On percolation of two-dimensional hard disks

DOI10.1007/s00220-018-3193-xzbMath1428.60027arXiv1709.03111OpenAlexW2755975242WikidataQ129596980 ScholiaQ129596980MaRDI QIDQ1799450

Alexander Magazinov

Publication date: 18 October 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03111

zbMATH Keywords

Poisson point processGibbs state

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Percolation (82B43) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Continuum percolation in a nonstabilizing environment ⋮ Long-range orientational order of random near-lattice hard sphere and hard disk processes ⋮ Phase transitions for the Boolean model of continuum percolation for Cox point processes

Uses Software

• kepler98

Cites Work

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• Continuum percolation for Gibbsian point processes with attractive interactions
• Continuum percolation for Gibbs point processes
• The crystallization conjecture: a review
• Improved Peierls argument for high-dimensional Ising models
• New upper bounds on sphere packings. I
• Packing densities and simulated tempering for hard core Gibbs point processes
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• Counting regions with bounded surface area
• Translation-invariance of two-dimensional Gibbsian point processes
• A proof of the Kepler conjecture
• The Packing of Equal Spheres
• A Solidification Phenomenon in Random Packings
• Percolation of Hard Disks

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