Kac's formula, vertices of chains and equidecomposability of functions and enhanced functions (PHD thesis)
Dynamical Systems
2009-09-29 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.math/0602277,
title = {Kac's formula, vertices of chains and equidecomposability of functions and enhanced functions (PHD thesis)},
author = {Eliahu Levy},
journal= {arXiv preprint arXiv:math/0602277},
year = {2009}
}
Comments
This is my PHD thesis of 1999. I'm correcting typos in the arXiv abstract