Temat: free cumulants - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Free probability on Hecke algebras and certain group C*-algebras induced by Hecke algebras
Autorzy:: Cho, I.
Powiązania:: https://bibliotekanauki.pl/articles/255166.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
free moments
free cumulants
Hecke algebras
normal Hecke subalgebras
representations
groups
group C*-algebras
Opis:: In this paper, by establishing free-probabilistic models on the Hecke algebras [formula] induced by p-adic number fields Qp, we construct free probability spaces for all primes p. Hilbert-space representations are induced by such free-probabilistic structures. We study C*-algebras induced by certain partial isometries realized under the representations.
Źródło:: Opuscula Mathematica; 2016, 36, 2; 153-187
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Remarks on Wigner’s semicircle law
Autorzy:: Ejsmont, Wiktor
Powiązania:: https://bibliotekanauki.pl/articles/421395.pdf
Data publikacji:: 2015
Wydawca:: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:: Wigner’s semicircle law
conditional expectation
free cumulants
Laha-Lukacs theorem
noncommutative regression
Opis:: Ejsmont [2014] has shown that families of free Meixner distributions can be characterized by the conditional moments of polynomial functions of degree 3. In this paper, we will give other characterizations of the free normal distribution which are formulated in a similar spirit.
Źródło:: Didactics of Mathematics; 2015, 12(16); 55-60
1733-7941
Pojawia się w:: Didactics of Mathematics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Free probability induced by electric resistance networks on energy Hilbert spaces
Autorzy:: Cho, I.
Jorgensen, P. E. T.
Powiązania:: https://bibliotekanauki.pl/articles/254830.pdf
Data publikacji:: 2011
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: directed graphs
graph groupoids
electric resistance networks
ERN-groupoids
energy Hilbert spaces
ERN-algebras
free moments
free cumulants
Opis:: We show that a class of countable weighted graphs arising in the study of electric resistance networks (ERNs) are naturally associated with groupoids. Starting with a fixed ERN, it is known that there is a canonical energy form and a derived energy Hilbert space Hε. From Hε, one then studies resistance metrics and boundaries of the ERNs. But in earlier research, there does not appear to be a natural algebra of bounded operators acting on Hε. With the use of our ERN-groupoid, we show that Hε may be derived as a representation Hilbert space of a universal representation of a groupoid algebra [formula], and we display other representations. Among our applications, we identify a free structure of [formula] in terms of the energy form.
Źródło:: Opuscula Mathematica; 2011, 31, 4; 549-598
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Certain group dynamical systems induced by Hecke algebras
Autorzy:: Cho, I.
Powiązania:: https://bibliotekanauki.pl/articles/255101.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
free moments
free cumulants
Hecke algebra
normal Hecke subalgebra
free probability spaces
representations
operators
Hilbert spaces
dynamical systems
crossed product algebras
Opis:: In this paper, we study dynamical systems induced by a certain group [formula] embedded in the Hecke algebra H(Gp) induced by the generalized linear group Gp = GL2(Qp) over the p-adic number fields Qp for a fixed prime p. We study fundamental properties of such dynamical systems and the corresponding crossed product algebras in terms ol free probability on the Hecke algebra H(Gp).
Źródło:: Opuscula Mathematica; 2016, 36, 3; 337-373
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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