- Tytuł:
- Deformation of semicircular and circular laws via p-adic number fields and sampling of primes
- Autorzy:
-
Cho, Ilwoo
Jorgensen, Palie E. T. - Powiązania:
- https://bibliotekanauki.pl/articles/255649.pdf
- Data publikacji:
- 2019
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
free probability
primes
p-adic number fields
Banach *-probability spaces semicircular elements
circular elements
truncated linear functionals - Opis:
- In this paper, we study semicircular elements and circular elements in a certain Banach *-probability space [formula] induced by analysis on the p-adic number fields Qp over primes p. In particular, by truncating the set P of all primes for given suitable real numbers t < s in R, two different types of truncated linear functionals [formula], and [formula] re constructed on the Banach *-algebra [formula]. We show how original free distributional data (with respect to r°) are distorted by the truncations on P (with respect to [formula], and [formula]). As application, distorted free distributions of the semicircular law, and those of the circular law are characterized up to truncation.
- Źródło:
-
Opuscula Mathematica; 2019, 39, 6; 773-813
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł