Standard
On δ -deformations of Polygonal Dendrites. / Drozdov, Dmitry; Samuel, Mary; Tetenov, Andrei.
Topological Dynamics and Topological Data Analysis, IWCTA 2018. ed. / Robert L. Devaney; Kit C. Chan; P. B. Vinod Kumar. Springer, Cham, 2021. p. 147-164 (Springer Proceedings in Mathematics and Statistics; Vol. 350).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Harvard
Drozdov, D, Samuel, M
& Tetenov, A 2021,
On δ -deformations of Polygonal Dendrites. in RL Devaney, KC Chan & PB Vinod Kumar (eds),
Topological Dynamics and Topological Data Analysis, IWCTA 2018. Springer Proceedings in Mathematics and Statistics, vol. 350, Springer, Cham, pp. 147-164, 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018, Kochi, India,
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. In R. L. Devaney, K. C. Chan, & P. B. Vinod Kumar (Eds.),
Topological Dynamics and Topological Data Analysis, IWCTA 2018 (pp. 147-164). (Springer Proceedings in Mathematics and Statistics; Vol. 350). Springer, Cham.
https://doi.org/10.1007/978-981-16-0174-3_11
Vancouver
Drozdov D, Samuel M
, Tetenov A.
On δ -deformations of Polygonal Dendrites. In Devaney RL, Chan KC, Vinod Kumar PB, editors, Topological Dynamics and Topological Data Analysis, IWCTA 2018. Springer, Cham. 2021. p. 147-164. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-981-16-0174-3_11
Author
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, Cham",
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",
}
RIS
TY - GEN
T1 - On δ -deformations of Polygonal Dendrites
AU - Drozdov, Dmitry
AU - Samuel, Mary
AU - Tetenov, Andrei
N1 - Publisher Copyright:
© 2021, Springer Nature Singapore Pte Ltd.
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, Cham
T2 - 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018
Y2 - 9 December 2018 through 11 December 2018
ER -
