Probabilistic Symmetries and Invariance Principles

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Exploring the foundational symmetries of probability theory, this book delves into contractability, exchangeability, and rotatability, highlighting their invariance under different transformations. Building on de Finetti's groundbreaking work, it presents a wealth of results that reveal surprising connections between these symmetries and other probability domains. Aimed at graduate students and researchers, the text is accessible with a basic understanding of probability, and includes comprehensive references for further exploration in real analysis and probability.