An Application of Ergodic Theory
An Application of Ergodic Theory to Geometric Ramsey Theory
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This book is an application of Ergodic Theory to a Geometric Ramsey Theory. We first present two examples from Geometric Ramsey theory in R^2. Then we generalize these results to higher dimensions. After that we construct our main theorem which is in a geometric form. Then we translate our geometric problem into dynamical form. Finally we prove the main theorem by using methods from ergodic theory.
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