SwePub
Sök i LIBRIS databas

  Extended search

WFRF:(Södergren Anders)
 

Search: WFRF:(Södergren Anders) > (2010-2014) > On the Poisson dist...

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

Södergren, Anders (author)
Uppsala universitet,Analys och tillämpad matematik
 (creator_code:org_t)
2010-09-07
2011
English.
In: Mathematische Zeitschrift. - : Springer Science and Business Media LLC. - 0025-5874 .- 1432-1823. ; 269:3-4, s. 945-954
  • Journal article (peer-reviewed)
Abstract Subject headings
Close  
  • We prove that the volumes determined by the lengths of the non-zero vectors +/- x in a random lattice L of covolume 1 define a stochastic process that, as the dimension n tends to infinity, converges weakly to a Poisson process on the positive real line with intensity 1/2. This generalizes earlier results by Rogers (Proc Lond Math Soc (3) 6:305-320, 1956, Thm. 3) and Schmidt (Acta Math 102: 159-224, 1959, Satz 10).

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

MATHEMATICS
MATEMATIK
Mathematics
Matematik

Publication and Content Type

ref (subject category)
art (subject category)

Find in a library

To the university's database

Find more in SwePub

By the author/editor
Södergren, Ander ...
About the subject
NATURAL SCIENCES
NATURAL SCIENCES
and Mathematics
Articles in the publication
Mathematische Ze ...
By the university
Uppsala University

Search outside SwePub

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.

 
pil uppåt Close

Copy and save the link in order to return to this view