Extreme lattices: symmetries and decorrelation

DOI10.1088/1742-5468/2016/11/113301zbMath1456.82083arXiv1309.1301OpenAlexW2963394246MaRDI QIDQ3302473

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Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1301

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Locally optimal 2-periodic sphere packings ⋮ An upper bound on the number of perfect quadratic forms

Uses Software

• PARI/GP
• GSL
• kepler98

Cites Work

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• A Mathematical Theory of Communication
• Ein Beispiel positiv definiter quadratischer Formen der Dimension 4 mit gleichen Darstellungszahlen. (An example of positive definite quadratic forms of dimension 4 with the same representation numbers)
• On the most compact regular lattices in large dimensions: A statistical mechanical approach
• Optimality and uniqueness of the Leech lattice among lattices
• Positive definite quadratic forms with the same representation numbers
• Computing isometries of lattices
• New horizons in sphere-packing theory, part II: Lattice-based derivative-free optimization via global surrogates
• A proof of the Kepler conjecture
• Lineare Relationen zwischen Darstellungsanzahlen quadratischer Formen
• Hlawka's theorem in the geometry of numbers
• New Conjectural Lower Bounds on the Optimal Density of Sphere Packings
• Classification of eight-dimensional perfect forms
• Low-dimensional lattices. III. Perfect forms
• On Eutactic Forms
• Classification of quintic eutactic forms
• Amorphous packings of hard spheres for large space dimension
• Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
• Convex and Discrete Geometry
• Estimates of the optimal density of sphere packings in high dimensions

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