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Plane harmonic measures live on sets of σ-finite length

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf02392296openalex-snapshot
Hausdorff dimension of harmonic measures in the plane
inferredcites →https://doi.org/10.1007/bf02786610openalex-snapshot
On conformal mapping and linear measure
inferredcites →https://doi.org/10.1007/bf02796587openalex-snapshot
On conformal mapping and linear measure
inferredcites →https://doi.org/10.1112/plms/s3-51.2.369openalex-snapshot
On the Distortion of Boundary Sets Under Conformal Mappings
inferredcites →https://doi.org/10.5186/aasfm.1985.1014openalex-snapshot
On the support of harmonic measure for sets of Cantor type

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/cpa.22226openalex-snapshot
Rectifiability, finite Hausdorff measure, and compactness for non‐minimizing Bernoulli free boundaries
inferred← citeshttps://doi.org/10.1006/aima.2001.2067openalex-snapshot
Hausdorff Dimension of Harmonic Measure for Self-Conformal Sets
inferred← citeshttps://doi.org/10.1007/978-3-030-65799-4_4openalex-snapshot
Bernoulli Type Free Boundary Problems and Water Waves
inferred← citeshttps://doi.org/10.1007/978-3-642-27145-8_1openalex-snapshot
Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics
inferred← citeshttps://doi.org/10.1007/s00526-002-0171-zopenalex-snapshot
A singular limit arising in combustion theory: Fine properties of the free boundary
inferred← citeshttps://doi.org/10.1007/s13324-025-01067-5openalex-snapshot
The dimension of planar elliptic measures arising from Lipschitz matrices in Reifenberg flat domains
inferred← citeshttps://doi.org/10.1016/j.aim.2017.01.013openalex-snapshot
σ-Finiteness of elliptic measures for quasilinear elliptic PDE in space
inferred← citeshttps://doi.org/10.1016/j.aim.2019.01.021openalex-snapshot
Absolute continuity of harmonic measure for domains with lower regular boundaries
inferred← citeshttps://doi.org/10.1016/j.na.2015.08.021openalex-snapshot
Hausdorff dimension and σ finiteness of p harmonic measures in space when p≥n
inferred← citeshttps://doi.org/10.1090/s0002-9947-2014-05979-5openalex-snapshot
𝑝 harmonic measure in simply connected domains revisited
inferred← citeshttps://doi.org/10.1093/imrn/rnad184openalex-snapshot
The Dimension of Harmonic Measure on Some AD-Regular Flat Sets of Fractional Dimension
inferred← citeshttps://doi.org/10.1093/imrn/rnaf050openalex-snapshot
Good Elliptic Operators on Snowflakes
inferred← citeshttps://doi.org/10.1093/imrn/rnz197openalex-snapshot
The Mutual Singularity of Harmonic Measure and Hausdorff Measure of Codimension Smaller than One
inferred← citeshttps://doi.org/10.1112/plms/pdu048openalex-snapshot
Unavoidable sets and harmonic measures living on small sets
inferred← citeshttps://doi.org/10.1155/s1073792803206048openalex-snapshot
inferred← citeshttps://doi.org/10.1353/ajm.2025.a954648openalex-snapshot
Hausdorff Dimension of Caloric Measure
inferred← citeshttps://doi.org/10.4153/s0008414x2300069xopenalex-snapshot
Lower bounds on Bourgain’s constant for harmonic measure
inferred← citeshttps://doi.org/10.48550/arxiv.1809.08026openalex-snapshot
About the Jones-Wolff Theorem on the Hausdorff dimension of harmonic measure
inferred← citeshttps://doi.org/10.48550/arxiv.2112.00540openalex-snapshot
Rectifiability; a survey
inferred← citeshttps://doi.org/10.5565/publmat_45201_11openalex-snapshot
Some open problems in higher dimensional complex analysis and complex dynamics
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