By Peter J. Nicholls

The interplay among ergodic thought and discrete teams has a protracted historical past and masses paintings used to be performed during this sector by means of Hedlund, Hopf and Myrberg within the Thirties. there was an exceptional resurgence of curiosity within the box, due in huge degree to the pioneering paintings of Dennis Sullivan. instruments were constructed and utilized with notable luck to many deep difficulties. The ergodic conception of discrete teams has develop into a considerable box of mathematical examine in its personal correct, and it's the target of this booklet to supply a rigorous creation from first rules to a couple of the key elements of the idea. the actual concentration of the e-book is at the awesome degree supported at the restrict set of a discrete workforce that was once first constructed by means of S. J. Patterson for Fuchsian teams, and later prolonged and subtle by way of Sullivan.

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