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- W4205694560 abstract "It is illustrated by a few mathematical results (mainly from combinatorics and discrete geometry) that even the most chaotic structures necessarily contain relatively large symmetric substructures; minor perturbations may lead to radical transformations of a symmetrical system; some properties of symmetrical structures are stable. We give a new elementary proof of (a generalization of) the following theorem conjectured by M. Freedman. Let S denote the set of all lattice points in the plane with integer coordinates, and consider a mapping from S into the plane satisfying some Lipschitz condition. Then any sufficiently large disc contains at least one point which is the image of a lattice point." @default.
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- W4205694560 date "1989-01-01" @default.
- W4205694560 modified "2023-09-26" @default.
- W4205694560 title "DELICATE SYMMETRY" @default.
- W4205694560 doi "https://doi.org/10.1016/b978-0-08-037237-2.50015-5" @default.
- W4205694560 hasPublicationYear "1989" @default.
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