Pregled bibliografske jedinice broj: 483530
The minimum of gaps generated by one-dimensional random sequential packing
The minimum of gaps generated by one-dimensional random sequential packing // ISM Symposium, Stochastic models and discrete geometry, The institute of statistical mathematics
Tokyo, Japan, 2010. (plenarno, međunarodna recenzija, pp prezentacija, znanstveni)
CROSBI ID: 483530 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The minimum of gaps generated by one-dimensional random sequential packing
Autori
Itoh, Yoshiaki ; Dutour Sikirić, Mathieu
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Izvornik
ISM Symposium, Stochastic models and discrete geometry, The institute of statistical mathematics
/ - , 2010
Skup
ISM Symposium, Stochastic models and discrete geometry, The institute of statistical mathematics
Mjesto i datum
Tokyo, Japan, 01.03.2010. - 02.03.2010
Vrsta sudjelovanja
Plenarno
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
random packing; interval; exponential decay
Sažetak
When doing random packing of intervals [0, 1] in the interval [0, x], it is especially interesting to consider the gaps that occurs in such a packing. It turns out that the probability that the minimum of gaps is greater than h>0 display an exponential decay. We study here this exponent a(h). This number can be expressed as the explosion time of a differential equation and this allows to find the asymptotics of a(h) as h goes to 0 and 1.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
