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20112026
most citedThe fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds

73 citations · 304 across the 61 of their papers we have counts for

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Showing 2015Show all

6 papers · 1 filter

math.PR2015

An almost sure KPZ relation for SLE and Brownian motion

Ewain Gwynne, Nina Holden, Jason Miller

The peanosphere construction of Duplantier, Miller, and Sheffield provides a means of representing a -Liouville quantum gravity (LQG) surface, , decorated with a spa…

math.PR2015★ 22 cited

Scaling limits for the critical Fortuin-Kastelyn model on a random planar map III: finite volume case

Ewain Gwynne, Xin Sun

We prove scaling limit results for the finite-volume version of the inventory accumulation model of Sheffield (2011), which encodes a random planar map decorated by a collection of…

math.PR2015★ 1 cited

Brownian motion correlation in the peanosphere for

Ewain Gwynne, Nina Holden, Jason Miller +1

The peanosphere (or "mating of trees") construction of Duplantier, Miller, and Sheffield encodes certain types of -Liouville quantum gravity (LQG) surfaces () decora…

math.PR2015★ 1 cited

Asymptotic behavior of the Eden model with positively homogeneous edge weights

Sébastien Bubeck, Ewain Gwynne

Let , , and let be locally Lipschitz and positively homogeneous of degree (e.g. could b…

math.PR2015★ 13 cited

Scaling limits for the critical Fortuin-Kastelyn model on a random planar map II: local estimates and empty reduced word exponent

Ewain Gwynne, Xin Sun

We continue our study of the inventory accumulation introduced by Sheffield (2011), which encodes a random planar map decorated by a collection of loops sampled from the critical F…

math.PR2015★ 21 cited

Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map I: cone times

Ewain Gwynne, Cheng Mao, Xin Sun

Sheffield (2011) introduced an inventory accumulation model which encodes a random planar map decorated by a collection of loops sampled from the critical Fortuin-Kasteleyn (FK) mo…