Displaying similar documents to “The Self-Similarity of the Josephus Problem and its Variants”

Self-similarity in chemotaxis systems

Yūki Naito, Takashi Suzuki (2008)

Colloquium Mathematicae

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We consider a system which describes the scaling limit of several chemotaxis systems. We focus on self-similarity, and review some recent results on forward and backward self-similar solutions to the system.

A perturbation characterization of compactness of self-adjoint operators

Heydar Radjavi, Ping-Kwan Tam, Kok-Keong Tan (2003)

Studia Mathematica

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A characterization of compactness of a given self-adjoint bounded operator A on a separable infinite-dimensional Hilbert space is established in terms of the spectrum of perturbations. An example is presented to show that without separability, the perturbation condition, which is always necessary, is not sufficient. For non-separable spaces, another condition on the self-adjoint operator A, which is necessary and sufficient for the perturbation, is given.

What is Genselfdual?

Bouyukliev, Iliya, Bouyuklieva, Stefka, Dzhumalieva-Stoeva, Maria, Monev, Venelin (2016)

Serdica Journal of Computing

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This paper presents developed software in the area of Coding Theory. Using it, all binary self-dual codes with given properties can be classified. The programs have consequent and parallel implementations. ACM Computing Classification System (1998): G.4, E.4.

On univoque points for self-similar sets

Simon Baker, Karma Dajani, Kan Jiang (2015)

Fundamenta Mathematicae

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Let K ⊆ ℝ be the unique attractor of an iterated function system. We consider the case where K is an interval and study those elements of K with a unique coding. We prove under mild conditions that the set of points with a unique coding can be identified with a subshift of finite type. As a consequence, we can show that the set of points with a unique coding is a graph-directed self-similar set in the sense of Mauldin and Williams (1988). The theory of Mauldin and Williams then provides...