For κ in K (where the adjacency graph of SLE_κ complementary components is a.s. connected), the range of SLE_κ is a.s. conformally removable; a conformally covariant measure on cut points is constructed as an intermediate step.
Preprint arXiv:1705.03573 , YEAR =
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The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.
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Conformal removability of non-simple Schramm-Loewner evolutions
For κ in K (where the adjacency graph of SLE_κ complementary components is a.s. connected), the range of SLE_κ is a.s. conformally removable; a conformally covariant measure on cut points is constructed as an intermediate step.
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Spectral expansion of LQG heat trace and KPZ scaling
The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.