A note on Loewner energy, conformal restriction and Werner's measure on self-avoiding loops
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Publication:2115488
DOI10.5802/aif.3427zbMath1486.30063arXiv1810.04578OpenAlexW4200271613MaRDI QIDQ2115488
Publication date: 17 March 2022
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.04578
General theory of conformal mappings (30C35) General theory of univalent and multivalent functions of one complex variable (30C55) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
Related Items (4)
The traveling salesman theorem for Jordan curves ⋮ The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles ⋮ Large deviations of multichordal \(\mathrm{SLE}_{0+}\), real rational functions, and zeta-regularized determinants of Laplacians ⋮ Function theoretic characterizations of Weil-Petersson curves
Cites Work
- On the existence of SLE trace: finite energy drivers and non-constant \(\kappa \)
- The nested simple conformal loop ensembles in the Riemann sphere
- A proof of the Bieberbach conjecture
- Extremals of determinants of Laplacians
- The Brownian loop soup
- Scaling limits of loop-erased random walks and uniform spanning trees
- The energy of a deterministic Loewner chain: reversibility and interpretation via SLE\(_{0+}\)
- Equivalent descriptions of the Loewner energy
- R-torsion and the Laplacian on Riemannian manifolds
- Random soups, carpets and fractal dimensions
- SLE and the free field: Partition functions and couplings
- The Loewner Energy of Loops and Regularity of Driving Functions
- Conformal restriction: The chordal case
- The conformally invariant measure on self-avoiding loops
- Commutation relations for Schramm‐Loewner evolutions
- Weil-Petersson metric on the universal Teichmüller space
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