Continuity in \(\kappa\) in \(\mathrm{SLE}_\kappa\) theory using a constructive method and rough path theory
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Publication:2041803
DOI10.1214/20-AIHP1084zbMath1491.60146arXiv2002.08308OpenAlexW3137788119MaRDI QIDQ2041803
Vlad Margarint, Dmitri B. Beliaev, Terence J. Lyons
Publication date: 23 July 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.08308
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Cites Work
- On the continuity of \(\text{SLE}_{\kappa}\) in \(\kappa\)
- Strong path convergence from Loewner driving function convergence
- Random conformal weldings
- Exact solutions for Loewner evolutions
- Collisions and spirals of Loewner traces
- Optimal Hölder exponent for the SLE path
- On the existence of SLE trace: finite energy drivers and non-constant \(\kappa \)
- Differential equations driven by rough paths. Ecole d'Eté de Probabilités de Saint-Flour XXXIV -- 2004. Lectures given at the 34th probability summer school, July 6--24, 2004.
- Differential equations driven by rough signals
- Scaling limits of loop-erased random walks and uniform spanning trees
- Convergence of an algorithm simulating Loewner curves
- Multidimensional Stochastic Processes as Rough Paths
- Random Walk: A Modern Introduction
- Remarks on Loewner chains driven by finite variation functions
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