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20152022
most citedCritical Liouville measure as a limit of subcritical measures

35 citations · 155 across the 12 of their papers we have counts for

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Showing 2018 · math.PRShow all

3 papers · 2 filters

math.PR2018★ 16 cited

Conformal welding for critical Liouville quantum gravity

Nina Holden, Ellen Powell

Consider two critical Liouville quantum gravity surfaces (i.e., -LQG for ), each with the topology of and with infinite boundary length. We prove that there a.…

math.PR2018★ 35 cited

Critical Liouville measure as a limit of subcritical measures

Juhan Aru, Ellen Powell, Avelio Sepúlveda

We study how the Gaussian multiplicative chaos (GMC) measures corresponding to the 2D Gaussian free field change when approaches the critical parameter . In particular…

math.PR2018★ 8 cited

A characterisation of the Gaussian free field

Nathanael Berestycki, Ellen Powell, Gourab Ray

We prove that a random distribution in two dimensions which is conformally invariant and satisfies a natural domain Markov property is a multiple of the Gaussian free field. This r…