This $224,608 Project Grant award, made by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research on stochastic functional systems. The research aims to (i) explore long-term properties of stochastic functional differential equations, (ii) formulate new approaches to study fundamental properties of McKean-Vlasov stochastic functional differential equations, and (iii) propose a framework for functional stochastic...
This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award to Brown University, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $180,000 in funding from August 15, 2023 to July 31, 2026. The award supports fundamental research on random functions and stochastic processes on random graphs, including the analysis of roots of polynomials with random coefficients. The project also focuses on studying the...
The National Science Foundation (NSF) awarded a $200,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the University of Wisconsin-Madison to conduct fundamental research on mathematical models that describe complex interactions, growth, and motion in irregular environments with stochastic unpredictability. The project aims to discover general mathematical laws governing such systems, with real-world applications in areas like traffic flow,...
This Project Grant award, with a total funding amount of $200,000, was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award supports a research project that explores the mathematical study of random motion in random environments, with a focus on models of random growth. The project aims to extend the use of Busemann functions, a key analytical tool, to a wider class of stochastic Hamilton-Jacobi equations. This...
This $350,000 Project Grant was awarded by the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The grant will fund research to develop new mathematical and computational strategies for effectively incorporating randomness into the modeling and numerical solution of large-scale, complex problems arising in areas such as data analysis, artificial intelligence, geophysics, signal processing, and...
This $225,000 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports fundamental research on nonlinear oscillator chains. The research aims to rigorously study the nonequilibrium steady states of these simplified mathematical models, which serve as representations of complex physical processes like ocean turbulence and signal propagation in the brain. Key...
This $293,784 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental and applied research on fluctuating systems, random environments, and stochastic algorithms. The research aims to improve understanding and exploitation of randomness across diverse settings, including materials science, fluid dynamics, and machine learning. Key areas of focus include stochastic homogenization, stochastic partial...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $169,408, starting on June 1, 2024 and ending on August 31, 2026, supports research at the University of North Carolina at Chapel Hill (UNC-CH) on nonlinear stochastic partial differential equations and their applications. The project aims to develop a mathematical understanding of these equations, which arise in complex dynamic phenomena like global economic shifts and turbulent...
This federal Project Grant award of $239,999 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Brown University focused on probability flows and stochastic processes. The project aims to advance the theory and computation of multi-marginal optimal transport problems, which have applications in fields ranging from quantum chemistry and economics to data science. Additionally, the project will investigate the structure of...
This $149,989 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research to develop statistical models and inference methods for analyzing random point processes. The research will provide tools for analyzing time series of point process data, with applications in fields such as national security, economics, neuroscience, and geosciences. Key activities include developing parameter estimation procedures,...
This $198,173 Project Grant was awarded on August 1, 2024 by the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) to the University of Rhode Island. The award supports collaborative research to explore the properties, behaviors, and applications of stochastic functional differential equations and functional stochastic approximation algorithms across disciplines including ecology, infectious disease modeling, control engineering, neural networks, and data science. The project aims to advance the fundamental mathematical theory in these areas, develop new computational techniques, and apply the research to address specific real-world problems. It will also provide research opportunities for graduate students and engage high school students through mathematics competitions, while working to strengthen networks between academia, students, and industry.