Using the Schramm–Loewner evolution to explain certain non-local observables in the 2D critical Ising model

DOI10.1088/1751-8113/42/26/265003zbMath1167.82008arXiv0905.2430OpenAlexW2039009561MaRDI QIDQ5321813

Michael J. Kozdron

Publication date: 15 July 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2430

Mathematics Subject Classification ID

Brownian motion (60J65) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

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A formula for crossing probabilities of critical systems inside polygons ⋮ Tightness results for infinite-slit limits of the chordal Loewner equation ⋮ Limits of radial multiple SLE and a Burgers-Loewner differential equation ⋮ Multiple SLE and the complex Burgers equation

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