Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines
From MaRDI portal
Publication:2309488
DOI10.1007/s00039-020-00521-9zbMath1436.30009arXiv1903.08525OpenAlexW3100633802MaRDI QIDQ2309488
Fredrik Johansson Viklund, Yilin Wang
Publication date: 1 April 2020
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.08525
Related Items
Large deviations of Schramm-Loewner evolutions: a survey ⋮ A large deviation principle for the Schramm–Loewner evolution in the uniform topology ⋮ A deterministic approach to Loewner-energy minimizers ⋮ Strong Szegő theorem on a Jordan curve ⋮ The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles ⋮ The Loewner energy via the renormalised energy of moving frames ⋮ The SLE loop via conformal welding of quantum disks ⋮ Large deviations of radial \(SLE_{\infty}\) ⋮ Function theoretic characterizations of Weil-Petersson curves ⋮ Weil-Petersson Teichmüller space. III: Dependence of Riemann mappings for Weil-Petersson curves ⋮ Integrable Teichmüller space ⋮ The semiclassical limit of Liouville conformal field theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Imaginary geometry. I: Interacting SLEs
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- Random conformal weldings
- A counterexample in conformal welding concerning chord-arc curves
- Courbes corde-arc et espaces de Hardy généralisés
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- On univalent functions, Bloch functions and VMOA
- Scaling limits of loop-erased random walks and uniform spanning trees
- Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces
- Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle
- Natural parametrization of SLE: the Gaussian free field point of view
- The energy of a deterministic Loewner chain: reversibility and interpretation via SLE\(_{0+}\)
- Extending Sobolev functions with partially vanishing traces from locally \(({\epsilon},{\delta})\)-domains and applications to mixed boundary problems
- Equivalent descriptions of the Loewner energy
- Basic properties of SLE
- Gaussian free fields for mathematicians
- Conformal welding of rectifiable curves.
- SLE and the free field: Partition functions and couplings
- Weil-Petersson Teichmüller space
- Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
- Liouville quantum gravity as a mating of trees
- Weil-Petersson metric on the universal Teichmüller space
