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

Eliahu Levy
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Abstract

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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Eliahu Levy. 2006-06-08. Kac's formula, vertices of chains and equidecomposability of functions and enhanced functions (PHD thesis). https://arxiv.org/abs/math/0602277

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