This National Science Foundation project grant of $331,556 supports fundamental research on mathematical models of growth and motion in random media from June 1, 2022 to May 31, 2025. The award is made under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise.
Specifically, the University of Wisconsin-Madison will investigate mathematical descriptions of first-passage percolation, the corner growth model, random walk in random environment, directed polymer models, and stochastic partial differential equations. Objectives include rigorous analysis of model behavior, development of analytical tools, and descriptions of properties like limit shapes, path lengths and fluctuations, ergodic dynamics, and probability distributions of complicated random geometric objects. Insights from this research could illuminate real-world phenomena involving vehicle motion, communication networks, fluid flow, epidemics, and polymer dynamics. Graduate training is also supported.
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