Wigner surmises and the two-dimensional Poisson-Voronoi tessellation

DOI10.1063/1.4753977zbMath1278.82055OpenAlexW1999794926MaRDI QIDQ2872343

Lutz Muche, John M. Nieminen

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1063/1.4753977

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Random matrices (algebraic aspects) (15B52) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• Some distributional results for Poisson-Voronoi tessellations
• Developments in random matrix theory
• The Poisson Voronoi Tessellation I. A Basic Identity
• The sectional Poisson Voronoi tessellation is not a Voronoi tessellation
• Random Subdivisions of Space into Crystals
• The Poisson-Voronoi tessellation: relationships for edges
• A Generalization of the Gamma Distribution