2017

In this paper, we construct the Brownian motion of Liouville Quantum gravity when the underlying conformal field theory has a c = 1 central charge. Liouville quantum gravity with c = 1 corresponds to two-dimensional string theory and is the conjectural scaling limit of large planar maps weighted with a O(n = 2) loop model or a Q = 4-state Potts model embedded in a two dimensional surface in a conformal manner. Following [27], we start by constructing the critical LBM from one fixed point x ∈ R… CONTINUE READING

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