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Consider two critical Liouville quantum gravity surfaces (i.e., $\gamma$-LQG for $\gamma=2$), each with the topology of $\mathbb{H}$ and with infinite boundary length.
Path decomposition and continuity of local time for one-dimensional diffusions. I
D. Williams · 1974
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Sur le chaos multiplicatif
J.-P. Kahane · 1985
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On the convergence of diffusion processes conditioned to remain in a bounded region for large time to limiting positive recurrent diffusion processes
R. G. Pinsky · 1985
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Probability and measure
P. Billingsley · 1995
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Removability theorems for Sobolev functions and quasiconformal maps
P. Jones and S. Smirnov · 2000
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Measure change in multitype branching
J. D. Biggins and A. E. Kyprianou · 2004
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Conformally invariant processes in the plane
G. F. Lawler · 2005
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Basic properties of SLE
S. Rohde and O. Schramm · 2005
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Random curves by conformal welding
K. Astala, P. Jones, A. Kupiainen, and E. Saksman · 2010
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Probability: theory and examples
R. Durrett · 2010
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Gaussian multiplicative chaos revisited
R. Robert and V. Vargas · 2010
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Random conformal weldings
K. Astala, P. Jones, A. Kupiainen, and E. Saksman · 2011
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Lectures on Schramm–Loewner evolution
N. Berestycki and J. Norris · 2011
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Liouville quantum gravity and KPZ
B. Duplantier and S. Sheffield · 2011
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Tightness of the recentered maximum of log-correlated Gaussian fields
J. Acosta · 2014
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Critical Gaussian multiplicative chaos: convergence of the derivative martingale
B. Duplantier, R. Rhodes, S. Sheffield, and V. Vargas · 2014
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Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2016
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An elementary approach to Gaussian multiplicative chaos
N. Berestycki · 2017
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Schramm-Loewner evolution
A. Kemppainen · 2017
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Natural parametrization of SLE: the Gaussian free field point of view
S. Benoist · 2018
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Liouville quantum gravity as a mating of trees
B. Duplantier, J. Miller, and S. Sheffield · 2018
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Uniqueness of the welding problem for SLE and Liouville quantum gravity
O. McEnteggart, J. Miller, and W. Qian · 2018
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B. Duplantier, R. Rhodes, S. Sheffield, and V. Vargas · 2014
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Gaussian multiplicative chaos and applications: a review
R. Rhodes and V. Vargas · 2014
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Introduction to the Gaussian free field and Liouville quantum gravity
N. Berestycki · 2016
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On Gaussian multiplicative chaos
A. Shamov · 2016
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Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation
E. Powell · 2018
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Random Conformal Weldings at criticality
N. Tecu · 2018
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Critical Liouville measure as a limit of subcritical measures
J. Aru, E. Powell, and A. Sepúlveda · 2019
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The tail expansion of gaussian multiplicative chaos and the liouville reflection coefficient
R. Rhodes and V. Vargas · 2019
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