Kac's formula, vertices of chains and equidecomposability of functions and enhanced functions (PHD thesis)

Details Kac's formula, vertices of chains and equidecomposability of functions and enhanced functions (PHD thesis) Kac's formula, vertices of chains and equidecomposability of functions and enhanced functions (PHD thesis)

2006-02-13

arxiv.org/abs/math/0602277v2

Mathematics

Dynamical Systems

This is my PHD thesis of 1999. I'm correcting typos in the arXiv abstract

Scientific paper

This PHD thesis hinges on the terms mentioned in the title. It introduces a formalism which allows one to find equalities generalizing the formula of Mark Kac which deals with a measure-preserving transformation. The formalism is meaningful for general measure-preserving actions of groups ("discrete", "continuous", "multidimensional"). Some aspects of the notions introduced are investigated.

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