Publication

Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic points

Goll, M., Schmidt, K. & Verbitskiy, E., 27-Jun-2014, In : Indagationes mathematicae-New series. 25, 4, p. 713-744 32 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Goll, M., Schmidt, K., & Verbitskiy, E. (2014). Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic points. Indagationes mathematicae-New series, 25(4), 713-744. https://doi.org/10.1016/j.indag.2014.04.007

Author

Goll, Martin ; Schmidt, Klaus ; Verbitskiy, Evgeny. / Algebraic actions of the discrete Heisenberg group : Expansiveness and homoclinic points. In: Indagationes mathematicae-New series. 2014 ; Vol. 25, No. 4. pp. 713-744.

Harvard

Goll, M, Schmidt, K & Verbitskiy, E 2014, 'Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic points', Indagationes mathematicae-New series, vol. 25, no. 4, pp. 713-744. https://doi.org/10.1016/j.indag.2014.04.007

Standard

Algebraic actions of the discrete Heisenberg group : Expansiveness and homoclinic points. / Goll, Martin; Schmidt, Klaus; Verbitskiy, Evgeny.

In: Indagationes mathematicae-New series, Vol. 25, No. 4, 27.06.2014, p. 713-744.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Goll M, Schmidt K, Verbitskiy E. Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic points. Indagationes mathematicae-New series. 2014 Jun 27;25(4):713-744. https://doi.org/10.1016/j.indag.2014.04.007


BibTeX

@article{3fa9800248ac4f19964691a1eab1362c,
title = "Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic points",
abstract = "We survey some of the known criteria for expansiveness of principal algebraic actions of countably infinite discrete groups. In the special case of the discrete Heisenberg group we propose a new approach to this problem based on Allan's local principle.Furthermore, we present a first example of an absolutely summable homoclinic point for a nonexpansive action of the discrete Heisenberg group and use it to construct an equal-entropy symbolic cover of the system. (C) 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.",
keywords = "Expansiveness, Homoclinic points, Algebraic action, Symbolic covers, PERIODIC POINTS, Z(D)-ACTIONS, ENTROPY",
author = "Martin Goll and Klaus Schmidt and Evgeny Verbitskiy",
year = "2014",
month = "6",
day = "27",
doi = "10.1016/j.indag.2014.04.007",
language = "English",
volume = "25",
pages = "713--744",
journal = "Indagationes mathematicae-New series",
issn = "0019-3577",
publisher = "ELSEVIER SCIENCE BV",
number = "4",

}

RIS

TY - JOUR

T1 - Algebraic actions of the discrete Heisenberg group

T2 - Expansiveness and homoclinic points

AU - Goll, Martin

AU - Schmidt, Klaus

AU - Verbitskiy, Evgeny

PY - 2014/6/27

Y1 - 2014/6/27

N2 - We survey some of the known criteria for expansiveness of principal algebraic actions of countably infinite discrete groups. In the special case of the discrete Heisenberg group we propose a new approach to this problem based on Allan's local principle.Furthermore, we present a first example of an absolutely summable homoclinic point for a nonexpansive action of the discrete Heisenberg group and use it to construct an equal-entropy symbolic cover of the system. (C) 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

AB - We survey some of the known criteria for expansiveness of principal algebraic actions of countably infinite discrete groups. In the special case of the discrete Heisenberg group we propose a new approach to this problem based on Allan's local principle.Furthermore, we present a first example of an absolutely summable homoclinic point for a nonexpansive action of the discrete Heisenberg group and use it to construct an equal-entropy symbolic cover of the system. (C) 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

KW - Expansiveness

KW - Homoclinic points

KW - Algebraic action

KW - Symbolic covers

KW - PERIODIC POINTS

KW - Z(D)-ACTIONS

KW - ENTROPY

U2 - 10.1016/j.indag.2014.04.007

DO - 10.1016/j.indag.2014.04.007

M3 - Article

VL - 25

SP - 713

EP - 744

JO - Indagationes mathematicae-New series

JF - Indagationes mathematicae-New series

SN - 0019-3577

IS - 4

ER -

ID: 15772857