What is recorded here?
Formulated a Loewner evolution driven by Brownian motion as the candidate conformally invariant scaling limit for planar loop-erased random walk, establishing foundational properties conditionally and introducing the process later called SLE.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
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People and systems
Oded Schramm
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: Israel
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English catalogue narrative
Schramm: scaling limits of loop-erased walks and uniform spanning trees
Formulated a Loewner evolution driven by Brownian motion as the candidate conformally invariant scaling limit for planar loop-erased random walk, establishing foundational properties conditionally and introducing the process later called SLE.
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.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Oded Schramm
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.