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The problem of describing central measures on the path spaces of graded graphs. / Vershik, A.M.

In: Functional Analysis and its Applications, No. 4, 2014, p. 256-271.

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Harvard

Vershik, AM 2014, 'The problem of describing central measures on the path spaces of graded graphs', Functional Analysis and its Applications, no. 4, pp. 256-271. https://doi.org/10.1007/s10688-014-0069-5

APA

Vershik, A. M. (2014). The problem of describing central measures on the path spaces of graded graphs. Functional Analysis and its Applications, (4), 256-271. https://doi.org/10.1007/s10688-014-0069-5

Vancouver

Vershik AM. The problem of describing central measures on the path spaces of graded graphs. Functional Analysis and its Applications. 2014;(4):256-271. https://doi.org/10.1007/s10688-014-0069-5

Author

Vershik, A.M. / The problem of describing central measures on the path spaces of graded graphs. In: Functional Analysis and its Applications. 2014 ; No. 4. pp. 256-271.

BibTeX

@article{739bf523b9e44ed49722d273d839605a,
title = "The problem of describing central measures on the path spaces of graded graphs",
abstract = "{\textcopyright} 2014, Springer Science+Business Media New York. We suggest a new method for describing invariant measures on Markov compacta and on path spaces of graphs and, thereby, for describing characters of certain groups and traces of AF-algebras. The method relies on properties of filtrations associated with a graph and, in particular, on the notion of a standard filtration. The main tool is an intrinsic metric introduced on simplices of measures; this is an iterated Kantorovich metric, and the central result is that the relative compactness in this metric guarantees the possibility of a constructive enumeration of ergodic invariant measures. Applications include a number of classical theorems on invariant measures.",
author = "A.M. Vershik",
year = "2014",
doi = "10.1007/s10688-014-0069-5",
language = "English",
pages = "256--271",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - The problem of describing central measures on the path spaces of graded graphs

AU - Vershik, A.M.

PY - 2014

Y1 - 2014

N2 - © 2014, Springer Science+Business Media New York. We suggest a new method for describing invariant measures on Markov compacta and on path spaces of graphs and, thereby, for describing characters of certain groups and traces of AF-algebras. The method relies on properties of filtrations associated with a graph and, in particular, on the notion of a standard filtration. The main tool is an intrinsic metric introduced on simplices of measures; this is an iterated Kantorovich metric, and the central result is that the relative compactness in this metric guarantees the possibility of a constructive enumeration of ergodic invariant measures. Applications include a number of classical theorems on invariant measures.

AB - © 2014, Springer Science+Business Media New York. We suggest a new method for describing invariant measures on Markov compacta and on path spaces of graphs and, thereby, for describing characters of certain groups and traces of AF-algebras. The method relies on properties of filtrations associated with a graph and, in particular, on the notion of a standard filtration. The main tool is an intrinsic metric introduced on simplices of measures; this is an iterated Kantorovich metric, and the central result is that the relative compactness in this metric guarantees the possibility of a constructive enumeration of ergodic invariant measures. Applications include a number of classical theorems on invariant measures.

U2 - 10.1007/s10688-014-0069-5

DO - 10.1007/s10688-014-0069-5

M3 - Article

SP - 256

EP - 271

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 4

ER -

ID: 7061251