Ewain Gwynne

activity

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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3 papers · 1 filter

math.PR2025

Directed distances in bipolar-oriented triangulations: exact exponents and scaling limits

Jacopo Borga, Ewain Gwynne

We study longest and shortest directed paths in the following natural model of directed random planar maps: the uniform infinite bipolar-oriented triangulation (UIBOT), which is th…

math.PR2025

Random walk reflected off of infinity, with applications to uniform spanning forests and supercritical Liouville quantum gravity

Ewain Gwynne, Jinwoo Sung

Let $G$ be an infinite graph -- not necessarily one-ended -- on which the simple random walk is transient. We define a variant of the continuous-time random walk on $\math…

math.PR2025

Liouville Brownian motion and quantum cones in dimension $d > 2$

Federico Bertacco, Ewain Gwynne

For $d > 2$ and $γ \in (0, 2 d)$ , we study the Liouville Brownian motion associated with the whole-space log-correlated Gaussian field in $R^{d}$ . We compute its spectr…

Directed distances in bipolar-oriented triangulations: exact exponents and scaling limits

Random walk reflected off of infinity, with applications to uniform spanning forests and supercritical Liouville quantum gravity

Liouville Brownian motion and quantum cones in dimension d>2

Liouville Brownian motion and quantum cones in dimension $d > 2$