نتایج جستجو برای: iterated function systems

تعداد نتایج: 2292449  

Journal: :Journal of Geometric Analysis 2023

We formulate the weak separation condition and finite type for conformal iterated function systems on Riemannian manifolds with nonnegative Ricci curvature, generalize main theorems by Lau et al. (Monatsch Math 156:325–355, 2009). also obtain a formula Hausdorff dimension of self-similar set defined an system satisfying condition, generalizing corresponding result Jin Yau (Commun Anal Geom 13:8...

Journal: :Communications in Contemporary Mathematics 2021

We study images of equilibrium (Gibbs) states for a class non-invertible transformations associated to conformal iterated function systems (IFSs) with overlaps [Formula: see text]. prove exact dimensionality these image measures, and find dimension formula using their overlap numbers. In particular, we obtain geometric the self-conformal measures IFSs overlaps, in terms This implies necessary s...

Journal: :Analysis and Geometry in Metric Spaces 2021

Abstract We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem Hata from 1985 asserts that every connected attractor an IFS is locally and path-connected. give quantitative strengthening Hata’s theorem. First we prove (1/ s )-Hölder path-connected, where similarity dimension IFS. Then show parameterized α)-Hölder curve fo...

Journal: :International Journal of Pure and Apllied Mathematics 2013

Journal: :Mathematical and computational applications 2023

This is a brief survey of selected results obtained using the “transversality method” developed for studying parametrized families fractal sets and measures. We mostly focus on early development theory, restricting ourselves to self-similar self-conformal iterated function systems.

2008
MICHAEL BARNSLEY

We establish properties of a new type of fractal which has partial self similarity at all scales. For any collection of iterated functions systems with an associated probability distribution and any positive integer V there is a corresponding class of V -variable fractal sets or measures with a natural probability distribution. These V -variable fractals can be obtained from the points on the a...

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