The CLE gasket measure for κ in (4,8) equals the Minkowski content limit and related covering approximations.
A continuous proof of the existence of the SLE _8 curve
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Existence and uniqueness of a canonical Brownian motion on CLE_κ gaskets for κ ∈ (4,8), characterized by a unique locally determined resistance form satisfying invariance properties.
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.
citing papers explorer
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Minkowski content construction of the CLE gasket measure
The CLE gasket measure for κ in (4,8) equals the Minkowski content limit and related covering approximations.
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Existence and uniqueness of the canonical Brownian motion in non-simple conformal loop ensemble gaskets
Existence and uniqueness of a canonical Brownian motion on CLE_κ gaskets for κ ∈ (4,8), characterized by a unique locally determined resistance form satisfying invariance properties.
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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.