54 citations · 168 across the 18 of their papers we have counts for
21 papers
The Brownian bubble tea
Gregory F. Lawler, Fredrik Viklund, Yilin Wang +1
We use Loewner-Kufarev evolution to decompose the Brownian loop soup into a Poisson point process on Brownian bubbles which we call the Brownian bubble tea driven by , where …
On the Loewner energy of a welding homeomorphism
Shuo Fan, Fredrik Viklund, Yilin Wang
To any Jordan curve one may associate a circle homeomorphism via conformal welding. Through this correspondence, the Loewner energy , also kno…
Epstein curves and holography of the Schwarzian action
Franco Vargas Pallete, Yilin Wang, Catherine Wolfram
We apply Epstein's construction of hypersurfaces in the hyperbolic disk to prove identities between the Schwarzian action on $\operatorname{PSL}_2(\mathbb R)\backslash…
Piecewise geodesic Jordan curves II: Loewner energy, projective structures, and accessory parameters
Mario Bonk, Janne Junnila, Steffen Rohde +1
In this paper we consider Jordan curves on the Riemann sphere passing through given points. We show that in each relative isotopy class of such curves, there exists a uni…
Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra
Maria Gordina, Wei Qian, Yilin Wang
We use the SLE loop measure to construct a natural representation of the Virasoro algebra of central charge . In particular, we introduce a non-degenerate bilin…
Universal Liouville action as a renormalized volume and its gradient flow
Martin Bridgeman, Kenneth Bromberg, Franco Vargas Pallete +1
The universal Liouville action (also known as the Loewner energy for Jordan curves) is a Kähler potential on the Weil-Petersson universal Teichmüller space, which is identified wit…
From the random geometry of conformally invariant systems to the Kähler geometry of universal Teichmüller space
Yilin Wang
The goal of this expository article is to explain how a fundamental functional on the space of Jordan curves arising from SLE - Loewner energy - is connected to a seemingly far apa…
Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
Jinwoo Sung, Yilin Wang
We derive the variational formula of the Loewner driving function of a simple chord under infinitesimal quasiconformal deformations with Beltrami coefficients supported away from t…
Circle homeomorphisms with square summable diamond shears
Dragomir Šarić, Yilin Wang, Catherine Wolfram
We introduce and the study the space of homeomorphisms of the circle (up to Möbius transformations) which are in with respect to modular coordinates called diamond shears…
Piecewise geodesic Jordan curves I: weldings, explicit computations, and Schwarzian derivatives
Donald Marshall, Steffen Rohde, Yilin Wang
We consider Jordan curves of the form on the Riemann sphere for which each is a hyperbolic geodesic in .…
The Loewner Energy via the Renormalised Energy of Moving Frames
Alexis Michelat, Yilin Wang
We obtain a new formula for the Loewner energy of Jordan curves on the sphere, which is a Kähler potential for the essentially unique Kähler metric on the Weil-Petersson universal…
Large deviations of Schramm-Loewner evolutions: A survey
Yilin Wang
These notes survey the first results on large deviations of Schramm-Loewner evolutions (SLE) with emphasis on interrelations between rate functions and applications to complex anal…
The Loewner-Kufarev Energy and Foliations by Weil-Petersson Quasicircles
Fredrik Viklund, Yilin Wang
We study foliations by chord-arc Jordan curves of the twice punctured Riemann sphere using the Loewner-Kufarev equation. We associate to such a fol…
Large deviations of multichordal SLE, real rational functions, and zeta-regularized determinants of Laplacians
Eveliina Peltola, Yilin Wang
We prove a strong large deviation principle (LDP) for multiple chordal SLE curves with respect to the Hausdorff metric. In the single-chord case, this result strengthens an…
Large deviations of radial SLE
Morris Ang, Minjae Park, Yilin Wang
We derive the large deviation principle for radial Schramm-Loewner evolution () on the unit disk with parameter . Restricting to the time i…
Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines
Fredrik Viklund, Yilin Wang
The Loewner energy of a Jordan curve is the Dirichlet energy of its Loewner driving term. It is finite if and only if the curve is a Weil-Petersson quasicircle. In this paper, we d…
A note on Loewner energy, conformal restriction and Werner's measure on self-avoiding loops
Yilin Wang
In this note, we establish an expression of the Loewner energy of a Jordan curve on the Riemann sphere in terms of Werner's measure on simple loops of SLE type. The proof i…
Equivalent Descriptions of the Loewner Energy
Yilin Wang
Loewner's equation provides a way to encode a simply connected domain or equivalently its uniformizing conformal map via a real-valued driving function of its boundary. The first m…
Remarks on Loewner Chains Driven by Finite Variation Functions
Atul Shekhar, Huy Tran, Yilin Wang
To explore the relation between properties of Loewner chains and properties of their driving functions, we study Loewner chains driven by functions of finite total variation. U…
The Loewner energy of loops and regularity of driving functions
Steffen Rohde, Yilin Wang
Loewner driving functions encode simple curves in 2-dimensional simply connected domains by real-valued functions. We prove that the Loewner driving function of a curve (…
The energy of a deterministic Loewner chain: Reversibility and interpretation via SLE
Yilin Wang
We study some features of the energy of a deterministic chordal Loewner chain, which is defined as the Dirichlet energy of its driving function. In particular, using an interpretat…