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Analysis in singular spaces is becoming an increasingly important area of research, with motivation coming from Calculus of Variations, PDEs, Geometric Analysis, Metric Geometry and Probability Theory, just to mention a few areas. In all these fields, the role of measure theory is crucial and an appropriate understanding of the interaction between the appropriate measure-theoretic framework and the objects under investigation is important to a successful research.

The aim of this book, which gathers contributions from leading specialists with different backgrounds, is that of creating...