Results 31 to 40 of about 649 (108)
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
On uniqueness of solutions to complex Monge–Ampère mean field equations
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley +1 more source
K\"ahler-Einstein metrics: Old and New
, 2017 We present classical and recent results on K\"ahler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability).
Angella, Daniele, Spotti, Cristiano
core +1 more source
Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth
Communications on Pure and Applied Mathematics, Volume 77, Issue 6, Page 3080-3106, June 2024.Abstract On a complete Calabi‐Yau manifold M$M$ with maximal volume growth, a harmonic function with subquadratic polynomial growth is the real part of a holomorphic function. This generalizes a result of Conlon‐Hein. We prove this result by proving a Liouville‐type theorem for harmonic 1‐forms, which follows from a new local L2$L^2$ estimate of the ...
Shih‐Kai Chiu
wiley +1 more source
Soft Kirigami Composites for Form‐Finding of Fully Flexible Deployables
Advanced Materials Technologies, Volume 9, Issue 1, January 8, 2024.A new class of thin flexible structures are introduced that morph from flat into prescribed 3D shapes without an external stimulus such as mechanical loads or heat. To achieve control over the target shape, two different concepts are coupled: strain mismatch (inspired by biological growth) and kirigami cuts.
Jan Zavodnik +4 more
wiley +1 more source
, 2011 A Stein manifold is called S-Parabolic in case there exits a special plurisubharmonic exhaustion function that is maximal outside a compact set. If a continuous special plurisubharmonic exits then we will call the manifold S*-Parabolic: In one ...
Aytuna, Aydın +2 more
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Examples of compact Einstein four-manifolds with negative curvature
, 2020 We give new examples of compact, negatively curved Einstein manifolds of dimension $4$. These are seemingly the first such examples which are not locally homogeneous.
Fine, Joel, Premoselli, Bruno
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Proceedings of the Workshop MAXBELLMAN 2760 [PDF]
, 2015 The results announced in this workshop are from research that has been co-financed by the European Union and Greek national funds through the Operational Program "Education and Lifelong Learning" of the National Strategic Reference Framework (NSRF ...
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Monotone and Consistent discretization of the Monge-Ampere operator
, 2014 We introduce a novel discretization of the Monge-Ampere operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications.
Benamou, Jean-David +2 more
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Arithmetic geometry of toric varieties. Metrics, measures and heights
, 2014 We show that the height of a toric variety with respect to a toric metrized line bundle can be expressed as the integral over a polytope of a certain adelic family of concave functions.
Gil, José Ignacio Burgos +2 more
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