Pregled bibliografske jedinice broj: 483567
Geometry of numbers, equivariant L-types and coverings
Geometry of numbers, equivariant L-types and coverings // ISM Symposium, Stochastic models and discrete geometry, The Institute of Statistical mathematics
Tokyo, Japan, 2005. (plenarno, međunarodna recenzija, pp prezentacija, znanstveni)
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Naslov
Geometry of numbers, equivariant L-types and coverings
Autori
Dutour Sikirić, Mathieu ; Schuermann, Achill ; Vallentin, Frank
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Izvornik
ISM Symposium, Stochastic models and discrete geometry, The Institute of Statistical mathematics
/ - , 2005
Skup
ISM Symposium, Stochastic models and discrete geometry, The Institute of Statistical mathematics
Mjesto i datum
Tokyo, Japan, 24.03.2005. - 25.03.2005
Vrsta sudjelovanja
Plenarno
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Delaunay polytopes; L-types; covering problem
Sažetak
The set of Delaunay tesselation is described by L- types. Over any L-type, we can optimize the covering function and find its minimum. This gives an algorithm for finding the best lattice covering: first enumerating the L-types and then minimizing. But the number of L-type is too large thus one uses instead a restriction to specific group symmetries. This allowed us to find best coverings in dimension 9 to 15.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
