Schramm: scaling limits of loop-erased walks and uniform spanning trees

What changed

Constructed conditional conformally invariant scaling-limit candidate via Brownian Loewner evolution.

Scientific scope

The record is Schramm’s sole-author paper published in 2000 after a 1999 preprint. The paper explicitly treated conformal invariance of LERW as a conjecture; later proofs by Lawler, Schramm and Werner and later SLE developments remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Schramm’s sole-author paper published in 2000 after a 1999 preprint. The paper explicitly treated conformal invariance of LERW as a conjecture; later proofs by Lawler, Schramm and Werner and later SLE developments remain separate.

Contributors

• Oded Schramm · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Schramm scaling-limits preprint
• Weizmann record for Schramm paper

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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