Probabilistic Symmetries and Invariance Principles

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.