142 citations · 833 across the 42 of their papers we have counts for
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Local Conformal Structure of Liouville Quantum Gravity
Antti Kupiainen, Rémi Rhodes, Vincent Vargas
Liouville Conformal Field Theory (LCFT) is an essential building block of Polyakov's formulation of non critical string theory. Moreover, scaling limits of statistical mechanics mo…
Renormalizability of Liouville Quantum Gravity at the Seiberg bound
François David, Antti Kupiainen, Rémi Rhodes +1
Liouville Quantum Field Theory can be seen as a probabilistic theory of 2d Riemannian metrics , conjecturally describing scaling limits of discrete -random surfac…
Liouville Quantum Gravity on the complex tori
François David, Rémi Rhodes, Vincent Vargas
In this paper, we construct Liouville Quantum Field Theory (LQFT) on the toroidal topology in the spirit of the 1981 seminal work by Polyakov. Our approach follows the construction…
Continuity estimates for the complex cascade model on the phase boundary
Thomas Madaule, Rémi Rhodes, Vincent Vargas
We consider the complex branching random walk on a dyadic tree with Gaussian weights on the boundary between the diffuse phase and the glassy phase. We study the branching random w…
Liouville Quantum Gravity on the unit disk
Yichao Huang, Rémi Rhodes, Vincent Vargas
Our purpose is to pursue the rigorous construction of Liouville Quantum Field Theory on Riemann surfaces initiated by F. David, A. Kupiainen and the last two authors in the context…