The Minkowski content measure for the Liouville quantum gravity metric (Q6151953)
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scientific article; zbMATH DE number 7815243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Minkowski content measure for the Liouville quantum gravity metric |
scientific article; zbMATH DE number 7815243 |
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The Minkowski content measure for the Liouville quantum gravity metric (English)
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11 March 2024
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A Liouville quantum gravity (LQG) surface is a natural random two-dimensional surface, initially formulated as a random measure space and later as a random metric space. Main theorem of the paper states that for each \(\gamma\in (0, 2)\), the Minkowski content measure exists on the \(\gamma\)-LQG metric space \((C,D_h)\) and is equal to the corresponding \(\gamma\)-LQG measure \(\mu_h\). Very interesting results with a very nice detailed explanation.
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Liouville quantum gravity (LQG)
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LQG metric
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Minkowski content
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Schramm-Loewner evolution
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mating of trees
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