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Learn about microstructural descriptors and their role in characterizing disordered heterogeneous materials in this 40-minute conference presentation by Salvatore Torquato from Princeton University. Explore the comprehensive framework of correlation functions that quantitatively describe complex microstructures found in electrochemical systems, with particular emphasis on identifying descriptors that sensitively detect order and disorder across multiple length scales. Discover the emerging concept of hyperuniformity and its application in characterizing microstructures at the largest length scales. Examine how bulk transport properties of disordered heterogeneous materials are fundamentally determined by their intricate microstructural arrangements. Understand the practical applications of these theoretical frameworks for accurately predicting transport properties and implementing inverse design strategies to create materials with precisely tunable characteristics. Gain insights into the zoology of correlation functions and their significance in materials discovery, particularly within the context of electrochemical systems where microstructural control is crucial for performance optimization.