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BOUNDARIES OF Z(n)-FREE GROUPS. / Malyutin, Andrei; Nagnibeda, Tatiana; Serbin, Denis.

GROUPS, GRAPHS AND RANDOM WALKS. ред. / T CeccheriniSilberstein; M Salvatori; E SavaHuss. Cambridge University Press, 2017. стр. 355-390 (London Mathematical Society Lecture Note Series; Том 436).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Malyutin, A, Nagnibeda, T & Serbin, D 2017, BOUNDARIES OF Z(n)-FREE GROUPS. в T CeccheriniSilberstein, M Salvatori & E SavaHuss (ред.), GROUPS, GRAPHS AND RANDOM WALKS. London Mathematical Society Lecture Note Series, Том. 436, Cambridge University Press, стр. 355-390, Conference on Groups, Graphs and Random Walks, Cortona, Италия, 2/06/14.

APA

Malyutin, A., Nagnibeda, T., & Serbin, D. (2017). BOUNDARIES OF Z(n)-FREE GROUPS. в T. CeccheriniSilberstein, M. Salvatori, & E. SavaHuss (Ред.), GROUPS, GRAPHS AND RANDOM WALKS (стр. 355-390). (London Mathematical Society Lecture Note Series; Том 436). Cambridge University Press.

Vancouver

Malyutin A, Nagnibeda T, Serbin D. BOUNDARIES OF Z(n)-FREE GROUPS. в CeccheriniSilberstein T, Salvatori M, SavaHuss E, Редакторы, GROUPS, GRAPHS AND RANDOM WALKS. Cambridge University Press. 2017. стр. 355-390. (London Mathematical Society Lecture Note Series).

Author

Malyutin, Andrei ; Nagnibeda, Tatiana ; Serbin, Denis. / BOUNDARIES OF Z(n)-FREE GROUPS. GROUPS, GRAPHS AND RANDOM WALKS. Редактор / T CeccheriniSilberstein ; M Salvatori ; E SavaHuss. Cambridge University Press, 2017. стр. 355-390 (London Mathematical Society Lecture Note Series).

BibTeX

@inproceedings{a496be415f804ae99edf6bbe161a5890,
title = "BOUNDARIES OF Z(n)-FREE GROUPS",
abstract = "In this chapter we study random walks on a finitely generated group G which has a free action on a Z(n)-tree. We show that if G is nonabelian and acts minimally, freely and without inversions on a locally finite Zn-tree Gamma with the set of open ends Ends(Gamma), then for every nondegenerate probability measure mu on G there exists a unique mu-stationary probability measure v(mu) on Ends(F), and the space (Ends(Gamma), v(mu)) is a mu-boundary. Moreover, if mu has finite first moment with respect to the word metric on G (induced by a finite generating set), then the measure space (Ends(Gamma), v mu) is isomorphic to the Poisson Furstenberg boundary of (G,mu).",
keywords = "RELATIVELY HYPERBOLIC GROUPS, LENGTH FUNCTIONS, POISSON BOUNDARY, TREES, CONVERGENCE, THEOREM, CAT(0), WORDS, MAPS",
author = "Andrei Malyutin and Tatiana Nagnibeda and Denis Serbin",
year = "2017",
language = "Английский",
series = "London Mathematical Society Lecture Note Series",
publisher = "Cambridge University Press",
pages = "355--390",
editor = "T CeccheriniSilberstein and M Salvatori and E SavaHuss",
booktitle = "GROUPS, GRAPHS AND RANDOM WALKS",
address = "Великобритания",
note = "null ; Conference date: 02-06-2014 Through 06-06-2014",

}

RIS

TY - GEN

T1 - BOUNDARIES OF Z(n)-FREE GROUPS

AU - Malyutin, Andrei

AU - Nagnibeda, Tatiana

AU - Serbin, Denis

PY - 2017

Y1 - 2017

N2 - In this chapter we study random walks on a finitely generated group G which has a free action on a Z(n)-tree. We show that if G is nonabelian and acts minimally, freely and without inversions on a locally finite Zn-tree Gamma with the set of open ends Ends(Gamma), then for every nondegenerate probability measure mu on G there exists a unique mu-stationary probability measure v(mu) on Ends(F), and the space (Ends(Gamma), v(mu)) is a mu-boundary. Moreover, if mu has finite first moment with respect to the word metric on G (induced by a finite generating set), then the measure space (Ends(Gamma), v mu) is isomorphic to the Poisson Furstenberg boundary of (G,mu).

AB - In this chapter we study random walks on a finitely generated group G which has a free action on a Z(n)-tree. We show that if G is nonabelian and acts minimally, freely and without inversions on a locally finite Zn-tree Gamma with the set of open ends Ends(Gamma), then for every nondegenerate probability measure mu on G there exists a unique mu-stationary probability measure v(mu) on Ends(F), and the space (Ends(Gamma), v(mu)) is a mu-boundary. Moreover, if mu has finite first moment with respect to the word metric on G (induced by a finite generating set), then the measure space (Ends(Gamma), v mu) is isomorphic to the Poisson Furstenberg boundary of (G,mu).

KW - RELATIVELY HYPERBOLIC GROUPS

KW - LENGTH FUNCTIONS

KW - POISSON BOUNDARY

KW - TREES

KW - CONVERGENCE

KW - THEOREM

KW - CAT(0)

KW - WORDS

KW - MAPS

M3 - статья в сборнике материалов конференции

T3 - London Mathematical Society Lecture Note Series

SP - 355

EP - 390

BT - GROUPS, GRAPHS AND RANDOM WALKS

A2 - CeccheriniSilberstein, T

A2 - Salvatori, M

A2 - SavaHuss, E

PB - Cambridge University Press

Y2 - 2 June 2014 through 6 June 2014

ER -

ID: 39176928