Zobrazeno 1 - 10
of 142
pro vyhledávání: '"Strobin, Filip"'
For a metric Peano continuum $X$, let $S_X$ be a Sierpi\'nski function assigning to each $\varepsilon>0$ the smallest cardinality of a cover of $X$ by connected subsets of diameter $\le \varepsilon$. We prove that for any increasing function $\Omega:
Externí odkaz:
http://arxiv.org/abs/2305.17200
We review the theory of semiattractors associated with non-contractive Iterated Function Systems (IFSs) and demonstrate its applications on a concrete example. In particular, we present criteria for the existence of semiattractors due to Lasota and M
Externí odkaz:
http://arxiv.org/abs/2209.04667
Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. And contractivity of the functions in the IFS has been central to the theory of iterated functions systems. If the fu
Externí odkaz:
http://arxiv.org/abs/2205.01185
Publikováno v:
In Fuzzy Sets and Systems 30 January 2025 500
We prove that the idempotent Markov operator generated by contractive max plus normalized iterated function system (IFS) is also a contractive map w.r.t. natural metrics on the space of idempotent measures. This gives alternative proofs of the existe
Externí odkaz:
http://arxiv.org/abs/2109.13045
We provide a new approach to the Hutchinson-Barnsley theory for idempotent measures first presented in N. Mazurenko, M. Zarichnyi, Invariant idempotent measures, Carpathian Math. Publ., 10 (2018), 1, 172--178. The main feature developed here is a met
Externí odkaz:
http://arxiv.org/abs/2109.13040
We give a systematic account of iterated function systems (IFS) of weak contractions of different types (Browder, Rakotch, topological). We show that the existence of attractors and asymptotically stable invariant measures, and the validity of the ra
Externí odkaz:
http://arxiv.org/abs/2004.11057
Akademický článek
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We introduce the discrete version of the Hutchinson--Barnsley theory providing algorithms to approximate the Hutchinson measure for iterated function systems (IFS) and generalized iterated function systems (GIFS) complementing the discrete version of
Externí odkaz:
http://arxiv.org/abs/1909.03052
We provide a new algorithm to generate images of the generalized fuzzy fractal attractors described in Oliveira-2017. We also provide some important results on the approximation of fractal operators to discrete subspaces with application to discrete
Externí odkaz:
http://arxiv.org/abs/1907.01094