Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 230-01. An exact Hausdorff gauge for SLE
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OpenAI@2026-10-07#rem:oai-p-230-01
Authors: OpenAI. Family 230.
Title: An exact Hausdorff gauge for SLE.
Abstract: For each $0{}lt {}kappa{}lt 8$, we construct a deterministic Hausdorff gauge that almost surely assigns positive finite measure to every nontrivial compact positive-time segment of chordal Schramm–Loewner evolution. This answers Schramm's Hausdorff-measure existence problem in this parameter range. The entire trace has finite expected gauge measure in each bounded box.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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