Iterated Monodromy Group - Action

Action

The iterated monodromy group acts by automorphism on the rooted tree of preimages

where a vertex is connected by an edge with .

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Famous quotes containing the word action:

    Strange goings on! Jones did it slowly, deliberately, in the bathroom, with a knife, at midnight. What he did was butter a piece of toast. We are too familiar with the language of action to notice at first an anomaly: the ‘it’ of ‘Jones did it slowly, deliberately,...’ seems to refer to some entity, presumably an action, that is then characterized in a number of ways.
    Donald Davidson (b. 1917)

    His eloquence was of every kind, and he excelled in the argumentative as well as in the declamatory way. But his invectives were terrible, and uttered with such energy of diction, and stern dignity of action and countenance, that he intimidated those who were the most willing and the best able to encounter him. Their arms fell out of their hands, and they shrunk under the ascendant which his genius gained over theirs.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)