Found 41 Documents (Results 1–41)
Separation conditions for iterated function systems with overlaps on Riemannian manifolds. (English) Zbl 1529.28008
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials. (English) Zbl 1522.37037
Reviewer: Thomas B. Ward (Durham)
Finite type in measure sense for self-similar sets with overlaps. (English) Zbl 1468.28004
MSC:
28A80
When the weak separation condition implies the generalized finite type condition. (English) Zbl 1466.28010
Reviewer: Wen-hui Ai (Changsha)
MSC:
28A80
Open set condition and pseudo Hausdorff measure of self-affine IFSs. (English) Zbl 1440.28007
Reviewer: Peter Massopust (München)
Fractals from nonlinear IFSs of the complex mapping family \(f(z) = z^n + c\). (English) Zbl 1433.28010
Self-similarity, positive Lebesgue measure and nonempty interior. (English) Zbl 1396.28015
MSC:
28A80
Local dimensions of measures of finite type III – measures that are not equicontractive. (English) Zbl 1376.28008
J. Math. Anal. Appl. 458, No. 2, 1653-1677 (2018); corrigendum ibid. 483, No. 1, Article ID 123550, 1 p. (2020).
MSC:
28A80
Algorithms to test open set condition for self-similar set related to P.V. numbers. (English) Zbl 1305.28022
Reviewer: Tian You Hu (Green Bay)
MSC:
28A80
Graphs induced by iterated function systems. (English) Zbl 1303.28015
Reviewer: Boris A. Kats (Kazan)
Continuous dependence on parameters of certain self-affine measures, and their singularity. (English) Zbl 1249.28009
MSC:
28A80
Graph-directed systems and self-similar measures on limit spaces of self-similar groups. (English) Zbl 1210.28009
A lower bound for the symbolic multifractal spectrum of a self-similar multifractal with arbitrary overlaps. (English) Zbl 1178.28008
MSC:
28A78
Multifractal formalism for self-similar measures with weak separation condition. (English) Zbl 1184.28009
Reviewer: Wlodzimierz Ślȩzak (Bydgoszcz)
Bounds for the \(L^q\)-spectra of a self-similar multifractal not satisfying the open set condition. (English) Zbl 1170.28002
Reviewer: Ting Zhong (Zhangjiajie, Hunan)
MSC:
28A80
Separation conditions for conformal iterated function systems. (English) Zbl 1172.28002
Reviewer: Hua Su (Beijing)
A compact framework for hidden Markov chains with applications to fractal geometry. (English) Zbl 1176.60064
Reviewer: Yimin Xiao (East Lansing)
Singularity of certain self-affine measures. (English) Zbl 1153.28303
MSC:
28A80
Sierpiński pedal triangles. (English) Zbl 1173.28006
Reviewer: Dorothee Haroske (Jena)
MSC:
28A80
On a generalized dimension of self-affine fractals. (English) Zbl 1153.28005
Reviewer: Zu-Guo Yu (Brisbane)
Absolute continuity of vector-valued self-affine measures. (English) Zbl 1149.46037
Reviewer: Mourad Ben Slimane (Tunis)
Singularity of a class of self-similar measures. (English) Zbl 1134.28009
Reviewer: Su Weiyi (Nanjing)
MSC:
28A80
Affine systems: asymptotics at infinity for fractal measures. (English) Zbl 1149.28004
Reviewer: Magdalena Hyksova (Praha)
Self-similar vector-valued measures. (English) Zbl 1112.28005
Reviewer: Bernd O. Stratmann (St. Andrews)
A generalized finite type condition for iterated function systems. (English) Zbl 1113.28006
Reviewer: Tian You Hu (Green Bay)
Laplace operators related to self-similar measures on \(\mathbb R^{d}\). (English) Zbl 1109.47038
Reviewer: Kun Soo Chang (Seoul)
Diffusion on multifractals. (English) Zbl 1224.60111
Multifractal structure and product of matrices. (English) Zbl 1059.28007
Reviewer: Mourad Ben Slimane (Tunis)
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