Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Andrei E. Ghenciu"'
Autor:
Andrei E. Ghenciu, Sara Munday
Publikováno v:
Journal of Number Theory. 228:359-374
In this paper, we look at a family of Renyi-like continued fraction expansions and the associated conformal iterated function systems. We show that for every k ≥ 2 , every such associated system has full Hausdorff dimension spectrum. We construct t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f26d1bc0a475c2fe587d8f2db6a0d9d6
https://doi.org/10.1016/j.jnt.2021.04.001
https://doi.org/10.1016/j.jnt.2021.04.001
Publikováno v:
Journal of Number Theory. 175:223-249
In this paper, we consider two dynamical systems associated to the nearest integer continued fraction, and show that both of them have full Hausdorff dimension spectrum.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cba3a6068a90946d83ad2e43c91bac65
https://doi.org/10.1016/j.jnt.2016.09.002
https://doi.org/10.1016/j.jnt.2016.09.002
Publikováno v:
Journal of Fractal Geometry. 3:217-243
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00e8560ee4c8f620684f7f12e8949b0e
https://doi.org/10.4171/jfg/35
https://doi.org/10.4171/jfg/35
Autor:
Simon Baker, Andrei E. Ghenciu
Publikováno v:
Journal of Mathematical Analysis and Applications. 430:633-647
We study the dynamical properties of certain shift spaces. To help study these properties we introduce two new classes of shifts, namely boundedly supermultiplicative (BSM) shifts and balanced shifts. It turns out that any almost specified shift is b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfa40154b527911b1a5fe354e69444e1
https://doi.org/10.1016/j.jmaa.2015.04.092
https://doi.org/10.1016/j.jmaa.2015.04.092
Autor:
Mario Roy, Andrei E. Ghenciu
Publikováno v:
Fundamenta Mathematicae. 221:231-265
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c9e24c17d0bb0534355ca93dec244b7
https://doi.org/10.4064/fm221-3-3
https://doi.org/10.4064/fm221-3-3
Autor:
Andrei E. Ghenciu
Publikováno v:
Real Anal. Exchange 34, no. 1 (2008), 17-28
To the Gauss-like continued fraction expansions we associate a conformal iterated function system whose limit set is of Lebesgue measure equal to 1. We show that the Texan Conjecture holds; i.e. for every $t \in [0,1]$ there exists a subsystem whose
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44e956f92942b32a28da36aabb745b01
http://projecteuclid.org/euclid.rae/1242738917
http://projecteuclid.org/euclid.rae/1242738917
Autor:
Andrei E. Ghenciu, Mario Roy
Publikováno v:
Real Analysis Exchange. 40:99
We study shift-generated finite conformal constructions; i.e., conformal constructions generated by a general shift (shift of finite type, sofic shift and non-sofic shift alike) over a finite alphabet. These constructions are not restricted to shifts
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1da3c62330f4dae0a571a32b8500249
https://doi.org/10.14321/realanalexch.40.1.0099
https://doi.org/10.14321/realanalexch.40.1.0099