Geodesic
Spectrum and absolute of the graph of two-row Young diagrams
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 55-69

Voir la notice de l'article provenant de la source Math-Net.Ru

For the simplest graph of two-rows Young diagrams we are giving the elementary presentation of the theory of the traces of $AF$-algebras and the central measures The implicit description of measures as Markov chains with two states is given. We emphasize the role of the notion of homogeneity in this context. We embedded the homogeneity central measures besides only one of them to the Bernoulli scheme and from the other side the isomorphism (RSK) of each of them with those schemes. We also give a geometrical condition of the centrality of the measure. 
@article{ZNSL_2022_517_a3,
     author = {A. M. Vershik},
     title = {Spectrum and absolute of the graph of two-row {Young} diagrams},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {55--69},
     publisher = {mathdoc},
     volume = {517},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a3/}
}
TY  - JOUR
AU  - A. M. Vershik
TI  - Spectrum and absolute of the graph of two-row Young diagrams
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2022
SP  - 55
EP  - 69
VL  - 517
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a3/
LA  - ru
ID  - ZNSL_2022_517_a3
ER  - 
%0 Journal Article
%A A. M. Vershik
%T Spectrum and absolute of the graph of two-row Young diagrams
%J Zapiski Nauchnykh Seminarov POMI
%D 2022
%P 55-69
%V 517
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a3/
%G ru
%F ZNSL_2022_517_a3
A. M. Vershik. Spectrum and absolute of the graph of two-row Young diagrams. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 55-69. http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a3/