Geodesic
Measure-preserving rank one transformations
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 81 (2020) no. 2, pp. 281-318

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

Rank 1 transformations serve as a source of examples in ergodic theory showing a variety of algebraic, asymptotic, and spectral properties of dynamical systems. The properties of a rank one transformation are closely related to the structure of the semigroup of weak limits of its powers. In this vein, known and new constructions of transformations are studied. 
@article{MMO_2020_81_2_a2,
     author = {V. V. Ryzhikov},
     title = {Measure-preserving rank one transformations},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {281--318},
     publisher = {mathdoc},
     volume = {81},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMO_2020_81_2_a2/}
}
TY  - JOUR
AU  - V. V. Ryzhikov
TI  - Measure-preserving rank one transformations
JO  - Trudy Moskovskogo matematičeskogo obŝestva
PY  - 2020
SP  - 281
EP  - 318
VL  - 81
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MMO_2020_81_2_a2/
LA  - ru
ID  - MMO_2020_81_2_a2
ER  - 
%0 Journal Article
%A V. V. Ryzhikov
%T Measure-preserving rank one transformations
%J Trudy Moskovskogo matematičeskogo obŝestva
%D 2020
%P 281-318
%V 81
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MMO_2020_81_2_a2/
%G ru
%F MMO_2020_81_2_a2
V. V. Ryzhikov. Measure-preserving rank one transformations. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 81 (2020) no. 2, pp. 281-318. http://geodesic.mathdoc.fr/item/MMO_2020_81_2_a2/