SLE: differential invariants study

DOI10.1007/s40863-022-00299-8OpenAlexW4220780998WikidataQ121618377 ScholiaQ121618377MaRDI QIDQ2107649

Vladimir N. Grebenev, Alexander N. Grishkov

Publication date: 2 December 2022

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-022-00299-8

zbMATH Keywords

SLEdifferential invariantsconformal group extensionfractal length scale

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) PDEs with randomness, stochastic partial differential equations (35R60) Contact manifolds (general theory) (53D10) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Cites Work

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• Invariants différentiels d'un pseudogroupe de Lie. I
• On the finiteness of differential invariants.
• Scaling limits of loop-erased random walks and uniform spanning trees
• Hausdorff dimensions for SLE\(_6\).
• Contact geometry, measurement, and thermodynamics
• On Malliavin measures, SLE, and CFT
• The length of an SLE -- Monte Carlo studies
• Differential invariants of conformal and projective surfaces
• INVARIANTS OF PSEUDOGROUP ACTIONS: HOMOLOGICAL METHODS AND FINITENESS THEOREM
• Conformal invariance of the Lungren–Monin–Novikov equations for vorticity fields in 2D turbulence
• Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence

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