On δ -deformations of Polygonal Dendrites › Обзор исследований

Standard

On δ -deformations of Polygonal Dendrites. / Drozdov, Dmitry; Samuel, Mary; Tetenov, Andrei.

Topological Dynamics and Topological Data Analysis, IWCTA 2018. ред. / Robert L. Devaney; Kit C. Chan; P. B. Vinod Kumar. Springer, 2021. стр. 147-164 (Springer Proceedings in Mathematics and Statistics; Том 350).

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

Harvard

Drozdov, D, Samuel, M & Tetenov, A 2021, On δ -deformations of Polygonal Dendrites. в RL Devaney, KC Chan & PB Vinod Kumar (ред.), Topological Dynamics and Topological Data Analysis, IWCTA 2018. Springer Proceedings in Mathematics and Statistics, Том. 350, Springer, стр. 147-164, 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018, Kochi, Индия, 09.12.2018. https://doi.org/10.1007/978-981-16-0174-3_11

APA

Drozdov, D., Samuel, M., & Tetenov, A. (2021). On δ -deformations of Polygonal Dendrites. в R. L. Devaney, K. C. Chan, & P. B. Vinod Kumar (Ред.), Topological Dynamics and Topological Data Analysis, IWCTA 2018 (стр. 147-164). (Springer Proceedings in Mathematics and Statistics; Том 350). Springer. https://doi.org/10.1007/978-981-16-0174-3_11

Vancouver

Drozdov D, Samuel M, Tetenov A. On δ -deformations of Polygonal Dendrites. в Devaney RL, Chan KC, Vinod Kumar PB, Редакторы, Topological Dynamics and Topological Data Analysis, IWCTA 2018. Springer. 2021. стр. 147-164. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-981-16-0174-3_11

Author

Drozdov, Dmitry ; Samuel, Mary ; Tetenov, Andrei. / On δ -deformations of Polygonal Dendrites. Topological Dynamics and Topological Data Analysis, IWCTA 2018. Редактор / Robert L. Devaney ; Kit C. Chan ; P. B. Vinod Kumar. Springer, 2021. стр. 147-164 (Springer Proceedings in Mathematics and Statistics).

BibTeX

@inproceedings{86e1b99eb4464cd9ab306df4dc7af776,

title = "On δ -deformations of Polygonal Dendrites",

abstract = "We find the conditions under which the attractor K(S′) of a deformation S′ of a contractible P-polygonal system S in R2 is a dendrite. The most important one is the parameter matching condition at the points where the images of the vertices of the polygon P meet.",

keywords = "Attractor, Generalized polygonal system, Parameter matching theorem, Post-critically finite set, Self-similar dendrite, Zipper",

author = "Dmitry Drozdov and Mary Samuel and Andrei Tetenov",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Singapore Pte Ltd.; 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018 ; Conference date: 09-12-2018 Through 11-12-2018",

year = "2021",

doi = "10.1007/978-981-16-0174-3_11",

language = "English",

isbn = "9789811601736",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "147--164",

editor = "Devaney, {Robert L.} and Chan, {Kit C.} and {Vinod Kumar}, {P. B.}",

booktitle = "Topological Dynamics and Topological Data Analysis, IWCTA 2018",

address = "United States",

}

RIS

TY - GEN

T1 - On δ -deformations of Polygonal Dendrites

AU - Drozdov, Dmitry

AU - Samuel, Mary

AU - Tetenov, Andrei

PY - 2021

Y1 - 2021

N2 - We find the conditions under which the attractor K(S′) of a deformation S′ of a contractible P-polygonal system S in R2 is a dendrite. The most important one is the parameter matching condition at the points where the images of the vertices of the polygon P meet.

AB - We find the conditions under which the attractor K(S′) of a deformation S′ of a contractible P-polygonal system S in R2 is a dendrite. The most important one is the parameter matching condition at the points where the images of the vertices of the polygon P meet.

KW - Attractor

KW - Generalized polygonal system

KW - Parameter matching theorem

KW - Post-critically finite set

KW - Self-similar dendrite

KW - Zipper

UR - http://www.scopus.com/inward/record.url?scp=85116324587&partnerID=8YFLogxK

U2 - 10.1007/978-981-16-0174-3_11

DO - 10.1007/978-981-16-0174-3_11

M3 - Conference contribution

AN - SCOPUS:85116324587

SN - 9789811601736

T3 - Springer Proceedings in Mathematics and Statistics

SP - 147

EP - 164

BT - Topological Dynamics and Topological Data Analysis, IWCTA 2018

A2 - Devaney, Robert L.

A2 - Chan, Kit C.

A2 - Vinod Kumar, P. B.

PB - Springer

T2 - 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018

Y2 - 9 December 2018 through 11 December 2018

ER -

ID: 34375479