相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。Semi-discrete optimal transport methods for the semi-geostrophic equations
David P. Bourne et al.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2022)
Crystallization to the Square Lattice for a Two-Body Potential
Laurent Betermin et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2021)
CRYSTALLIZATION FOR COULOMB AND RIESZ INTERACTIONS AS A CONSEQUENCE OF THE COHN-KUMAR CONJECTURE
Mircea Petrache et al.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2020)
Bounds on the Geometric Complexity of Optimal Centroidal Voronoi Tesselations in 3D
Rustum Choksi et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2020)
Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes
D. P. Bourne et al.
PHILOSOPHICAL MAGAZINE (2020)
On the honeycomb conjecture for Robin Laplacian eigenvalues
Dorin Bucur et al.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (2019)
Optimal and non-optimal lattices for non-completely monotone interaction potentials
Laurent Betermin et al.
ANALYSIS AND MATHEMATICAL PHYSICS (2019)
Proof of the honeycomb asymptotics for optimal Cheeger clusters
Dorin Bucur et al.
ADVANCES IN MATHEMATICS (2019)
Crystallization in Two Dimensions and a Discrete Gauss-Bonnet Theorem
L. De Luca et al.
JOURNAL OF NONLINEAR SCIENCE (2018)
Notions of optimal transport theory and how to implement them on a computer
Bruno Levy et al.
COMPUTERS & GRAPHICS-UK (2018)
Optimal lattice configurations for interacting spatially extended particles
Laurent Betermin et al.
LETTERS IN MATHEMATICAL PHYSICS (2018)
An Algorithm for Optimal Transport between a Simplex Soup and a Point Cloud
Quentin Merigot et al.
SIAM JOURNAL ON IMAGING SCIENCES (2018)
ON THE HONEYCOMB CONJECTURE FOR A CLASS OF MINIMAL CONVEX PARTITIONS
Dorin Bucur et al.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2018)
The sphere packing problem in dimension 24
Henry Cohn et al.
ANNALS OF MATHEMATICS (2017)
The sphere packing problem in dimension 8The sphere packing problem in dimension 8
Maryna S. Viazovska
ANNALS OF MATHEMATICS (2017)
Centroidal Power Diagrams with Capacity Constraints: Computation, Applications, and Extension
Shi-Qing Xin et al.
ACM TRANSACTIONS ON GRAPHICS (2016)
ASYMPTOTIC QUANTIZATION FOR PROBABILITY MEASURES ON RIEMANNIAN MANIFOLDS
Mikaela Iacobelli
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2016)
TWO-DIMENSIONAL THETA FUNCTIONS AND CRYSTALLIZATION AMONG BRAVAIS LATTICES
Laurent Betermin
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2016)
ASYMPTOTIC QUANTIZATION FOR PROBABILITY MEASURES ON RIEMANNIAN MANIFOLDS
Mikaela Iacobelli
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2016)
CENTROIDAL POWER DIAGRAMS, LLOYD'S ALGORITHM, AND APPLICATIONS TO OPTIMAL LOCATION PROBLEMS
D. P. Bourne et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2015)
The crystallization conjecture: a review
Xavier Blanc et al.
EMS SURVEYS IN MATHEMATICAL SCIENCES (2015)
Optimality of the Triangular Lattice for a Particle System with Wasserstein Interaction
D. P. Bourne et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2014)
HEXAGONAL PATTERNS IN A SIMPLIFIED MODEL FOR BLOCK COPOLYMERS
D. P. Bourne et al.
SIAM JOURNAL ON APPLIED MATHEMATICS (2014)
The Five-Electron Case of Thomson's Problem
Richard Evan Schwartz
EXPERIMENTAL MATHEMATICS (2013)
Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape
Yuen Au Yeung et al.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2012)
From the Ginzburg-Landau Model to Vortex Lattice Problems
Etienne Sandier et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2012)
APPROXIMATION BY FINITELY SUPPORTED MEASURES
Benoit Kloeckner
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2012)
A Multiscale Approach to Optimal Transport
Quentin Merigot
COMPUTER GRAPHICS FORUM (2011)
Asymptotic analysis of a class of optimal location problems
Guy Bouchitte et al.
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2011)
A Revision of the Proof of the Kepler Conjecture
Thomas C. Hales et al.
DISCRETE & COMPUTATIONAL GEOMETRY (2010)
On Centroidal Voronoi Tessellation-Energy Smoothness and Fast Computation
Yang Liu et al.
ACM TRANSACTIONS ON GRAPHICS (2009)
On the Crystallization of 2D Hexagonal Lattices
Weinan E et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2009)
A Mass Transportation Model for the Optimal Planning of an Urban Region
Giuseppe Buttazzo et al.
SIAM REVIEW (2009)
Centroidal voronoi tessellation algorithms for image compression, segmentation, and multichannel restoration
Q Du et al.
JOURNAL OF MATHEMATICAL IMAGING AND VISION (2006)
A proof of crystallization in two dimensions
F Theil
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2006)
The optimal centroidal Voronoi tessellations and the Gersho's conjecture in the three-dimensional space
Q Du et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS (2005)
Anisotropic centroidal Voronoi tessellations and their applications
Q Du et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)
Optimum quantization and its applications
PM Gruber
ADVANCES IN MATHEMATICS (2004)
Periodicity of the infinite-volume ground state of a one-dimensional quantum model
X Blanc et al.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2002)
The honeycomb conjecture
TC Hales
DISCRETE & COMPUTATIONAL GEOMETRY (2001)
Optimal configurations of finite sets in Riemannian 2-manifolds
PM Gruber
GEOMETRIAE DEDICATA (2001)