On the distribution of lengths of short vectors in a random lattice

DOI10.1007/s00209-015-1580-yzbMath1341.60037arXiv1410.2005OpenAlexW2963396627MaRDI QIDQ269911

Seungki Kim

Publication date: 6 April 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2005

zbMATH Keywords

Poisson processrandom latticeshort vector

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Cites Work

• On the Poisson distribution of lengths of lattice vectors in a random lattice
• Measure theory in the geometry of numbers
• A mean value theorem in geometry of numbers
• Mean values over the space of lattices
• On the distribution of angles between the N shortest vectors in a random lattice
• The Number of Lattice Points in a Set
• The Measure of the Set of Admissible Lattices
• The moments of the number of points of a lattice in a bounded set

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