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An Algorithmic Approach to Tilings of Hyperbolic Spaces: Universality Results

Margenstern M.

Fundamenta Informaticae

2015

Vol. 138, nr 1/2

113--125

In this paper, our results on algorithmic analysis of tiling in hyperbolic spaces are discussed. We overview results and developments obtained by the approach, focusing on the construction of universal cellular automata in hyperbolic spaces with a minimal number of cell states.

Rotative mappings in metric spaces of hyperbolic type

Górnicki J., Pupka K.

Journal of Mathematics and Applications

2006

Vol. 28

49-70

The aim of this paper is to give some conditions providing existence of fixed points for k-lipschitzian and uniformly k-lipschitzian mappings which are n-rotative with n ≥ 2 in complete metric spaces of hyperbolic type.

A Hartogs-type theorem for separately holomorphic mappings

Amal H.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 4

393-400

We prove that a separately holomorphic mapping from a cross W = E x V union of sets U x F, with U is a subset of C[sup n] and V is a subset C[sup n] be domains and E is a subset of U and F is a subset of V be locally pluriregular sets, into a hyperbolic complex space extends holomorphically to a neighbourhood of W.