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• W3198250244 abstract "Liouville quantum gravity (LQG) is a one-parameter family of models of random fractal surfaces which first appeared in the physics literature in the 1980s. Recent works have constructed a metric (distance function) on an LQG surface. We give an overview of the construction of this metric and discuss some of its most important properties, such as the behavior of geodesics and the KPZ formula. We also discuss some of the main techniques for proving statements about the LQG metric, give examples of their use, and discuss some open problems." @default.
• W3198250244 created "2021-09-13" @default.
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• W3198250244 date "2021-09-02" @default.
• W3198250244 modified "2023-09-24" @default.
• W3198250244 title "Introduction to the Liouville quantum gravity metric" @default.
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• W3198250244 doi "https://doi.org/10.48550/arxiv.2109.01252" @default.
• W3198250244 hasPublicationYear "2021" @default.
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