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Equivalence of the Open KdV and the Open Virasoro Equations for the Moduli Space of Riemann Surfaces with Boundary

Buryak, Alexandr

In: Letters in Mathematical Physics, 2015, vol. 105, no. 10, p. 1427-1448

Morrey’s 𝜖-conformality lemma in metric spaces

Fitzi, Martin ; Wenger, Stefan

In: Proceedings of the American Mathematical Society, 2020, vol. 148, no. 10, p. 4285–4298

We provide a simpler proof and slight strengthening of Morrey's famous lemma on $ \varepsilon $-conformal mappings. Our result more generally applies to Sobolev maps with values in a complete metric space, and we obtain applications to the existence of area minimizing surfaces of higher genus in metric spaces. Unlike Morrey's proof, which relies on the measurable Riemann mapping theorem, we...

On the Energy Dissipation Rate of Solutions to the Compressible Isentropic Euler System

Chiodaroli, Elisabetta ; Kreml, Ondrej

In: Archive for Rational Mechanics and Analysis, 2014, vol. 214, no. 3, p. 1019-1049

Meromorphic maps on riemann surfaces and transcendence

Wang, M. ; Wüstholz, G.

In: Proceedings of the Steklov Institute of Mathematics, 2013, vol. 282, p. 103-122

Embedding some Riemann surfaces into $${\mathbb {C}^2}$$ with interpolation

Kutzschebauch, Frank ; Løw, Erik ; Wold, Erlend

In: Mathematische Zeitschrift, 2009, vol. 262, no. 3, p. 603-611

The Critical Ising Model via Kac-Ward Matrices

Cimasoni, David

In: Communications in Mathematical Physics, 2012, vol. 316, no. 1, p. 99-126

Découpages et inégalités systoliques pour les surfaces hyperboliques à bord

Gendulphe, Matthieu

In: Geometriae Dedicata, 2009, vol. 142, no. 1, p. 23-35

The homology systole of hyperbolic Riemann surfaces

Parlier, Hugo

In: Geometriae Dedicata, 2012, vol. 157, no. 1, p. 331-338

Automorphismes réels d'un fibré et opérateurs de Cauchy-Riemann

Crétois, Rémi

In: Mathematische Zeitschrift, 2013, vol. 275, no. 1-2, p. 453-497

Some Remarks on the Uniformizing Function in Genus 2

Buser, Peter ; Silhol, Robert

In: Geometriae Dedicata, 2005, vol. 115, no. 1, p. 121-133